Substructure Superelements

Craig-Bampton (CB) superelements are a reduction technique used in structural analysis to efficiently model complex systems while retaining their essential dynamic behavior. The CB method involves dividing a large finite element model into smaller substructures, each known as a superelement. These superelements are interconnected through shared degrees of freedom (DOFs) along the interface, see also 1 .

In the context of offshore wind turbine simulation, superelements are a powerful technique used to model complex structures efficiently and accurately. Superelements provide a way to break down a large, intricate structure into smaller, manageable substructures. Each superelement represents a portion of the overall structure, and they are interconnected to form the complete system.

In the offshore wind industry, it is common practice to perform sequentially coupled load analyses for fixed-bottom (offshore) wind turbines. This approach involves two main parties: the substructure designer and the wind turbine designer, see also 1 .

Substructure Designer:

The substructure designer performs a dynamic reduction of the offshore wind turbine’s substructure using a reduction method such as the linear Craig-Bampton (CB) method, which is a special case of the Guyan method. The reduction process yields reduced mass, damping, and stiffness matrices, along with reduced forces (hydrodynamic and gravitational) at the interface with the tower. This dynamic reduction results in a superelement representation of the substructure, which captures its essential behavior while reducing the computational complexity.

Wind Turbine Designer:

The wind turbine designer analyzes aeroelastic loads on the tower and rotor nacelle assembly using an aero-servo-elastic code such as QBlade. This code is capable of simultaneously processing the CB information at the tower base and throughout the rest of the structure. The loads from the full wind turbine simulation are communicated back to the substructure designer for further analysis.

Sequential Approach:

The process is called a sequential approach because the substructure and wind turbine designers perform time simulations separately and exchange interface loads and displacements iteratively. The substructure designer uses a finite element method (FEM) software to generate the superelement using the CB reduction method. The wind turbine designer performs a full wind turbine simulation using the superelement representation of the substructure. The interface time series (loads and displacements) from the full turbine simulation are passed back to the substructure designer for reanalysis, stress recovery, and code check. This iterative exchange of information allows both parties to consider the interactions between the substructure and wind turbine and perform more accurate simulations.

Benefits of the Sequential Approach:

The use of superelements with the CB reduction technique allows for compartmentalization of intellectual properties while accounting for interactions between the substructure and wind turbine. It improves computational efficiency by reducing the large number of degrees of freedom associated with standard finite element analysis of multimember structures. By retaining the fundamental low-frequency response modes, the method maintains the overall system’s fidelity, but its linearity and application require expertise.

Superelement Definitions

QBlade allows to define an arbitrary number of superelements within a substructure input file (see Substructure Overview) which, in the same way as Nonlinear Spring and Damper Constraints, can be assigned to connect two joints or to connect a joint to the ground. A typical application of a superelement would be for it to replace the explicit structural beam model of a jacket substructure.

In QBlade, a superelement is defined by a stiffness matrix K, a mass matrix M and optionally a damping matrix C. These matrices are defined by using the a set of keywords. If multiple superelements should be defined within a single substructure definition each keyword needs to be appended with the global superelement definition ID (SUPELEM_MASS_2, SUPELEM_STIFF_2 and SUPELEM_DAMP_2). If only a single superelement is used the global definition ID _<X> can optionally be omitted. It is important to note that the global definition ID _<X> needs to be appended to every keyword that describes a superelement definition. So to use two different superelement definitions, a SUPELEM_MASS_1 and SUPELEM_MASS_2 matrix is required, etc. Also, please note that a single superelement definition can be used in multiple constraints via the SUBCONSTRAINTS table. A superelement constraint is then identified by its constraint ID.

The minimum matrix size for a superelement is 6x6, these 6 DoF represent the DoF of the interface node of the superelement. These 6 modes are also called the Guyan modes. The additional DoF (above 6) are the Craig-Bampton modes.

Mass, Stiffness and Damping Matrices

The following exemplary matrices for the OC4 Jacket superelement are taken from the OpenFAST Github repository.

SUPELEM_MASS_<X>

is the keyword for the mass matrix. The matrix needs to be square and needs to have a minimum size of 6x6. <X> specifies the global ID of this superelement definition. _<X> can be omitted for the first superelement.

Listing 81 : An exemplary mass matrix for a superelement (size 31x31)
SUPELEM_MASS
9.62349663e+05  5.07244708e-11 -4.23103689e-11  5.67542783e-10 -5.28236955e+06  2.84384853e-10  3.60609453e+02 -4.21795932e-12  5.68434189e-14 -3.49587026e-12 -1.11910481e-13 -6.94910796e-12  1.71286635e+02 -2.67720068e-10 -5.19584376e-13  2.93098879e-13  6.61626264e+01 -1.92928340e-10 -1.12265752e-12 -1.76164254e+02  3.88521215e-10 -9.52127266e-13  7.49622586e-13  1.58440372e-10 -9.54272988e+01  2.84217094e-13  8.52651283e-14  5.09814413e-13 -4.95956670e+01 -1.36008182e-09 -3.62643943e-13
5.02697235e-11  9.62255787e+05 -3.00720954e-10  5.28204269e+06  2.42627584e-11  1.74721822e-09  6.66533495e-12  3.60594532e+02 -4.54924987e-12 -2.33058017e-12  2.45847787e-12  1.11199938e-12  2.66871858e-10  1.71280791e+02 -1.98419059e-12 -6.85673740e-13  1.92540650e-10  6.61575677e+01  3.02868841e-12  3.88151733e-10  1.76097008e+02  1.63424829e-12 -4.26325641e-14  9.55355779e+01  1.57776014e-10  2.84217094e-13  2.20268248e-13  4.19220214e-13  1.36034473e-09 -4.95618190e+01  2.58222263e-13
-4.32198636e-11 -3.00720954e-10  9.38302373e+05 -5.43480339e-09  1.36757045e-10 -2.40072354e-10  1.77635684e-15 -5.57776048e-13 -5.89750471e-13 -3.53139740e-12  2.89310003e-02  8.29517478e+01  3.21342952e-12 -8.17124146e-13  2.84061752e-02 -1.33171368e+02  4.31654712e-13 -2.48689958e-13 -8.09101576e+01  4.26325641e-13  8.66862138e-13 -5.45693239e-02 -8.70414851e-13  2.48689958e-14 -3.80140364e-13  2.16574646e-02  2.20268248e-13  1.16342863e+02  5.16919840e-13 -7.67386155e-13 -1.61684683e+02
5.96646613e-10  5.28204269e+06 -5.52211488e-09  6.71710431e+07  5.19372141e-09  6.36789574e-09  3.24149596e-11  6.82513608e+03 -1.16585852e-10 -5.76392267e-11 -4.14956958e-12  3.13775672e-11  4.05203338e-09  2.57258734e+03 -4.54747351e-12  1.40971679e-11  3.27209904e-09  1.11887783e+03  2.27942110e-11  4.00615363e-09  1.80141709e+03 -8.52651283e-13  2.27373675e-12  1.02076670e+03  1.69688974e-09 -1.45519152e-11 -8.41282599e-12 -1.75077730e-11  2.16663807e-08 -7.90339629e+02  4.68378114e-11
-5.28236955e+06 -4.84107210e-12  1.65860876e-10  5.25192907e-09  6.71760707e+07 -1.88736567e-09 -6.82540351e+03  9.20437060e-11  1.27329258e-11  6.15045792e-11  1.93836058e-11  9.96465133e-11 -2.57268757e+03  4.00778433e-09 -4.02167188e-12 -1.37276857e-11 -1.11895113e+03  3.25478311e-09  1.88720151e-11  1.80213474e+03 -3.98034672e-09  1.79625204e-11 -1.05160325e-11 -1.68893166e-09  1.01964602e+03  4.66116035e-12  4.23483471e-12  2.21689334e-12  7.90657287e+02  2.16987246e-08 -1.67410530e-11
1.38865700e-10  1.73266631e-09 -2.40072354e-10  6.83355703e-09 -2.81868825e-09  1.02967449e+07 -2.61479727e-12 -2.33200126e-11  5.63008746e-01 -2.55342290e+03 -1.35041311e-10 -1.06531672e-10 -4.72510919e-11  1.47011292e-11 -3.20996563e-11  2.84217094e-14 -3.25428573e-12 -1.70530257e-13 -2.06057393e-13  7.10542736e-14 -1.98951966e-13  3.49587026e-12 -1.98408716e-01  2.10320650e-12  1.56319402e-12  2.13731255e-11 -1.14981199e+03  1.53477231e-12 -3.16902060e-12  1.29318778e-12  3.02257525e-12
3.60609453e+02  6.66533495e-12  1.77635684e-15  3.24149596e-11 -6.82540351e+03 -2.61479727e-12  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.21795932e-12  3.60594532e+02 -5.57776048e-13  6.82513608e+03  9.20437060e-11 -2.33200126e-11  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.68434189e-14 -4.54924987e-12 -5.89750471e-13 -1.16585852e-10  1.27329258e-11  5.63008746e-01  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-3.49587026e-12 -2.33058017e-12 -3.53139740e-12 -5.76392267e-11  6.15045792e-11 -2.55342290e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.11910481e-13  2.45847787e-12  2.89310003e-02 -4.14956958e-12  1.93836058e-11 -1.35041311e-10  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-6.94910796e-12  1.11199938e-12  8.29517478e+01  3.13775672e-11  9.96465133e-11 -1.06531672e-10  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.71286635e+02  2.66871858e-10  3.21342952e-12  4.05203338e-09 -2.57268757e+03 -4.72510919e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.67720068e-10  1.71280791e+02 -8.17124146e-13  2.57258734e+03  4.00778433e-09  1.47011292e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.19584376e-13 -1.98419059e-12  2.84061752e-02 -4.54747351e-12 -4.02167188e-12 -3.20996563e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.93098879e-13 -6.85673740e-13 -1.33171368e+02  1.40971679e-11 -1.37276857e-11  2.84217094e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
6.61626264e+01  1.92540650e-10  4.31654712e-13  3.27209904e-09 -1.11895113e+03 -3.25428573e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.92928340e-10  6.61575677e+01 -2.48689958e-13  1.11887783e+03  3.25478311e-09 -1.70530257e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.12265752e-12  3.02868841e-12 -8.09101576e+01  2.27942110e-11  1.88720151e-11 -2.06057393e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.76164254e+02  3.88151733e-10  4.26325641e-13  4.00615363e-09  1.80213474e+03  7.10542736e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.88521215e-10  1.76097008e+02  8.66862138e-13  1.80141709e+03 -3.98034672e-09 -1.98951966e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-9.52127266e-13  1.63424829e-12 -5.45693239e-02 -8.52651283e-13  1.79625204e-11  3.49587026e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.49622586e-13 -4.26325641e-14 -8.70414851e-13  2.27373675e-12 -1.05160325e-11 -1.98408716e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.58440372e-10  9.55355779e+01  2.48689958e-14  1.02076670e+03 -1.68893166e-09  2.10320650e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-9.54272988e+01  1.57776014e-10 -3.80140364e-13  1.69688974e-09  1.01964602e+03  1.56319402e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.84217094e-13  2.84217094e-13  2.16574646e-02 -1.45519152e-11  4.66116035e-12  2.13731255e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
8.52651283e-14  2.20268248e-13  2.20268248e-13 -8.41282599e-12  4.23483471e-12 -1.14981199e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.09814413e-13  4.19220214e-13  1.16342863e+02 -1.75077730e-11  2.21689334e-12  1.53477231e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.95956670e+01  1.36034473e-09  5.16919840e-13  2.16663807e-08  7.90657287e+02 -3.16902060e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00
-1.36008182e-09 -4.95618190e+01 -7.67386155e-13 -7.90339629e+02  2.16987246e-08  1.29318778e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00
-3.62643943e-13  2.58222263e-13 -1.61684683e+02  4.68378114e-11 -1.67410530e-11  3.02257525e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00

SUPELEM_STIFF_<X>

is the keyword for the stiffness matrix. The matrix needs to be square and needs to have a minimum size of 6x6. <X> specifies the global ID of this superelement definition. _<X> can be omitted for the first superelement.

Listing 82 : An exemplary stiffness matrix for a superelement (size 31x31)
SUPELEM_STIFF
8.43408083e+07  1.70093408e+00 -2.98665579e-01 -1.27235487e-01 -2.32742574e+09 -8.89638805e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.70093407e+00  8.43407974e+07 -3.47132372e-01  2.32742570e+09  2.35131553e+00  2.22409205e+01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.98666294e-01 -3.47133325e-01  1.96653266e+09 -8.89595318e+00  3.05175781e-04  3.82992553e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.27237395e-01  2.32742570e+09 -8.89601421e+00  1.09880894e+11  5.78474426e+01 -6.38474651e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.32742574e+09  2.35131077e+00  2.44140625e-04  5.78474426e+01  1.09880894e+11  1.53579546e+01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
8.89639568e+00  2.22409358e+01  3.82992249e+00 -6.38456340e+00  1.53578326e+01  8.20023159e+09  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  8.27071909e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  8.27135704e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.07785834e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.31373750e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.42200736e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.64405336e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.68270024e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.68285762e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.17765046e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.74450663e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.05700783e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.05731505e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.73972065e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.86089760e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.86096001e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.05759493e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.22983825e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.49929678e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.49948480e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  5.33947790e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  5.43841131e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  6.51457159e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.04641399e+03  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.04695067e+03  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.97634193e+03

SUPELEM_DAMP_<X>

is the keyword for the optional damping matrix. The matrix needs to be square and needs to have a minimum size of 6x6. <X> specifies the global ID of this superelement definition. _<X> can be omitted for the first superelement. The damping matrix is only optional, superelement damping can also be assigned through Rayleigh damping coefficients or a critical damping of certain modes (see Superelement Damping). If Rayleigh damping is specified, or critical damping is assigned this matrix is overwritten with the damping evaluated through Rayleigh damping.

Listing 83 : An exemplary damping matrix for a superelement (size 31x31)
SUPELEM_DAMP
1.54140226e+05  1.03756979e-03 -1.82186007e-04 -7.76135866e-05 -1.98341136e+06 -5.42679668e-03  3.84806348e+01 -4.50098439e-13  6.06576123e-15 -3.73044315e-13 -1.19419674e-14 -7.41539310e-13  1.82779968e+01 -2.85684085e-11 -5.54448487e-14  3.12765813e-14  7.06021387e+00 -2.05873832e-11 -1.19798784e-13 -1.87984875e+01  4.14590989e-11 -1.01601501e-13  7.99922262e-14  1.69071721e-11 -1.01830471e+01  3.03288061e-14  9.09864184e-15  5.44022960e-14 -5.29235362e+00 -1.45134332e-10 -3.86977351e-14
1.03756979e-03  1.54130201e+05 -2.11750779e-04  1.98337646e+06  1.43430248e-03  1.35669617e-02  7.11257893e-13  3.84790425e+01 -4.85450453e-13 -2.48696210e-13  2.62344173e-13  1.18661454e-13  2.84778960e-11  1.82773732e+01 -2.11732978e-13 -7.31682448e-14  2.05460128e-11  7.05967405e+00  3.23191340e-13  4.14196714e-11  1.87913117e+01  1.74390635e-13 -4.54932092e-15  1.01946015e+01  1.68362785e-11  3.03288061e-14  2.35048248e-14  4.47349890e-14  1.45162386e-10 -5.28874170e+00  2.75548977e-14
-1.82186444e-04 -2.11751361e-04  1.29971117e+06 -5.42653202e-03  1.86171820e-07  2.33625455e-03  1.89555038e-16 -5.95202820e-14 -6.29322727e-14 -3.76835416e-13  3.08722704e-03  8.85178101e+00  3.42905064e-13 -8.71953176e-14  3.03122296e-03 -1.42107167e+01  4.60618743e-14 -2.65377054e-14 -8.63392292e+00  4.54932092e-14  9.25028587e-14 -5.82309255e-03 -9.28819688e-14  2.65377054e-15 -4.05647782e-14  2.31106805e-03  2.35048248e-14  1.24149470e+01  5.51605162e-14 -8.18877766e-14 -1.72533725e+01
-7.76147470e-05  1.98337646e+06 -5.42656926e-03  7.41951676e+07  3.52869406e-02 -3.89469469e-03  3.45900034e-12  7.28310271e+02 -1.24408763e-11 -6.15068188e-12 -4.42800570e-13  3.34830020e-12  4.32392481e-10  2.74520795e+02 -4.85260898e-13  1.50430878e-12  3.49165688e-10  1.19395453e+02  2.43237025e-12  4.27496654e-10  1.92229217e+02 -9.09864184e-14  2.42630449e-13  1.08926015e+02  1.81075104e-10 -1.55283487e-12 -8.97732662e-13 -1.86825446e-12  2.31201948e-09 -8.43371418e+01  4.99806286e-12
-1.98341136e+06  1.43429957e-03  1.48943480e-07  3.52869406e-02  7.41957040e+07  9.36835213e-03 -7.28338809e+02  9.82198387e-12  1.35873051e-12  6.56315365e-12  2.06842458e-12  1.06332794e-11 -2.74531491e+02  4.27670665e-10 -4.29152607e-13 -1.46488134e-12 -1.19403275e+02  3.47317906e-10  2.01383273e-12  1.92305798e+02 -4.24742798e-10  1.91678055e-12 -1.12216583e-12 -1.80225898e-10  1.08806426e+02  4.97392421e-13  4.51899211e-13  2.36564688e-13  8.43710391e+01  2.31547090e-09 -1.78643776e-12
-5.42680135e-03  1.35669710e-02  2.33625269e-03 -3.89458295e-03  9.36827756e-03  6.10090692e+06 -2.79025016e-13 -2.48847854e-12  6.00786632e-02 -2.72475757e+02 -1.44102583e-11 -1.13679948e-11 -5.04216402e-12  1.56875750e-12 -3.42535432e-12  3.03288061e-15 -3.47264830e-13 -1.81972837e-14 -2.19883844e-14  7.58220153e-15 -2.12301643e-14  3.73044315e-13 -2.11721941e-02  2.24433165e-13  1.66808434e-13  2.28072622e-12 -1.22696437e+02  1.63775553e-13 -3.38166188e-13  1.37996068e-13  3.22539004e-13
3.84806348e+01  7.11257893e-13  1.89555038e-16  3.45900034e-12 -7.28338809e+02 -2.79025016e-13  6.11223865e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.50098439e-13  3.84790425e+01 -5.95202820e-14  7.28310271e+02  9.82198387e-12 -2.48847854e-12  0.00000000e+00  6.11262780e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
6.06576123e-15 -4.85450453e-13 -6.29322727e-14 -1.24408763e-11  1.35873051e-12  6.00786632e-02  0.00000000e+00  0.00000000e+00  7.64203586e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-3.73044315e-13 -2.48696210e-13 -3.76835416e-13 -6.15068188e-12  6.56315365e-12 -2.72475757e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  9.08089876e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.19419674e-14  2.62344173e-13  3.08722704e-03 -4.42800570e-13  2.06842458e-12 -1.44102583e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  9.74134488e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-7.41539310e-13  1.18661454e-13  8.85178101e+00  3.34830020e-12  1.06332794e-11 -1.13679948e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.10958255e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.82779968e+01  2.84778960e-11  3.42905064e-13  4.32392481e-10 -2.74531491e+02 -5.04216402e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.13315715e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.85684085e-11  1.82773732e+01 -8.71953176e-14  2.74520795e+02  4.27670665e-10  1.56875750e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.13325315e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.54448487e-14 -2.11732978e-13  3.03122296e-03 -4.85260898e-13 -4.29152607e-13 -3.42535432e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.43507678e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.12765813e-14 -7.31682448e-14 -1.42107167e+01  1.50430878e-12 -1.46488134e-12  3.03288061e-15  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.78085904e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.06021387e+00  2.05460128e-11  4.60618743e-14  3.49165688e-10 -1.19403275e+02 -3.47264830e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.97148478e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.05873832e-11  7.05967405e+00 -2.65377054e-14  1.19395453e+02  3.47317906e-10 -1.81972837e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.97167218e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.19798784e-13  3.23191340e-13 -8.63392292e+00  2.43237025e-12  2.01383273e-12 -2.19883844e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.38793960e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.87984875e+01  4.14196714e-11  4.54932092e-14  4.27496654e-10  1.92305798e+02  7.58220153e-15  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.46185753e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
4.14590989e-11  1.87913117e+01  9.25028587e-14  1.92229217e+02 -4.24742798e-10 -2.12301643e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.46189561e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.01601501e-13  1.74390635e-13 -5.82309255e-03 -9.09864184e-14  1.91678055e-12  3.73044315e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.58184291e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.99922262e-14 -4.54932092e-15 -9.28819688e-14  2.42630449e-13 -1.12216583e-12 -2.11721941e-02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.68691133e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.69071721e-11  1.01946015e+01  2.65377054e-15  1.08926015e+02 -1.80225898e-10  2.24433165e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.85128104e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.01830471e+01  1.68362785e-11 -4.05647782e-14  1.81075104e-10  1.08806426e+02  1.66808434e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.85139573e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.03288061e-14  3.03288061e-14  2.31106805e-03 -1.55283487e-12  4.97392421e-13  2.28072622e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.36379152e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
9.09864184e-15  2.35048248e-14  2.35048248e-14 -8.97732662e-13  4.51899211e-13 -1.22696437e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.42414090e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.44022960e-14  4.47349890e-14  1.24149470e+01 -1.86825446e-12  2.36564688e-13  1.63775553e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.08059867e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.29235362e+00  1.45162386e-10  5.51605162e-14  2.31201948e-09  8.43710391e+01 -3.38166188e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.40502253e+00  0.00000000e+00  0.00000000e+00
-1.45134332e-10 -5.28874170e+00 -8.18877766e-14 -8.43371418e+01  2.31547090e-09  1.37996068e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.40534991e+00  0.00000000e+00
-3.86977351e-14  2.75548977e-14 -1.72533725e+01  4.99806286e-12 -1.78643776e-12  3.22539004e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.97227857e+00


Superelement Damping

All following keywords are optional, if no damping matrix is assigned and none of the following keywords are used no damping will be present in the superelement. If a damping matrix has been assigned manually and Rayleigh damping is specified through the keywords below, the manually assigned damping matrix will be overwritten with the newly evaluated (Rayleigh) damping matrix.

SUPELEM_ALPHA_<X>

is the keyword to define the mass-proportional Rayleigh damping alpha coefficient.

Listing 84 : SUPELEM_ALPHA example, to specify an alpha coefficient of 0.001
0.001 SUPELEM_ALPHA

SUPELEM_BETA_<X>

is the keyword to define the stiffness-proportional Rayleigh damping beta coefficient.

Listing 85 : SUPELEM_BETA example, to specify a beta coefficient of 0.002
0.002 SUPELEM_BETA

SUPELEM_CRIT_DAMPING_<X>

is a keyword to directly specify a percentage of critical damping for user selected modes of the superelement. The user needs to supply three values. The percentage of critical damping followed by the numbers of two modes for which the critical damping should be tuned. Based on the percentage of critical damping and the two modes the Rayleigh alpha and beta coefficients are automatically set by the program.

Listing 86 : SUPELEM_CRIT_DAMPING example, to specify a a critical damping of 1% for modes 1 and 3
0.01 1 3 SUPELEM_CRIT_DAMPING


Time Integration Parameters

The following parameters are optional and if not user specified are set to their default values.

SUPELEM_SUBSTEP_<X>

is a keyword to control how many sub time integration steps should be performed on the superelement during a normal structural timestep. The default value is 1, meaning one integration step per structural timestep. If the superelement simulation is diverging increasing this value might prevent the superelement simulation from diverging.

Listing 87 : SUPELEM_SUBSTEP example, to set the number of substeps to 5
5 SUPELEM_SUBSTEP

SUPELEM_INTEGRATOR_<X>

is a keyword with which the user can choose from two different time integrators to evaluate the kinematics of the superelement.

• 1: The integration is performed with Runge-Kutta 4 (RK4) (more accurate)

• 2: The integration is performed by first order Euler integration. (faster)

The default value is 1: RK4.

Listing 88 : SUPELEM_INTEGRATOR example, to set integrator to 1st order Euler
2 SUPELEM_INTEGRATOR


Initial Conditions and DoF

The following parameters are optional, and as default all Craig-Bampton (CB) modes of the superelement definition are active and all initial positions and velocities are set to zero.

SUPELEM_INACTIVE_CB_<X>

this keyword can be used to deactivate individual CB modes of the superelement, such as for a sensitivity analysis or to remove a high frequency mode from the superelement. It is important to note that after removing a certain CB mode (for example the first CB mode which is the 7th row/column of the matrices) all remaining CB modes keep their identification numbers. If for example from a 31x31 sized superelement (6 Guyan + 25 CB modes) the first CB mode is removed (7th row/column) the last CB mode will still be mode 25 (and not 24). This is important when assigning initial conditions or forces to specific CB modes.

Listing 89 : SUPELEM_INACTIVE_CB example, to remove the first 10 CB modes
1 2 3 4 5 6 7 8 9 10 SUPELEM_INACTIVE_CB

SUPELEM_INIT_CB_<X>

this keyword specifies for which CB modes boundary conditions should be set. The CB mode numbering here is unaffected from the removal oif CB modes via the keyword SUPELEM_INACTIVE_CB<X>.

Listing 90 : SUPELEM_INIT_CB example, to specify initial conditions for the CB modes 11 12 and 13
11 12 13 SUPELEM_INIT_CB

SUPELEM_INIT_POS_<X>

this keyword sets the defined modal positions as initial conditions to the modes that were specified by SUPELEM_INIT_CB<X>.

Listing 91 : SUPELEM_INIT_POS example, to specify initial modal positions 1, 2 and 3
1 2 3 SUPELEM_INIT_POS

SUPELEM_INIT_VEL_<X>

this keyword sets the defined modal velocities as initial conditions to the modes that were specified by SUPELEM_INIT_CB<X>.

Listing 92 : SUPELEM_INIT_VEL example, to specify initial modal velocities 1, -2 and 10
1 -2 10 SUPELEM_INIT_VEL


Assigning Superelements in the Constraint Table

In QBlade, superelements can be assigned via the Substructure Constraints Table in the same way that Nonlinear Spring and Damper Constraints are defined. The negative global superelement ID needs to be assigned to the Sping column of the SUBCONSTRAINTS table. If only a single superelement definition exists in the substructure file the superelement ID is automatically 1. If multiple superelements are defined the ID is defined by the number appended to the superelement keywords, such as: SUPELEM_STIFF_2. If multiple elements are defined their ID’s need to start from 1 in ascending order (1, 2, 3…, N).

Listing 93 : Superelements assigned to connections in the SUBCONSTRAINTS table
SUBCONSTRAINTS
CstID   JntID   JntCon  TpCon   GrdCon  Spring  DoF_X   DoF_Y   DoF_Z   DoF_rX  DoF_rY  DoF_rZ
1       1       2       0       0      -1       1       1       1       1       1       1
2       3       0       0       1      -2       1       1       1       1       1       1
3       4       5       0       0      -2       1       1       1       0       0       0


In the example above superelements are assigned to connections via the SUBCONSTRAINTS table. The first constraint (CstID 1) connects Joint 1 with Joint 2 via the superelement ID 1. The second constraint (CstID 2) connects Joint 3 to the ground via the superelement ID 2. The third constraint (CstID 3) connects Joint 4 to Joint 5 via superelement ID 2, however this time only the translational Dof of the superelement (DoF_X, DoF_Y and DoF_Z) are activated, while the rotational Dof (DoF_rX, DoF_rY, DoF_rZ) are deactivated.

What this example also shows is that it is possible to use a single superelement definition for multiple constraints, in the example above superelement ID 2 is assigned to the constraints 2 and 3. To distinguish these superelement constraints (for example to apply a loading or to specify an output sensor) once a superelement has been assigned to a constraint it is identified by its constraint ID.

Loads can be assigned to a superelement using the External Loading File format (see Turbine Events and Operation). In this context it is important to note the Constraint ID with which a superelement is identified.

Furthermore, it is possible to overwrite the mass, stiffness or damping matrices in an External Loading File. This is useful so that superelement dynamics can be tailored individually on a per- Design Load Case basis, where the superelement dynamics might be dependent on the seastate or other factors. Below is a list of the keywords that are automatically detected in an External Loading File. The keywords themselves have been explained in the previous sections of the superelement descriptions.

• SUPELEM_MASS_<X>

• SUPELEM_STIFF_<X>

• SUPELEM_DAMP_<X>

• SUPELEM_ALPHA_<X>

• SUPELEM_BETA_<X>

• SUPELEM_CRIT_DAMPING_<X>

To assign a load to a superelement the keyword CST_<X>_FEXT needs to be followed by a matrix with the time dependent loading data, where the <X> is the constraint ID of the superelement constraint. In the following matrix, the first column needs to be time in [s] in ascending order. QBlade will interpolate loads linearly between the given timestamps. The following column are for the modal loading data, the first six columns for the Guyan modes, followed by the columns for the Craig-Bampton modes. The last column can optionally contain wave elevation data.

Listing 94 : An External Loading File containing superelement loads over 5s. The first column is time, followed by 31 columns of loads.
CST_2_FEXT
0.0000  0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000 0.00000000E+000
0.0500  9.65000686E+001 6.75167835E+001 5.59603921E+000 1.94085426E+003 -1.67607231E+003        2.78103398E+002 2.11807086E-001 3.06056353E-001 -7.16636965E-002        -1.32221499E-001        -3.09321068E-001        2.96320552E-001 9.57080020E-002 3.21900660E-001 3.57202184E-002 5.96997460E-002 5.33285560E-002 4.81000055E-001 1.72809280E-001 4.83297577E-002 -6.30939698E-001        2.94163321E-003 4.43763165E-002 -3.13644503E-001        1.94766802E-002 2.33182037E-002 -6.18114234E-002        -5.53942774E-002        5.30193399E-002 7.02684111E-001 9.46807268E-003
0.1000  3.98574430E+002 2.59332684E+002 1.82706921E+001 7.47829471E+003 -6.92289659E+003        1.09740732E+003 8.74685831E-001 1.14434069E+000 -2.76968546E-001        -5.19268481E-001        -1.28478827E+000        1.23262268E+000 4.01892051E-001 1.36701033E+000 1.50417675E-001 2.42428870E-001 2.22090382E-001 1.89938130E+000 7.21634735E-001 1.87100094E-001 -2.49046348E+000        -8.84231549E-003        1.86783023E-001 -1.21610177E+000        6.84245151E-002 1.14054073E-001 -2.59647750E-001        -2.04940011E-001        2.34428052E-001 2.72601597E+000 4.10980676E-002
0.1500  9.20902919E+002 5.57660161E+002 2.79504276E+001 1.61333674E+004 -1.60244840E+004        2.42797079E+003 2.02760045E+000 2.39957975E+000 -5.98071745E-001        -1.13914268E+000        -2.94095794E+000        2.82377281E+000 9.41529359E-001 3.19236706E+000 3.40366359E-001 5.46137895E-001 5.25207967E-001 4.17282895E+000 1.66155238E+000 4.29828251E-001 -5.48152513E+000        -5.51334107E-002        4.43560645E-001 -2.61001767E+000        1.54789384E-001 2.66786020E-001 -6.23996051E-001        -4.49311187E-001        5.37891085E-001 5.87009707E+000 9.56980366E-002
0.2000  1.66074968E+003 9.60831149E+002 3.12738173E+001 2.78458318E+004 -2.88538578E+004        4.24551091E+003 3.64371435E+000 4.07500658E+000 -1.02940858E+000        -1.97902132E+000        -5.22088903E+000        5.03587109E+000 1.72023919E+000 5.74465880E+000 6.05059317E-001 9.68622572E-001 9.62504643E-001 7.27313761E+000 2.98399608E+000 7.41792099E-001 -9.56757118E+000        -1.60309028E-001        8.11027507E-001 -4.48564981E+000        2.48517642E-001 5.06241124E-001 -1.15092282E+000        -7.43915902E-001        9.99171958E-001 1.01144637E+001 1.78505936E-001
0.2500  2.62372626E+003 1.42902258E+003 1.25455692E+001 4.15596879E+004 -4.55032616E+004        6.47673272E+003 5.82425169E+000 5.98826481E+000 -1.53344403E+000        -2.95031135E+000        -8.17550256E+000        7.45692586E+000 2.44732453E+000 8.85324104E+000 9.84904666E-001 1.51373735E+000 1.44339048E+000 1.09199422E+001 4.56576688E+000 9.40367411E-001 -1.44118339E+001        -3.86590861E-001        1.23100584E+000 -6.60886918E+000        2.06090741E-001 9.40983842E-001 -1.91062403E+000        -9.11682636E-001        1.61850554E+000 1.50152256E+001 3.06783514E-001
0.3000  3.78408077E+003 2.06404603E+003 -1.68034618E+001        5.98751187E+004 -6.52427075E+004        9.22765971E+003 8.18360614E+000 8.72882247E+000 -2.19303649E+000        -4.22867370E+000        -1.10862475E+001        1.07816894E+001 3.95805957E+000 1.24097347E+001 1.29250709E+000 2.12660986E+000 2.27359367E+000 1.55462378E+001 6.57854744E+000 1.46121548E+000 -2.05635404E+001        -6.65331537E-001        1.84281829E+000 -9.39930611E+000        3.69957765E-001 1.22879859E+000 -2.73001552E+000        -1.31828415E+000        2.41973450E+000 2.13602334E+001 4.37411746E-001
0.3500  5.12216008E+003 2.81676141E+003 -6.66872613E+001        8.14778630E+004 -8.77296137E+004        1.23850704E+004 1.07831234E+001 1.21080295E+001 -2.94377883E+000        -5.68652143E+000        -1.39007179E+001        1.44295578E+001 5.88379585E+000 1.60626675E+001 1.56236893E+000 2.80493729E+000 3.33460105E+000 2.07628379E+001 8.82573176E+000 2.07588579E+000 -2.75576192E+001        -1.06771220E+000        2.57646292E+000 -1.25564934E+001        5.61254306E-001 1.49303433E+000 -3.68345293E+000        -1.72913010E+000        3.42299313E+000 2.86040052E+001 5.94666005E-001
0.4000  6.58039234E+003 3.47659832E+003 -1.80493633E+002        1.00925410E+005 -1.12792091E+005        1.55476560E+004 1.43589775E+001 1.51076481E+001 -3.59809595E+000        -6.82715966E+000        -1.77876273E+001        1.59252295E+001 5.89786170E+000 1.92026459E+001 2.17025381E+000 3.61639323E+000 3.78764521E+000 2.53047081E+001 1.04740975E+001 1.69959838E+000 -3.38455398E+001        -1.63129086E+000        3.05766473E+000 -1.50009704E+001        -2.00155184E-002        2.38589345E+000 -5.25337807E+000        -1.32767512E+000        4.24259900E+000 3.47750919E+001 8.65397803E-001
0.4500  8.16608633E+003 4.58132710E+003 -2.79154055E+002        1.32026753E+005 -1.38482185E+005        1.95087532E+004 1.69564261E+001 2.06349639E+001 -4.63259754E+000        -8.72694882E+000        -1.93389077E+001        1.99693569E+001 8.97827180E+000 2.21137565E+001 2.17218863E+000 4.33370315E+000 5.43200869E+000 3.18562264E+001 1.29533874E+001 2.69884310E+000 -4.27570975E+001        -2.16569495E+000        4.03851704E+000 -1.92164956E+001        4.19859985E-001 2.26187587E+000 -6.33981624E+000        -1.97767261E+000        5.47102626E+000 4.44630340E+001 1.02825214E+000
0.5000  9.78451422E+003 5.63409427E+003 -4.20788100E+002        1.61909888E+005 -1.64874724E+005        2.34455573E+004 2.00474052E+001 2.61751329E+001 -5.53994483E+000        -1.03362990E+001        -2.08669079E+001        2.19759849E+001 1.07576347E+001 2.38156226E+001 2.30879644E+000 5.10749726E+000 6.71184011E+000 3.76378810E+001 1.47896280E+001 2.94305408E+000 -5.08742448E+001        -2.91402132E+000        4.85541085E+000 -2.27698091E+001        2.61732773E-001 2.53834443E+000 -7.86777041E+000        -1.88632742E+000        6.70694432E+000 5.32037370E+001 1.29719130E+000
0.5500  1.14333101E+004 6.64145975E+003 -6.37530148E+002        1.90889171E+005 -1.92143645E+005        2.72910543E+004 2.40680567E+001 3.18803874E+001 -6.40632623E+000        -1.15269848E+001        -2.30889453E+001        2.04553715E+001 9.82725061E+000 2.38679274E+001 2.81713697E+000 5.97757316E+000 7.11215274E+000 4.24949184E+001 1.54580014E+001 1.80178021E+000 -5.80274537E+001        -3.77197845E+000        5.25886804E+000 -2.55649105E+001        -9.29746542E-001        3.51301053E+000 -1.01386932E+001        -7.36136537E-001        7.50173880E+000 6.08787329E+001 1.67131170E+000
0.6000  1.30525945E+004 8.31615460E+003 -7.77513323E+002        2.36949705E+005 -2.16083658E+005        3.20449143E+004 2.55711533E+001 4.14826035E+001 -7.72647119E+000        -1.38787074E+001        -2.02213038E+001        2.38069237E+001 1.48794413E+001 2.31075304E+001 2.03345553E+000 6.53947199E+000 9.74630945E+000 5.02080868E+001 1.75112326E+001 3.46203060E+000 -6.88695586E+001        -4.48682352E+000        6.63521149E+000 -3.11026331E+001        -1.31570627E-002        2.38478258E+000 -1.11970807E+001        -1.66588492E+000        9.10590293E+000 7.38771999E+001 1.81571609E+000
0.6500  1.45773451E+004 9.68594710E+003 -1.01603355E+003        2.75397833E+005 -2.39922423E+005        3.62175018E+004 2.87652081E+001 5.00220550E+001 -8.74147821E+000        -1.52124904E+001        -1.92382219E+001        2.07132106E+001 1.45426063E+001 1.98321427E+001 2.03745868E+000 7.26168334E+000 1.05410295E+001 5.53995530E+001 1.73847757E+001 2.50202869E+000 -7.67851310E+001        -5.37049570E+000        7.19671564E+000 -3.45418771E+001        -1.04281329E+000        2.72444057E+000 -1.35313306E+001        -5.45730391E-001        9.90376465E+000 8.33638002E+001 2.17499291E+000
0.7000  1.60409756E+004 1.11098724E+004 -1.26390976E+003        3.15328647E+005 -2.62415268E+005        4.03837781E+004 3.18992257E+001 5.93752164E+001 -9.70198655E+000        -1.63578425E+001        -1.69596849E+001        1.56707871E+001 1.35858632E+001 1.44757034E+001 1.94968632E+000 7.94117137E+000 1.12487165E+001 5.99454309E+001 1.65320643E+001 1.06795184E+000 -8.40945867E+001        -6.46777935E+000        7.67002627E+000 -3.75912323E+001        -2.44568911E+000        3.16433853E+000 -1.61394405E+001        1.15622130E+000 1.08066914E+001 9.24361035E+001 2.59706357E+000
0.7500  1.74518276E+004 1.33276017E+004 -1.44620669E+003        3.75334111E+005 -2.80618497E+005        4.54507560E+004 3.19795111E+001 7.32867246E+001 -1.12834732E+001        -1.89245470E+001        -8.80268336E+000        1.65788138E+001 1.97225524E+001 8.42343062E+000 2.99057505E-001 8.20024605E+000 1.45715981E+001 6.79656037E+001 1.72802550E+001 3.16238464E+000 -9.58369949E+001        -7.17052999E+000        9.27857043E+000 -4.40194027E+001        -1.14067571E+000        8.34914923E-001 -1.71619623E+001        -8.57933979E-003        1.22449167E+001 1.07877817E+002 2.64527924E+000
0.8000  1.86833433E+004 1.48318241E+004 -1.74289164E+003        4.17423325E+005 -2.99396256E+005        4.94103878E+004 3.51553986E+001 8.40528416E+001 -1.22177442E+001        -1.96457866E+001        -4.66867421E+000        7.13246024E+000 1.67065487E+001 -8.97730906E-001        1.41607512E-001 8.78739393E+000 1.47373886E+001 7.11527541E+001 1.46788090E+001 7.06976919E-001 -1.01781037E+002        -8.36019004E+000        9.37850419E+000 -4.62760813E+001        -3.25328599E+000        1.39844833E+000 -2.03491051E+001        2.58557259E+000 1.26673845E+001 1.15950536E+002 3.15052323E+000
0.8500  1.98549466E+004 1.65724228E+004 -2.00040769E+003        4.65263064E+005 -3.15803395E+005        5.35229299E+004 3.70300018E+001 9.63852395E+001 -1.32292603E+001        -2.07535659E+001        2.55102758E+000 -6.23589959E-001        1.64675577E+001 -1.13222902E+001        -7.12131430E-001        9.16351341E+000 1.60183195E+001 7.49593394E+001 1.24738646E+001 -5.09859443E-001        -1.08601165E+002        -9.64167111E+000        9.99284826E+000 -4.92869827E+001        -4.44913919E+000        9.51077845E-001 -2.29121244E+001        4.42215647E+000 1.36178740E+001 1.25481288E+002 3.54450648E+000
0.9000  2.09793770E+004 1.91117073E+004 -2.20907652E+003        5.33371402E+005 -3.28277403E+005        5.85272709E+004 3.59531425E+001 1.13156200E+002 -1.49835708E+001        -2.33197698E+001        1.50740372E+001 -2.10360578E+000        2.32334750E+001 -2.18472805E+001        -3.08333212E+000        9.12090242E+000 1.98202647E+001 8.24795497E+001 1.19530984E+001 1.93554655E+000 -1.20098236E+002        -1.03122560E+001        1.15951547E+001 -5.58337753E+001        -2.80155662E+000        -2.36835127E+000        -2.39617023E+001        3.07331731E+000 1.47182188E+001 1.41559603E+002 3.52058365E+000
0.9500  2.19410148E+004 2.03481369E+004 -2.53909943E+003        5.68371787E+005 -3.43916005E+005        6.16205446E+004 3.96865011E+001 1.23414467E+002 -1.55235749E+001        -2.30989803E+001        2.04864084E+001 -1.72023298E+001        1.70609367E+001 -3.52391068E+001        -3.08112902E+000        9.63646213E+000 1.91315817E+001 8.25189374E+001 7.27710928E+000 -2.24197875E+000        -1.22401515E+002        -1.19918536E+001        1.12301882E+001 -5.56888999E+001        -6.19755261E+000        -1.02879577E+000        -2.79375787E+001        7.44221193E+000 1.49927403E+001 1.45397555E+002 4.21244851E+000
1.0000  2.28389877E+004 2.23018540E+004 -2.77841631E+003        6.21306183E+005 -3.55483682E+005        6.55931652E+004 4.00847486E+001 1.37424079E+002 -1.66660190E+001        -2.44200773E+001        3.15887760E+001 -2.42715946E+001        1.93008450E+001 -4.78493705E+001        -4.78353602E+000        9.70200880E+000 2.14559655E+001 8.62382974E+001 4.92724159E+000 -2.12824854E+000        -1.29262692E+002        -1.32048888E+001        1.20843305E+001 -5.89799756E+001        -6.32853246E+000        -2.75124521E+000        -3.00630704E+001        8.35905728E+000 1.59512952E+001 1.55411573E+002 4.50692906E+000
1.0500  2.37856872E+004 2.46219950E+004 -3.04088766E+003        6.83344034E+005 -3.66456294E+005        6.98343054E+004 3.92490124E+001 1.53229513E+002 -1.82691370E+001        -2.65194398E+001        4.44793653E+001 -2.77744111E+001        2.48980386E+001 -5.95595876E+001        -7.14990730E+000        9.55892724E+000 2.49506553E+001 9.20156711E+001 3.55072015E+000 -7.29179658E-002        -1.38623038E+002        -1.39214433E+001        1.34305779E+001 -6.41404419E+001        -4.91545601E+000        -6.01197823E+000        -3.13598189E+001        7.33684286E+000 1.65822455E+001 1.68653813E+002 4.49913262E+000
1.1000  2.46000736E+004 2.53009680E+004 -3.35346106E+003        7.03686734E+005 -3.82185606E+005        7.18252252E+004 4.36311665E+001 1.60393405E+002 -1.82659405E+001        -2.54481776E+001        4.92522909E+001 -4.44482438E+001        1.74143693E+001 -7.30716635E+001        -6.88110576E+000        1.00973260E+001 2.38865124E+001 8.91637245E+001 -1.51938766E+000        -5.14193992E+000        -1.37236736E+002        -1.61992137E+001        1.27862780E+001 -6.13839810E+001        -9.03722388E+000        -3.72609853E+000        -3.57638628E+001        1.29453657E+001 1.73492191E+001 1.67202427E+002 5.41658702E+000
1.1500  2.54025148E+004 2.72147176E+004 -3.64554754E+003        7.55020758E+005 -3.93250962E+005        7.53687962E+004 4.34373909E+001 1.73589786E+002 -1.96238245E+001        -2.70710911E+001        6.03503684E+001 -4.83151792E+001        2.18114379E+001 -8.34973605E+001        -8.92810889E+000        1.00095118E+001 2.68725262E+001 9.34160199E+001 -2.97519189E+000        -3.46755249E+000        -1.44496845E+002        -1.69282243E+001        1.37696268E+001 -6.50684754E+001        -7.87866252E+000        -6.45623195E+000        -3.72951815E+001        1.22254498E+001 1.77057158E+001 1.77180329E+002 5.52501486E+000
1.2000  2.62102663E+004 2.87647974E+004 -3.90974274E+003        7.96660925E+005 -4.05290920E+005        7.83804623E+004 4.33904054E+001 1.84430153E+002 -2.05853275E+001        -2.83627808E+001        7.08183591E+001 -5.11709410E+001        2.66276724E+001 -9.26162554E+001        -1.08886274E+001        9.95063191E+000 2.99961871E+001 9.64375109E+001 -3.90786217E+000        -1.80953874E+000        -1.50068715E+002        -1.80636054E+001        1.48287240E+001 -6.75121538E+001        -6.82153616E+000        -8.75313546E+000        -3.87198231E+001        1.19152679E+001 1.87861656E+001 1.84473227E+002 5.74308217E+000
1.2500  2.70901409E+004 2.88129594E+004 -4.29679581E+003        8.00546427E+005 -4.25247576E+005        7.91477981E+004 4.91839147E+001 1.87074326E+002 -2.03506724E+001        -2.67062809E+001        7.10762435E+001 -6.68619341E+001        1.75128287E+001 -1.02050390E+002        -9.83209538E+000        1.06822556E+001 2.81164951E+001 9.21739102E+001 -8.33539590E+000        -7.59057763E+000        -1.46430761E+002        -2.03471622E+001        1.37505881E+001 -6.30732694E+001        -1.14416300E+001        -5.33886968E+000        -4.34021722E+001        1.78643131E+001 1.92150815E+001 1.78867752E+002 6.75105751E+000
1.3000  2.77948790E+004 3.03800004E+004 -4.59666360E+003        8.42074445E+005 -4.36220129E+005        8.21146938E+004 4.80798591E+001 1.96927286E+002 -2.16077556E+001        -2.86690083E+001        8.09105095E+001 -6.37672873E+001        2.59183504E+001 -1.07005561E+002        -1.22088999E+001        1.05052971E+001 3.22123364E+001 9.69529614E+001 -7.40416815E+000        -3.57006979E+000        -1.53739984E+002        -2.07594644E+001        1.50684579E+001 -6.68865745E+001        -8.50005489E+000        -8.92486709E+000        -4.37543464E+001        1.51623475E+001 1.98713832E+001 1.87791405E+002 6.76570940E+000
1.3500  2.85337513E+004 3.09565255E+004 -4.93757006E+003        8.58397664E+005 -4.51466407E+005        8.36124993E+004 4.99646849E+001 2.01094673E+002 -2.20105467E+001        -2.89500656E+001        8.49625556E+001 -6.63068994E+001        2.75366469E+001 -1.11070062E+002        -1.29595226E+001        1.07662595E+001 3.38083507E+001 9.74190500E+001 -7.80783775E+000        -3.37337006E+000        -1.55465580E+002        -2.19936972E+001        1.53299981E+001 -6.65833455E+001        -8.53312766E+000        -9.27983111E+000        -4.56025991E+001        1.58995738E+001 2.07274523E+001 1.88769213E+002 7.24815701E+000
1.4000  2.94158435E+004 3.04211979E+004 -5.39283257E+003        8.46804110E+005 -4.73568752E+005        8.32507199E+004 5.62383702E+001 1.98957431E+002 -2.16218993E+001        -2.71054983E+001        8.05397697E+001 -7.75424886E+001        1.88966483E+001 -1.14311719E+002        -1.13209663E+001        1.16466368E+001 3.16068294E+001 9.29958936E+001 -1.04539580E+001        -8.76263555E+000        -1.50869528E+002        -2.39699595E+001        1.40285124E+001 -6.15775456E+001        -1.28019222E+001        -5.27252399E+000        -4.97645093E+001        2.11259739E+001 2.09966179E+001 1.80758068E+002 8.26179666E+000
1.4500  2.98903622E+004 3.15878732E+004 -5.69014991E+003        8.77226982E+005 -4.81877737E+005        8.57123034E+004 5.40610778E+001 2.05044250E+002 -2.27377498E+001        -2.93813264E+001        8.82719973E+001 -6.73397812E+001        3.07718945E+001 -1.13266142E+002        -1.38383588E+001        1.14328245E+001 3.64311754E+001 9.84370960E+001 -7.08517249E+000        -2.67102036E+000        -1.58244524E+002        -2.39528919E+001        1.54570029E+001 -6.57504662E+001        -8.28603210E+000        -9.41094576E+000        -4.87381422E+001        1.66091998E+001 2.20376095E+001 1.89018716E+002 8.22947015E+000
1.5000  3.05087738E+004 3.12550145E+004 -6.16215920E+003        8.70133760E+005 -4.98634046E+005        8.55180479E+004 5.81372466E+001 2.02934106E+002 -2.27785458E+001        -2.85766629E+001        8.42772956E+001 -7.09523375E+001        2.71856590E+001 -1.12267107E+002        -1.29332773E+001        1.20848177E+001 3.55588339E+001 9.68538552E+001 -7.49100784E+000        -4.88294424E+000        -1.56632095E+002        -2.48698179E+001        1.45387790E+001 -6.33254974E+001        -1.00161153E+001        -7.37309003E+000        -5.11106678E+001        1.86121128E+001 2.18915885E+001 1.84885681E+002 8.92712399E+000
1.5500  3.10449127E+004 3.04416337E+004 -6.57770730E+003        8.50650440E+005 -5.14968115E+005        8.46232831E+004 6.27481123E+001 1.97991953E+002 -2.22983469E+001        -2.70946384E+001        7.85998209E+001 -7.54053621E+001        2.20979705E+001 -1.10547838E+002        -1.15021441E+001        1.28853855E+001 3.40404869E+001 9.33864276E+001 -7.87219090E+000        -8.39235296E+000        -1.52473022E+002        -2.63944961E+001        1.33180083E+001 -5.92099397E+001        -1.28277351E+001        -3.92227921E+000        -5.36648810E+001        2.21598315E+001 2.27092218E+001 1.77360354E+002 9.88426031E+000
1.6000  3.11649657E+004 3.13455204E+004 -6.93947141E+003        8.73884589E+005 -5.17577541E+005        8.64470026E+004 6.00876760E+001 2.01602429E+002 -2.35398122E+001        -2.94259970E+001        8.28008250E+001 -6.24246864E+001        3.34800982E+001 -1.05452809E+002        -1.35694631E+001        1.26834549E+001 3.80405198E+001 9.95123873E+001 -3.75457265E+000        -1.98210253E+000        -1.59977180E+002        -2.54220114E+001        1.42081410E+001 -6.41423359E+001        -7.90822965E+000        -7.99044893E+000        -5.17439396E+001        1.65569531E+001 2.27683067E+001 1.86023956E+002 9.73439007E+000
1.6500  3.13091413E+004 3.03928847E+004 -7.39261347E+003        8.50713332E+005 -5.27659116E+005        8.49724504E+004 6.44256606E+001 1.95569426E+002 -2.31862257E+001        -2.78018582E+001        7.47787106E+001 -6.69574237E+001        2.66391172E+001 -1.02414050E+002        -1.16968359E+001        1.35003583E+001 3.54169811E+001 9.61688798E+001 -4.37840497E+000        -5.95999554E+000        -1.55537448E+002        -2.61696950E+001        1.23023151E+001 -6.04569276E+001        -1.08845271E+001        -4.27155135E+000        -5.39018430E+001        1.97432025E+001 2.25130158E+001 1.78810696E+002 1.06416635E+001
1.7000  3.12496808E+004 2.97174280E+004 -7.77101500E+003        8.33963462E+005 -5.31981491E+005        8.38474543E+004 6.65420733E+001 1.90868749E+002 -2.29978691E+001        -2.69474066E+001        6.95725835E+001 -6.70539590E+001        2.40415615E+001 -9.87002987E+001        -1.06733332E+001        1.40293301E+001 3.41733197E+001 9.45186485E+001 -3.82261607E+000        -7.73091740E+000        -1.53042935E+002        -2.65932229E+001        1.10073059E+001 -5.85884738E+001        -1.21958863E+001        -2.09287582E+000        -5.46004104E+001        2.11844710E+001 2.27578007E+001 1.74684675E+002 1.13234049E+001
1.7500  3.06852470E+004 3.05973716E+004 -8.06702064E+003        8.56455860E+005 -5.22191918E+005        8.53236600E+004 6.25936081E+001 1.94404790E+002 -2.43853269E+001        -2.92122557E+001        7.29958859E+001 -5.46300458E+001        3.38882122E+001 -9.38353930E+001        -1.25118006E+001        1.37084878E+001 3.70824258E+001 1.00793340E+002 -3.46884233E-001        -1.70503054E+000        -1.60287827E+002        -2.47741063E+001        1.10897070E+001 -6.44001501E+001        -7.39394388E+000        -6.09757846E+000        -5.18906834E+001        1.53102757E+001 2.19958136E+001 1.84628866E+002 1.11037906E+001
1.8000  3.01966102E+004 2.93249563E+004 -8.42680394E+003        8.24527857E+005 -5.20718037E+005        8.26483736E+004 6.61749145E+001 1.86965771E+002 -2.37212303E+001        -2.69136685E+001        6.39288043E+001 -6.20795994E+001        2.38391239E+001 -9.21945157E+001        -1.00709369E+001        1.44593547E+001 3.28666992E+001 9.57411878E+001 -2.21534906E+000        -7.48273301E+000        -1.53326477E+002        -2.52910402E+001        8.41573659E+000 -6.00564930E+001        -1.15972970E+001        -1.32293989E+000        -5.34474288E+001        1.97105833E+001 2.15061591E+001 1.75841817E+002 1.20569351E+001
1.8500  2.92356655E+004 2.92907126E+004 -8.65574235E+003        8.23728133E+005 -5.06498477E+005        8.20793002E+004 6.46077789E+001 1.86303816E+002 -2.42020174E+001        -2.70516033E+001        6.27386924E+001 -5.99591340E+001        2.39275428E+001 -9.05649950E+001        -1.00272165E+001        1.44758474E+001 3.21091043E+001 9.66047272E+001 -1.92443704E+000        -7.10419477E+000        -1.53692940E+002        -2.42469379E+001        6.92884116E+000 -6.16084957E+001        -1.10215764E+001        -1.43489961E+000        -5.22044755E+001        1.86181380E+001 2.06435235E+001 1.77931109E+002 1.23231550E+001
1.9000  2.79085874E+004 3.00700373E+004 -8.78830313E+003        8.43194024E+005 -4.82609253E+005        8.27893101E+004 5.95468226E+001 1.90211786E+002 -2.54191279E+001        -2.87553116E+001        6.69137178E+001 -5.21677762E+001        3.02751466E+001 -8.94229899E+001        -1.15707695E+001        1.39547805E+001 3.34848435E+001 1.01178640E+002 -5.46019311E-001        -2.75021260E+000        -1.58654467E+002        -2.20755726E+001        6.21786871E+000 -6.70136674E+001        -7.34597631E+000        -4.86732959E+000        -4.89911565E+001        1.38990290E+001 1.93344996E+001 1.87126767E+002 1.20746562E+001
1.9500  2.67660212E+004 2.90822950E+004 -8.97899489E+003        8.18353008E+005 -4.67880456E+005        7.99312791E+004 6.13947498E+001 1.85560324E+002 -2.49112627E+001        -2.64176779E+001        6.07849981E+001 -6.32439457E+001        1.87030038E+001 -9.25922844E+001        -9.32723751E+000        1.44358834E+001 2.85758754E+001 9.57636379E+001 -4.19086913E+000        -9.34913773E+000        -1.51284266E+002        -2.22220264E+001        3.01837130E+000 -6.34720712E+001        -1.20088148E+001        -3.42342022E-001        -4.98736042E+001        1.87450452E+001 1.84150728E+001 1.80163256E+002 1.29216697E+001
2.0000  2.51047202E+004 2.98938744E+004 -9.03919492E+003        8.39022721E+005 -4.38679795E+005        8.04082677E+004 5.68005522E+001 1.90814246E+002 -2.60959552E+001        -2.75241705E+001        6.53744142E+001 -6.19601361E+001        2.06234208E+001 -9.60522191E+001        -1.04049380E+001        1.39433976E+001 2.84393464E+001 9.86932594E+001 -5.17272059E+000        -7.37698324E+000        -1.54440906E+002        -2.01620237E+001        1.49186429E+000 -6.80368265E+001        -1.00413330E+001        -2.71669119E+000        -4.73061284E+001        1.59191692E+001 1.65953052E+001 1.88387550E+002 1.28288403E+001
2.0500  2.32849439E+004 3.08637684E+004 -8.99354412E+003        8.63575108E+005 -4.05770909E+005        8.11086975E+004 5.12341115E+001 1.97457037E+002 -2.72557404E+001        -2.87897004E+001        7.26123854E+001 -6.09948797E+001        2.36347441E+001 -1.01611569E+002        -1.19382016E+001        1.32873223E+001 2.88198129E+001 1.01524157E+002 -6.44072477E+000        -4.98413039E+000        -1.57619911E+002        -1.82756509E+001        1.31271952E-001 -7.28594870E+001        -7.80144493E+000        -5.60371392E+000        -4.42972773E+001        1.30824436E+001 1.52867198E+001 1.97333019E+002 1.27031190E+001
2.1000  2.17476866E+004 3.05410185E+004 -9.06234699E+003        8.55907438E+005 -3.82317721E+005        7.88387206E+004 5.17700912E+001 1.98085063E+002 -2.72868335E+001        -2.68385220E+001        7.09233659E+001 -7.66685518E+001        1.09850932E+001 -1.11179839E+002        -1.02106298E+001        1.34788378E+001 2.37220777E+001 9.66765375E+001 -1.22239140E+001        -1.19783596E+001        -1.51393651E+002        -1.80386331E+001        -3.39573777E+000        -7.07961123E+001        -1.25919363E+001        -2.02243088E+000        -4.48814596E+001        1.79461874E+001 1.34884693E+001 1.93926576E+002 1.33660535E+001
2.1500  1.95408233E+004 3.20960231E+004 -8.87834213E+003        8.95412128E+005 -3.41791395E+005        8.04632632E+004 4.45408727E+001 2.08964014E+002 -2.89028398E+001        -2.87622074E+001        8.27285884E+001 -7.69552487E+001        1.53189580E+001 -1.20913834E+002        -1.26071839E+001        1.24794229E+001 2.47821930E+001 1.00480384E+002 -1.45120507E+001        -8.46048484E+000        -1.56120194E+002        -1.57456372E+001        -4.70304138E+000        -7.71453424E+001        -9.42145696E+000        -6.47327603E+000        -4.12745214E+001        1.41615742E+001 1.16949929E+001 2.06205943E+002 1.30561682E+001
2.2000  1.74357662E+004 3.32501508E+004 -8.69485231E+003        9.24986932E+005 -3.04482639E+005        8.10542326E+004 3.94781255E+001 2.18356551E+002 -3.01412587E+001        -2.95210090E+001        9.21743318E+001 -8.43166654E+001        1.37671623E+001 -1.33366545E+002        -1.39024724E+001        1.17449666E+001 2.38935951E+001 1.01260646E+002 -1.88081484E+001        -8.52704194E+000        -1.57255196E+002        -1.41730845E+001        -6.82210193E+000        -8.09021218E+001        -8.94023614E+000        -8.63717227E+000        -3.89980174E+001        1.33943550E+001 9.76270759E+000 2.13975954E+002 1.30139037E+001
2.2500  1.51876084E+004 3.36184923E+004 -8.51696950E+003        9.35369396E+005 -2.69549986E+005        8.11261644E+004 3.80978372E+001 2.24922694E+002 -3.02548417E+001        -2.83929197E+001        9.87024306E+001 -1.05160247E+002        1.84376067E+000 -1.51814472E+002        -1.34720884E+001        1.14912618E+001 1.96976167E+001 9.56385387E+001 -2.69531510E+001        -1.47073857E+001        -1.50989736E+002        -1.42092286E+001        -1.03677395E+001        -7.90050580E+001        -1.30469581E+001        -6.79380800E+000        -3.92185637E+001        1.82739344E+001 7.76003066E+000 2.12113095E+002 1.38309416E+001
2.3000  1.30953955E+004 3.56502529E+004 -8.17667292E+003        9.86370594E+005 -2.28469102E+005        8.20305641E+004 2.97613273E+001 2.39393379E+002 -3.24943551E+001        -3.05870509E+001        1.14907646E+002 -1.06480040E+002        7.85685259E+000 -1.65369963E+002        -1.66356197E+001        1.00905643E+001 2.17703914E+001 9.99739456E+001 -3.00034503E+001        -1.04339993E+001        -1.56630786E+002        -1.18907703E+001        -1.13331445E+001        -8.64799663E+001        -9.30602900E+000        -1.26303779E+001        -3.50182537E+001        1.38784775E+001 5.95845976E+000 2.26549057E+002 1.30025558E+001
2.3500  1.05598611E+004 3.69114519E+004 -7.82756269E+003        1.01938390E+006 -1.87240468E+005        8.38699846E+004 2.56220567E+001 2.51481315E+002 -3.34252647E+001        -3.10265634E+001        1.28137745E+002 -1.24058906E+002        1.57694478E+000 -1.86502150E+002        -1.79498015E+001        9.26766211E+000 1.99179940E+001 9.71695074E+001 -3.78401963E+001        -1.27998029E+001        -1.54229575E+002        -1.11847333E+001        -1.41763868E+001        -8.75437972E+001        -1.04760234E+001        -1.41917019E+001        -3.38824104E+001        1.56161985E+001 3.43416997E+000 2.30426983E+002 1.33803509E+001
2.4000  8.74463252E+003 3.75465012E+004 -7.48194738E+003        1.03545508E+006 -1.57193096E+005        8.26688248E+004 2.33311676E+001 2.59488958E+002 -3.40708054E+001        -3.02294194E+001        1.37109185E+002 -1.41692578E+002        -6.67474857E+000        -2.04719249E+002        -1.82030040E+001        8.71301975E+000 1.72804418E+001 9.28234168E+001 -4.50370526E+001        -1.73571520E+001        -1.49485454E+002        -1.11768818E+001        -1.69055644E+001        -8.69452917E+001        -1.34090739E+001        -1.37783402E+001        -3.32052023E+001        1.91035128E+001 1.88545649E+000 2.30471955E+002 1.35718881E+001
2.4500  6.81429725E+003 3.97076368E+004 -6.96246574E+003        1.09000966E+006 -1.20633846E+005        8.43396943E+004 1.58011163E+001 2.74888918E+002 -3.64907451E+001        -3.27087212E+001        1.53561237E+002 -1.44389170E+002        -1.22218605E+000        -2.19194898E+002        -2.13691528E+001        7.29386088E+000 1.95125595E+001 9.71052410E+001 -4.84988049E+001        -1.30208478E+001        -1.55315968E+002        -9.00230562E+000        -1.77952146E+001        -9.41683723E+001        -9.64737931E+000        -1.97711042E+001        -2.93607739E+001        1.47844083E+001 -1.97385252E-001        2.44601027E+002 1.26996804E+001
2.5000  5.00611207E+003 4.05066853E+004 -6.60406490E+003        1.11056604E+006 -9.29939787E+004        8.37035988E+004 1.37537979E+001 2.83740837E+002 -3.73209935E+001        -3.23976222E+001        1.63024041E+002 -1.61339601E+002        -8.56335091E+000        -2.37236093E+002        -2.18632447E+001        6.70066659E+000 1.74326557E+001 9.33845536E+001 -5.54588314E+001        -1.66314345E+001        -1.51522585E+002        -8.88509006E+000        -2.03041081E+001        -9.38500297E+001        -1.18426264E+001        -2.00210133E+001        -2.86964253E+001        1.74712721E+001 -2.12095286E+000        2.45241710E+002 1.28679190E+001
2.5500  3.50771473E+003 4.13000092E+004 -6.09484847E+003        1.13070553E+006 -7.00381268E+004        8.35002578E+004 1.17639614E+001 2.91952045E+002 -3.82131841E+001        -3.23998815E+001        1.71736450E+002 -1.75316990E+002        -1.41667395E+001        -2.52845962E+002        -2.24454785E+001        6.11789269E+000 1.59729860E+001 9.06028800E+001 -6.13104701E+001        -1.92706458E+001        -1.48767654E+002        -8.73764886E+000        -2.23770382E+001        -9.40254832E+001        -1.33937812E+001        -2.06250343E+001        -2.77926161E+001        1.94356331E+001 -3.71289492E+000        2.46514155E+002 1.28971094E+001
2.6000  1.73068613E+003 4.32747855E+004 -5.35419693E+003        1.18121883E+006 -4.04715912E+004        8.68110093E+004 5.56867089E+000 3.05987957E+002 -4.02423019E+001        -3.51847505E+001        1.87252485E+002 -1.77681852E+002        -8.53125298E+000        -2.66129673E+002        -2.54785082E+001        4.90001409E+000 1.86176721E+001 9.41160442E+001 -6.41250879E+001        -1.47031092E+001        -1.53918939E+002        -7.32429128E+000        -2.30441294E+001        -9.97537916E+001        -9.61140438E+000        -2.60944698E+001        -2.45892184E+001        1.57069646E+001 -5.06743777E+000        2.58059935E+002 1.24097669E+001
2.6500  7.88500344E+002 4.34289312E+004 -4.84300945E+003        1.18493290E+006 -2.96332614E+004        8.54612883E+004 6.23813214E+000 3.09798185E+002 -4.06751473E+001        -3.44091255E+001        1.90517557E+002 -1.92072438E+002        -1.68690772E+001        -2.78004409E+002        -2.49238646E+001        4.73439619E+000 1.61661385E+001 8.98370621E+001 -6.93632384E+001        -1.90515034E+001        -1.49086256E+002        -7.67263107E+000        -2.51840784E+001        -9.77611936E+001        -1.25014750E+001        -2.48692924E+001        -2.46387507E+001        1.89830856E+001 -6.52701894E+000        2.54878000E+002 1.25838220E+001
2.7000  -1.26958594E+002        4.42381808E+004 -4.19470311E+003        1.20567351E+006 -1.84305349E+004        8.63053284E+004 4.98847889E+000 3.16481589E+002 -4.18051022E+001        -3.53060390E+001        1.96432501E+002 -1.98902994E+002        -1.86999858E+001        -2.87120137E+002        -2.55822430E+001        4.30314136E+000 1.60727627E+001 8.96442131E+001 -7.23727173E+001        -1.92758791E+001        -1.49330069E+002        -7.32676789E+000        -2.64428559E+001        -9.90999700E+001        -1.23724855E+001        -2.61956467E+001        -2.35541635E+001        1.89697937E+001 -7.78351358E+000        2.57794417E+002 1.24742759E+001
2.7500  -1.05649126E+003        4.55569072E+004 -3.37430810E+003        1.23945656E+006 -6.17588075E+003        8.92098641E+004 1.55577095E+000 3.25175651E+002 -4.33562217E+001        -3.78040443E+001        2.05477156E+002 -1.97460597E+002        -1.33131667E+001        -2.93274300E+002        -2.75768326E+001        3.56989987E+000 1.86380274E+001 9.29521033E+001 -7.29115714E+001        -1.50969166E+001        -1.53872701E+002        -6.53303502E+000        -2.65878023E+001        -1.03256894E+002        -9.08010835E+000        -3.00798299E+001        -2.10262017E+001        1.57815009E+001 -8.20789799E+000        2.65777955E+002 1.21231021E+001
2.8000  -1.28829480E+003        4.52653777E+004 -2.83344467E+003        1.23211124E+006 -1.04977360E+004        8.83125223E+004 4.70502583E+000 3.24805629E+002 -4.35051148E+001        -3.70664795E+001        2.02539027E+002 -2.07822191E+002        -2.16806178E+001        -2.98126570E+002        -2.61361214E+001        3.89185878E+000 1.60958129E+001 8.93978423E+001 -7.59034715E+001        -1.93277298E+001        -1.49688977E+002        -7.10100346E+000        -2.84041702E+001        -1.00485128E+002        -1.20229906E+001        -2.77571839E+001        -2.18634783E+001        1.89334544E+001 -9.39045777E+000        2.60740743E+002 1.24841781E+001
2.8500  -1.69164349E+003        4.63529632E+004 -2.33473335E+003        1.25923237E+006 -6.66979734E+003        8.87185586E+004 3.22839093E+000 3.33983895E+002 -4.49706563E+001        -3.83013752E+001        2.14422553E+002 -2.15943192E+002        -2.04507377E+001        -3.11348183E+002        -2.79532428E+001        2.99188583E+000 1.80634234E+001 8.79993615E+001 -7.93784188E+001        -1.82155595E+001        -1.49070785E+002        -7.63500499E+000        -2.88982394E+001        -1.00850151E+002        -1.09406215E+001        -3.09203417E+001        -2.05714931E+001        1.83796115E+001 -1.04462526E+001        2.61726597E+002 1.19760466E+001
2.9000  -1.36317741E+003        4.64279461E+004 -1.28662888E+003        1.26203482E+006 -1.96252677E+004        9.15803148E+004 4.04439484E+000 3.30455175E+002 -4.57533491E+001        -4.07133396E+001        2.03811681E+002 -1.99266602E+002        -1.50373943E+001        -2.95079818E+002        -2.71102522E+001        3.61752284E+000 1.91587028E+001 9.57721512E+001 -7.30327837E+001        -1.39089489E+001        -1.57414572E+002        -6.05336474E+000        -2.83318800E+001        -1.06012165E+002        -7.82675996E+000        -3.12331227E+001        -1.85979288E+001        1.41773671E+001 -9.72840799E+000        2.70091524E+002 1.19034922E+001
2.9500  -9.54670174E+002        4.62205680E+004 -1.04662567E+003        1.25607038E+006 -3.27323145E+004        8.93270229E+004 7.93790276E+000 3.31577735E+002 -4.60954863E+001        -3.97128759E+001        2.04538410E+002 -2.13545202E+002        -2.33468483E+001        -3.04092377E+002        -2.61545301E+001        3.64717179E+000 1.74128049E+001 9.02486097E+001 -7.72089899E+001        -1.86250121E+001        -1.51359933E+002        -7.44466479E+000        -2.97703684E+001        -1.01604366E+002        -1.10985492E+001        -2.97251857E+001        -1.97768730E+001        1.77653741E+001 -1.13578902E+001        2.61943202E+002 1.18820141E+001
3.0000  -5.96322532E+002        4.66614662E+004 -2.46540248E+002        1.26783683E+006 -4.46494566E+004        9.19429017E+004 8.23805387E+000 3.32238741E+002 -4.70578504E+001        -4.20255003E+001        2.01887134E+002 -2.03795207E+002        -1.78824987E+001        -2.96888531E+002        -2.64150670E+001        3.76367430E+000 1.95347354E+001 9.52203137E+001 -7.34812945E+001        -1.46381596E+001        -1.57181759E+002        -6.86049595E+000        -2.91497116E+001        -1.05015713E+002        -8.17820392E+000        -3.13652643E+001        -1.80773311E+001        1.44403802E+001 -1.09004185E+001        2.67615919E+002 1.16789919E+001
3.0500  -4.20997419E+001        4.67799961E+004 4.32061348E+002 1.27162418E+006 -6.08402534E+004        9.43589866E+004 1.01709660E+001 3.30823169E+002 -4.77253415E+001        -4.38004266E+001        1.95718364E+002 -1.95903240E+002        -1.54312653E+001        -2.88385140E+002        -2.58322997E+001        4.19793437E+000 2.04778808E+001 9.92992840E+001 -6.99740344E+001        -1.22471374E+001        -1.61833715E+002        -6.41142427E+000        -2.89541663E+001        -1.07242656E+002        -6.45249924E+000        -3.16582560E+001        -1.72141771E+001        1.22343622E+001 -1.07322870E+001        2.71186910E+002 1.16933112E+001
3.1000  1.16241203E+003 4.56584272E+004 1.24364030E+003 1.24259708E+006 -9.27053969E+004        9.11001410E+004 1.64585145E+001 3.21035770E+002 -4.75157847E+001        -4.31702635E+001        1.76872760E+002 -1.89829644E+002        -2.07554118E+001        -2.72531468E+002        -2.24074219E+001        5.45098753E+000 1.78578418E+001 1.01350868E+002 -6.60522382E+001        -1.49609074E+001        -1.63160811E+002        -5.99204712E+000        -2.89077724E+001        -1.06745763E+002        -8.48286482E+000        -2.75923051E+001        -1.80599472E+001        1.28086064E+001 -1.12574811E+001        2.68888494E+002 1.17303014E+001
3.1500  1.93811482E+003 4.59757523E+004 1.96830093E+003 1.25224078E+006 -1.10156871E+005        9.56662244E+004 1.71813929E+001 3.19043072E+002 -4.83317501E+001        -4.62450989E+001        1.68818248E+002 -1.72331536E+002        -1.30286069E+001        -2.57172369E+002        -2.21762613E+001        5.99270131E+000 2.02471084E+001 1.09597283E+002 -5.92256173E+001        -9.38033933E+000        -1.72470014E+002        -4.84057549E+000        -2.78559732E+001        -1.11971290E+002        -4.49407821E+000        -2.89717807E+001        -1.60114598E+001        8.02010875E+000 -1.01191663E+001        2.77800092E+002 1.16332794E+001
3.2000  3.41394494E+003 4.55046126E+004 2.40023547E+003 1.24126977E+006 -1.38540465E+005        9.70458599E+004 2.13248944E+001 3.12225353E+002 -4.86923363E+001        -4.75586422E+001        1.52704070E+002 -1.59678827E+002        -1.26145783E+001        -2.39237902E+002        -1.99304948E+001        7.05705480E+000 1.95955580E+001 1.15548129E+002 -5.32995100E+001        -8.38825011E+000        -1.78604580E+002        -3.78759370E+000        -2.75022249E+001        -1.14817474E+002        -3.81199778E+000        -2.73263619E+001        -1.53902634E+001        5.76857843E+000 -1.01947848E+001        2.81891445E+002 1.14667706E+001
3.2500  5.41316720E+003 4.44612916E+004 2.67328439E+003 1.21507992E+006 -1.73956164E+005        9.59787305E+004 2.70918439E+001 3.01766944E+002 -4.85980363E+001        -4.77480907E+001        1.31942743E+002 -1.48159019E+002        -1.52990681E+001        -2.18809523E+002        -1.65970091E+001        8.40398751E+000 1.75065008E+001 1.20192068E+002 -4.72750397E+001        -9.79576186E+000        -1.82791558E+002        -2.90762028E+000        -2.72226558E+001        -1.16286813E+002        -4.90011307E+000        -2.39740802E+001        -1.52221427E+001        4.84414973E+000 -1.03967162E+001        2.83058901E+002 1.11611526E+001
3.3000  6.42311854E+003 4.48559786E+004 3.29651239E+003 1.22755246E+006 -1.92408079E+005        1.01316472E+005 2.78738854E+001 2.99292107E+002 -4.94214502E+001        -5.11708016E+001        1.20309094E+002 -1.27217036E+002        -7.40209474E+000        -1.99350651E+002        -1.58786176E+001        9.19210293E+000 1.94431963E+001 1.31045105E+002 -3.91435131E+001        -4.02649656E+000        -1.95008404E+002        -1.07617283E+000        -2.58764816E+001        -1.23416373E+002        -7.68755976E-001        -2.50044300E+001        -1.30564229E+001        -6.56444322E-001        -9.34558457E+000        2.95691101E+002 1.09930593E+001
3.3500  6.93590075E+003 4.48369803E+004 4.03434378E+003 1.22919493E+006 -1.96732722E+005        1.02213385E+005 2.89721943E+001 2.94539822E+002 -4.96188489E+001        -5.23245986E+001        9.87550317E+001 -1.11134239E+002        -9.71548834E+000        -1.78152637E+002        -1.26476371E+001        1.04875333E+001 1.58864408E+001 1.42838389E+002 -3.31315661E+001        -3.88581667E+000        -2.07493186E+002        3.07037627E+000 -2.53442203E+001        -1.32341917E+002        -4.37096130E-001        -2.27077086E+001        -1.15134588E+001        -4.32870116E+000        -1.05743759E+001        3.12432244E+002 1.04694100E+001
3.4000  9.77438237E+003 4.35126224E+004 3.99603725E+003 1.19586934E+006 -2.47844672E+005        1.03146314E+005 3.65852958E+001 2.81528265E+002 -4.93761400E+001        -5.30469877E+001        7.74563187E+001 -9.69907267E+001        -9.84716875E+000        -1.54424868E+002        -9.50305459E+000        1.20073942E+001 1.53158438E+001 1.46598827E+002 -2.53395995E+001        -4.10262056E+000        -2.10834307E+002        2.61027748E+000 -2.48339680E+001        -1.31821467E+002        -9.34495648E-001        -1.93969858E+001        -1.18724287E+001        -5.15633705E+000        -9.74589000E+000        3.09397065E+002 1.04941651E+001
3.4500  1.00406347E+004 4.46043933E+004 5.01374833E+003 1.22739576E+006 -2.45014899E+005        1.07828265E+005 3.38663562E+001 2.82447021E+002 -5.04606405E+001        -5.69107336E+001        6.16112240E+001 -7.06612695E+001        -2.51879504E+000        -1.31473431E+002        -7.77367132E+000        1.31004694E+001 1.52514158E+001 1.64696593E+002 -1.60666860E+001        5.01594286E-001 -2.30879768E+002        6.54163423E+000 -2.30880279E+001        -1.46483706E+002        2.41161658E+000 -1.90296523E+001        -7.83657473E+000        -1.11284086E+001        -7.71605919E+000        3.37042466E+002 9.98515347E+000
3.5000  1.25346258E+004 4.31747300E+004 4.93285456E+003 1.19154808E+006 -2.89598583E+005        1.07920112E+005 4.11989875E+001 2.68467636E+002 -4.98729911E+001        -5.71061560E+001        3.71572838E+001 -5.59252628E+001        -4.57572603E+000        -1.05704757E+002        -4.35060415E+000        1.46016444E+001 1.33460717E+001 1.69330385E+002 -8.67758391E+000        5.81126792E-001 -2.35179173E+002        7.83169132E+000 -2.22938964E+001        -1.46632487E+002        2.37394866E+000 -1.62419224E+001        -8.68566199E+000        -1.35217913E+001        -9.01235079E+000        3.35654405E+002 9.71210670E+000
3.5500  1.39556628E+004 4.28709324E+004 5.37399160E+003 1.18593857E+006 -3.10465698E+005        1.09788695E+005 4.39604750E+001 2.60864479E+002 -4.99523960E+001        -5.88007924E+001        1.43596409E+001 -3.55023400E+001        -3.60389858E+000        -7.97813213E+001        -1.21359030E+000        1.60670322E+001 1.14427108E+001 1.81034336E+002 -3.38034077E-001        1.99190238E+000 -2.47587104E+002        1.07426920E+001 -2.10707569E+001        -1.54241495E+002        3.33709342E+000 -1.38587570E+001        -7.36370699E+000        -1.73319604E+001        -8.89622944E+000        3.49229473E+002 9.31668436E+000
3.6000  1.51163774E+004 4.32048032E+004 6.07849408E+003 1.19739063E+006 -3.25429948E+005        1.13806946E+005 4.40267056E+001 2.56505445E+002 -5.04666591E+001        -6.20217610E+001        -4.45100138E+000        -8.25740625E+000        3.80553916E+000 -5.27909909E+001        6.86658434E-001 1.72532860E+001 1.18467255E+001 1.96318791E+002 9.89300031E+000 7.03211169E+000 -2.64345120E+002        1.40179265E+001 -1.88555183E+001        -1.65078066E+002        6.89970278E+000 -1.35030971E+001        -4.62276064E+000        -2.35197577E+001        -7.47774503E+000        3.68961723E+002 8.75644279E+000
3.6500  1.58839391E+004 4.29387504E+004 6.69487025E+003 1.19292483E+006 -3.31327299E+005        1.14083371E+005 4.60998892E+001 2.49084351E+002 -5.03692267E+001        -6.29080277E+001        -3.31868051E+001        1.00001410E+001 -1.25339940E+000        -2.57725010E+001        5.53332673E+000 1.91707940E+001 6.41668188E+000 2.10410490E+002 1.71678354E+001 4.67736498E+000 -2.78919125E+002        1.82362952E+001 -1.84062875E+001        -1.75746535E+002        5.15556915E+000 -8.36385002E+000        -3.00054561E+000        -2.55712711E+001        -7.60748280E+000        3.88930287E+002 8.36833943E+000
3.7000  1.82715627E+004 4.21574300E+004 6.91941825E+003 1.17429315E+006 -3.69867494E+005        1.15426714E+005 5.04982320E+001 2.37467257E+002 -5.02890857E+001        -6.45736587E+001        -5.73272123E+001        3.51802168E+001 3.19985582E+000 5.31910774E+000 8.28377353E+000 2.05604238E+001 6.22905803E+000 2.21129245E+002 2.75520275E+001 8.29158599E+000 -2.90121149E+002        2.06973717E+001 -1.61419217E+001        -1.81199141E+002        7.60652244E+000 -7.04242174E+000        -2.17404747E+000        -3.09123013E+001        -7.50160109E+000        3.97400333E+002 7.63743373E+000
3.7500  1.91934686E+004 4.24774279E+004 7.65403239E+003 1.18561919E+006 -3.81230819E+005        1.19749453E+005 5.06380594E+001 2.33680838E+002 -5.05309694E+001        -6.74370705E+001        -7.50612812E+001        5.91297357E+001 8.85982660E+000 2.96049845E+001 1.02297060E+001 2.17278549E+001 6.11617164E+000 2.35180446E+002 3.65254797E+001 1.23873087E+001 -3.05616843E+002        2.37411911E+001 -1.40936150E+001        -1.91136086E+002        1.04235665E+001 -6.18577859E+000        -6.75469772E-002        -3.60057040E+001        -6.06533215E+000        4.15933174E+002 7.25184238E+000
3.8000  2.02658094E+004 4.18222409E+004 8.30310707E+003 1.17103558E+006 -3.92999173E+005        1.19950148E+005 5.37069525E+001 2.22596822E+002 -5.01666890E+001        -6.81952108E+001        -1.08728052E+002        8.14809475E+001 3.95163056E+000 6.27537213E+001 1.56837972E+001 2.39299560E+001 3.26116909E-001 2.50164781E+002 4.54232230E+001 1.03552003E+001 -3.20813280E+002        2.82951249E+001 -1.33315155E+001        -2.01813591E+002        8.80079405E+000 -3.54312336E-001        1.33423308E+000 -3.85472392E+001        -6.06449444E+000        4.35392331E+002 6.81665756E+000
3.8500  2.24939168E+004 4.10522800E+004 8.80995711E+003 1.15334274E+006 -4.29237975E+005        1.22867291E+005 5.73443805E+001 2.09822209E+002 -4.98775861E+001        -7.04644436E+001        -1.35148953E+002        1.12598407E+002 1.08438579E+001 9.87836051E+001 1.85480652E+001 2.55239558E+001 5.18817238E-001 2.63397983E+002 5.78299580E+001 1.52991640E+001 -3.34685536E+002        3.10673338E+001 -1.04804072E+001        -2.09000135E+002        1.20588401E+001 1.32728845E+000 2.51003131E+000 -4.45944867E+001        -4.72064526E+000        4.47043348E+002 6.25623631E+000
3.9000  2.44508196E+004 4.05025967E+004 9.46711851E+003 1.14125939E+006 -4.56783746E+005        1.24464653E+005 6.00245568E+001 1.98039937E+002 -4.99013135E+001        -7.25297823E+001        -1.65141950E+002        1.44440878E+002 1.53779427E+001 1.36446052E+002 2.23826825E+001 2.73570687E+001 -1.07882168E+000        2.79592535E+002 7.02073584E+001 1.84009811E+001 -3.51511289E+002        3.48459935E+001 -7.96574170E+000        -2.19530950E+002        1.39982076E+001 4.43822297E+000 4.41457460E+000 -5.01268192E+001        -3.23949517E+000        4.65105858E+002 5.46468641E+000
3.9500  2.61833471E+004 3.91368511E+004 9.94146593E+003 1.10789723E+006 -4.84571005E+005        1.25547672E+005 6.53584656E+001 1.82116085E+002 -4.88910842E+001        -7.29913068E+001        -1.98799063E+002        1.67926486E+002 1.24280201E+001 1.72271945E+002 2.73954505E+001 2.95305601E+001 -5.38704578E+000        2.90931517E+002 8.00287256E+001 1.78671284E+001 -3.62588183E+002        3.81471850E+001 -6.61960688E+000        -2.25567831E+002        1.32566354E+001 9.82346662E+000 4.40215273E+000 -5.27286107E+001        -3.02380129E+000        4.75067892E+002 5.25551891E+000
4.0000  2.82240632E+004 3.86565867E+004 1.06032397E+004 1.09772888E+006 -5.12602845E+005        1.27877045E+005 6.72624341E+001 1.70308114E+002 -4.89363673E+001        -7.54291959E+001        -2.27440472E+002        2.03258420E+002 2.00811059E+001 2.11395584E+002 3.05532692E+001 3.11702114E+001 -5.80916289E+000        3.07836970E+002 9.33161085E+001 2.30862639E+001 -3.80284042E+002        4.22627048E+001 -3.37878282E+000        -2.36429410E+002        1.67723650E+001 1.16181861E+001 6.44295419E+000 -5.98493154E+001        -1.54611743E+000        4.93511627E+002 4.24475095E+000
4.0500  3.00615256E+004 3.77089486E+004 1.12074878E+004 1.07530630E+006 -5.41516328E+005        1.30571009E+005 7.11146551E+001 1.56517543E+002 -4.83213825E+001        -7.69516201E+001        -2.56919203E+002        2.31522356E+002 2.28103508E+001 2.47528866E+002 3.44582243E+001 3.31013261E+001 -7.72011936E+000        3.20900163E+002 1.04656665E+002 2.53134920E+001 -3.93589118E+002        4.51098634E+001 -1.17270943E+000        -2.43813133E+002        1.79012191E+001 1.55834885E+001 7.06144356E+000 -6.37072144E+001        2.04491160E-001 5.05829736E+002 3.97949938E+000
4.1000  3.22555439E+004 3.61131396E+004 1.15878127E+004 1.03509715E+006 -5.76456688E+005        1.30778921E+005 7.68943967E+001 1.38924698E+002 -4.73219700E+001        -7.70700944E+001        -2.89983026E+002        2.56256853E+002 2.14708912E+001 2.84554934E+002 3.92359568E+001 3.51707643E+001 -1.12035560E+001        3.31167704E+002 1.15001784E+002 2.52167532E+001 -4.03290601E+002        4.78283028E+001 6.21557672E-001 -2.48597163E+002        1.73325070E+001 2.08451502E+001 6.71447904E+000 -6.62228249E+001        9.78083976E-001 5.12746664E+002 3.57334244E+000
4.1500  3.48653454E+004 3.49374295E+004 1.25195539E+004 1.00729937E+006 -6.18427284E+005        1.34238116E+005 8.08424723E+001 1.20200021E+002 -4.69117602E+001        -7.96083047E+001        -3.27396711E+002        3.00950013E+002 3.10993577E+001 3.35770190E+002 4.36633727E+001 3.75997075E+001 -1.14907535E+001        3.49970494E+002 1.32588959E+002 3.08560932E+001 -4.22422698E+002        5.12539247E+001 4.21147151E+000 -2.59394073E+002        2.07073834E+001 2.52106078E+001 8.19184167E+000 -7.27836859E+001        4.97785430E+000 5.30070820E+002 3.17367530E+000
4.2000  3.74421800E+004 3.33597429E+004 1.28572457E+004 9.67277611E+005 -6.59008440E+005        1.33544667E+005 8.63876132E+001 1.02471731E+002 -4.61424644E+001        -7.97864003E+001        -3.58919012E+002        3.28260234E+002 3.27075558E+001 3.73696661E+002 4.80066178E+001 3.95110496E+001 -1.36924455E+001        3.60387763E+002 1.43879623E+002 3.16861256E+001 -4.32245909E+002        5.35217085E+001 6.71347321E+000 -2.64143775E+002        2.07640310E+001 2.99839872E+001 7.97416673E+000 -7.57427889E+001        6.48827181E+000 5.36317304E+002 2.50780384E+000
4.2500  3.88467206E+004 3.28120876E+004 1.27299776E+004 9.52698376E+005 -6.79616729E+005        1.34899989E+005 8.97160956E+001 9.72098688E+001 -4.54388629E+001        -7.95817360E+001        -3.66810343E+002        3.31408085E+002 3.12396962E+001 3.82457536E+002 4.92566295E+001 4.00707881E+001 -1.43735871E+001        3.61363572E+002 1.45729379E+002 3.08929329E+001 -4.33280187E+002        5.31416765E+001 8.02759224E+000 -2.63069879E+002        1.96702554E+001 3.17084795E+001 6.34023023E+000 -7.49211075E+001        7.02576067E+000 5.34175987E+002 2.30098745E+000
4.3000  4.20450974E+004 3.11217837E+004 1.36854648E+004 9.11206551E+005 -7.32984998E+005        1.37910599E+005 9.51832841E+001 7.44445716E+001 -4.48038434E+001        -8.14656521E+001        -4.07091198E+002        3.79160737E+002 4.19554470E+001 4.38058037E+002 5.41459434E+001 4.27698986E+001 -1.41750490E+001        3.79204928E+002 1.65066899E+002 3.63333905E+001 -4.50985900E+002        5.54970009E+001 1.16707464E+001 -2.72191868E+002        2.25399711E+001 3.75673023E+001 6.86962526E+000 -8.03348790E+001        1.27701566E+001 5.47705665E+002 2.18788004E+000
4.3500  4.45508103E+004 2.96854655E+004 1.37068946E+004 8.73610734E+005 -7.71501614E+005        1.36568747E+005 1.00700100E+002 6.08672503E+001 -4.38857756E+001        -8.06069615E+001        -4.27297435E+002        3.92992067E+002 4.12749833E+001 4.61502912E+002 5.70914605E+001 4.39593548E+001 -1.57134715E+001        3.82820871E+002 1.71337562E+002 3.54581885E+001 -4.53886866E+002        5.59635781E+001 1.38045671E+001 -2.71983319E+002        2.13584234E+001 4.11704620E+001 5.21638153E+000 -8.07306955E+001        1.35708058E+001 5.45407164E+002 1.53944118E+000
4.4000  4.54959404E+004 2.96751696E+004 1.35574182E+004 8.72792105E+005 -7.82117202E+005        1.37765199E+005 1.01950771E+002 6.06009708E+001 -4.33029198E+001        -8.03571297E+001        -4.27441734E+002        3.92055094E+002 4.09932792E+001 4.62123637E+002 5.71610418E+001 4.40203967E+001 -1.54240254E+001        3.82830349E+002 1.71185230E+002 3.51811385E+001 -4.54413520E+002        5.53461643E+001 1.52715809E+001 -2.71019945E+002        2.07197326E+001 4.14264015E+001 3.70722752E+000 -7.98182379E+001        1.42405618E+001 5.44487362E+002 1.27881847E+000
4.4500  4.70331500E+004 3.01046979E+004 1.33506303E+004 8.83213386E+005 -8.02367293E+005        1.40183865E+005 1.02407011E+002 6.39086988E+001 -4.30170450E+001        -8.10796273E+001        -4.18004004E+002        3.91665802E+002 4.73733560E+001 4.57559749E+002 5.53951695E+001 4.35699684E+001 -1.13300521E+001        3.81511097E+002 1.71564060E+002 3.73548215E+001 -4.54186340E+002        5.26474568E+001 1.79367315E+001 -2.68695997E+002        2.16727819E+001 3.96625403E+001 2.47228706E+000 -7.90390050E+001        1.70401865E+001 5.41016797E+002 9.64432691E-001
4.5000  4.82107640E+004 2.97693318E+004 1.27101606E+004 8.72901736E+005 -8.19782049E+005        1.40664863E+005 1.05744092E+002 6.46719730E+001 -4.19719985E+001        -7.94207222E+001        -4.09538009E+002        3.76496674E+002 4.33630075E+001 4.45624480E+002 5.45736036E+001 4.31455316E+001 -1.05922940E+001        3.72925136E+002 1.66685377E+002 3.48266597E+001 -4.45627392E+002        4.96143069E+001 1.87235254E+001 -2.60487298E+002        1.92815734E+001 3.96532614E+001 -1.22026989E+000        -7.47674231E+001        1.70909566E+001 5.27027227E+002 1.02069849E+000
4.5500  4.93033523E+004 3.01471662E+004 1.21428478E+004 8.81119847E+005 -8.33467078E+005        1.42163908E+005 1.06624151E+002 7.07741081E+001 -4.13654248E+001        -7.87517240E+001        -3.92032257E+002        3.61880551E+002 4.48153737E+001 4.27878539E+002 5.20721989E+001 4.21836988E+001 -7.16893864E+000        3.64821735E+002 1.61761690E+002 3.44415313E+001 -4.38262851E+002        4.57025845E+001 2.03561318E+001 -2.53275178E+002        1.84371670E+001 3.75607318E+001 -4.04256388E+000        -7.11795820E+001        1.85565655E+001 5.15274753E+002 9.19700352E-001
4.6000  5.03346792E+004 3.09503601E+004 1.15336165E+004 9.00196363E+005 -8.44432444E+005        1.43826903E+005 1.06079160E+002 8.05858556E+001 -4.09856989E+001        -7.84198926E+001        -3.67782492E+002        3.45361383E+002 4.88283441E+001 4.04526016E+002 4.84388123E+001 4.08020218E+001 -2.22259922E+000        3.55966437E+002 1.55964398E+002 3.48913399E+001 -4.30528858E+002        4.11105753E+001 2.23806666E+001 -2.45917853E+002        1.82260028E+001 3.41262096E+001 -6.55841290E+000        -6.76461937E+001        2.05298466E+001 5.03628566E+002 7.27467638E-001
4.6500  5.08977764E+004 3.11854847E+004 1.05732224E+004 9.04057829E+005 -8.50954654E+005        1.44403410E+005 1.08000389E+002 8.90124531E+001 -4.00193652E+001        -7.60978208E+001        -3.43696486E+002        3.14817493E+002 4.33125629E+001 3.73479489E+002 4.55631467E+001 3.94319773E+001 -2.86220347E-001        3.40675498E+002 1.45106697E+002 3.11553146E+001 -4.15519126E+002        3.62189426E+001 2.25440412E+001 -2.33489625E+002        1.50405593E+001 3.21967033E+001 -1.13285725E+001        -6.08490902E+001        2.00916831E+001 4.83113383E+002 9.54610416E-001
4.7000  5.15095305E+004 3.22550744E+004 9.73502643E+003 9.29595252E+005 -8.54760805E+005        1.45841159E+005 1.06792820E+002 1.03125464E+002 -3.96167946E+001        -7.51296857E+001        -3.10316698E+002        2.87971685E+002 4.55303625E+001 3.38155000E+002 4.07997625E+001 3.74987747E+001 5.03676303E+000 3.27232418E+002 1.35330824E+002 3.04409242E+001 -4.03240044E+002        3.05402541E+001 2.39811405E+001 -2.23183920E+002        1.40564311E+001 2.77898716E+001 -1.46509920E+001        -5.55413672E+001        2.15106715E+001 4.66800951E+002 9.10375351E-001
4.7500  5.19551607E+004 3.34987086E+004 8.77763288E+003 9.59515850E+005 -8.55534155E+005        1.47184528E+005 1.05382739E+002 1.19462409E+002 -3.93352756E+001        -7.39311394E+001        -2.73215744E+002        2.56304236E+002 4.65986253E+001 2.97533063E+002 3.56150597E+001 3.53324783E+001 1.03626946E+001 3.12041625E+002 1.23701541E+002 2.90584405E+001 -3.89285588E+002        2.44919736E+001 2.50549013E+001 -2.11859046E+002        1.26481670E+001 2.29779572E+001 -1.83472651E+001        -4.94968745E+001        2.24445377E+001 4.48944830E+002 8.83174922E-001
4.8000  5.17946501E+004 3.41787531E+004 7.69580266E+003 9.74338177E+005 -8.50512651E+005        1.47234183E+005 1.05546481E+002 1.34040649E+002 -3.83642438E+001        -7.10398774E+001        -2.35948892E+002        2.14251448E+002 4.06512226E+001 2.51014618E+002 3.09485952E+001 3.31462742E+001 1.34601248E+001 2.91363475E+002 1.08228382E+002 2.46519523E+001 -3.69011024E+002        1.81473506E+001 2.48213051E+001 -1.96181673E+002        9.07322328E+000 1.94029070E+001 -2.36742382E+001        -4.08669555E+001        2.18492090E+001 4.23406075E+002 1.28310379E+000
4.8500  5.19070466E+004 3.58109953E+004 6.63217510E+003 1.01408907E+006 -8.44601440E+005        1.48510699E+005 1.02637541E+002 1.54475099E+002 -3.82785791E+001        -6.98420417E+001        -1.91016893E+002        1.77795123E+002 4.28308664E+001 2.02257929E+002 2.45788840E+001 3.04926561E+001 1.98373822E+001 2.74092253E+002 9.46042444E+001 2.34183193E+001 -3.53195987E+002        1.13704784E+001 2.57448208E+001 -1.83937844E+002        7.86449469E+000 1.33277491E+001 -2.72564167E+001        -3.43222717E+001        2.28725471E+001 4.04301250E+002 1.26812825E+000
4.9000  5.17625493E+004 3.71970882E+004 5.44123134E+003 1.04738959E+006 -8.35669827E+005        1.49224648E+005 1.00409364E+002 1.74363614E+002 -3.79064798E+001        -6.78284540E+001        -1.45524464E+002        1.35920759E+002 4.16319223E+001 1.50036088E+002 1.83957287E+001 2.77957942E+001 2.51811085E+001 2.54011727E+002 7.89907763E+001 2.06554334E+001 -3.34164448E+002        4.41275903E+000 2.59449363E+001 -1.69546053E+002        5.58971270E+000 7.76464694E+000 -3.15790674E+001        -2.64961960E+001        2.31144671E+001 3.81409200E+002 1.43436173E+000
4.9500  5.18552058E+004 3.81506405E+004 4.57575928E+003 1.06912646E+006 -8.29295394E+005        1.50446390E+005 9.96649919E+001 1.91733048E+002 -3.73635737E+001        -6.48017007E+001        -1.03835063E+002        9.04457613E+001 3.57870066E+001 9.81970511E+001 1.30723871E+001 2.53236104E+001 2.85606159E+001 2.32111769E+002 6.20642374E+001 1.58961484E+001 -3.12701950E+002        -2.19123370E+000        2.50219840E+001 -1.53621682E+002        1.81765815E+000 3.41591141E+000 -3.69786969E+001        -1.73727364E+001        2.23934913E+001 3.55523539E+002 1.67960606E+000
5.0000  5.14407056E+004 4.00472145E+004 3.26677953E+003 1.11580135E+006 -8.14793492E+005        1.51127321E+005 9.54288831E+001 2.15319278E+002 -3.73765274E+001        -6.35154562E+001        -5.28052023E+001        4.96009071E+001 3.82950123E+001 4.25087436E+001 5.83417398E+000 2.22953573E+001 3.54797187E+001 2.12877709E+002 4.66542570E+001 1.44630631E+001 -2.94992066E+002        -9.43587080E+000        2.55519193E+001 -1.40552145E+002        6.54934111E-001 -3.50135696E+000        -4.02913590E+001        -1.03901617E+001        2.32202765E+001 3.35255856E+002 1.78431583E+000


Defining Output Sensors for a Superelement

The locations at which data is recorded for the superelement is also controlled by keywords. QBlade can generate output for each CB mode of the superelement. The CB mode numbering is not affected by removing certain CB modes (SUPELEM_INACTIVE_CB_<X>). Each output requires the constraint ID of the superelement (CstID) and the ID of the CB mode for which an output should be recorded. If a CB mode or a constraint ID cannot be found no output is produced and the data channel is not added to the graphs.

The possible outputs for a superelement are as follows:

CST_<CstID>_CBPOS_<CBID>

records the modal position of the CB mode CBID of the superelement CstID.

CST_<CstID>_CBVEL_<CBID>

records the modal velocity of the CB mode CBID of the superelement CstID.

CST_<CstID>_CBACC_<CBID>

records the modal acceleration of the CB mode CBID of the superelement CstID.

CST_<CstID>_CBF_<CBID>

records the modal force of the CB mode CBID of the superelement CstID.

CST_<CstID>_CBFEXT_<CBID>

records the modal external force (as specified in the External Loading File of the CB mode CBID of the superelement CstID.

Exemplary Superelement Definition for the OC4 Jacket

An exemplary substructure file, containing the superelement definition of the OC4 Jacket substructure, based on the OpenFAST Github repository is shown below. The file is annotated with comments explaining the model setup:

Listing 95 : A superelement definition for the OC4 Jacket substructure (OC4_Jacket_Sub.str)
-----------------------------SUBSTRUCTURE DATA----------------------------

50      WATERDEPTH  //design depth

1025    WATERDENSITY // design density, used for flooded member mass calcs

false   ISFLOATING //if the structure is fixed the joint coordinates are assigned in a coordinate system with O(0,0,0) at the mudline, for floaters O(0,0,0) is at the MSL and marks the floaters's NP

//all following positions are defined in (x,y,z) [m]: for floaters: from the neutral point, which is located at MSL (0,0,0); for bottom fixed substructures: defined from seabed

TP_INTERFACE_POS //the interface position between substructure and tower or RNA
X[m]            Y[m]            Z[m]
0               0               70.15

REF_COG_POS  //cog reference position, at which the mass matrix is evaluated
X[m]            Y[m]            Z[m]
0               0               70.15

REF_HYDRO_POS //reference point for the evaluation of linearized hydrodynamic stiffness, damping, quaddamping, addedmass matrices and the constant force vector, not needed here
X[m]            Y[m]            Z[m]
0               0               70.15

SUB_MASS //a lumped mass matrix at the CoG position
6.6000E+05      0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00
0.0000E+00      6.6000E+05      0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00
0.0000E+00      0.0000E+00      6.6000E+05      0.0000E+00      0.0000E+00      0.0000E+00
0.0000E+00      0.0000E+00      0.0000E+00      6.0029E+06      0.0000E+00      0.0000E+00
0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00      6.0029E+06      0.0000E+00
0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00      0.0000E+00      1.0230E+07

SUBJOINTS // a single joint is here defined, which will be constrained to the transition piece (TP) and to the ground via the superelement
JointID JointX  JointY  JointZ
1       0.000   0.000   70.15

SUBCONSTRAINTS // the first constraint connects Joint1 and the TP, the second constraint fixes Joint1 (already connected to the TP) to the ground via the superelement ID 1
ID      JntID   Jnt2ID  TrP     Ground  Spring  DoF_X   DoF_Y   DoF_Z   DoF_rX  DoF_rY  DoF_rZ
1       1       0       1       0       0       1       1       1       1       1       1
2       1       0       0       1       -1      1       1       1       1       1       1

SUPELEM_MASS //the superelement mass matrix, _1 can be omitted since there is only a single superelement definition in this file
9.62349663e+05  5.07244708e-11 -4.23103689e-11  5.67542783e-10 -5.28236955e+06  2.84384853e-10  3.60609453e+02 -4.21795932e-12  5.68434189e-14 -3.49587026e-12 -1.11910481e-13 -6.94910796e-12  1.71286635e+02 -2.67720068e-10 -5.19584376e-13  2.93098879e-13  6.61626264e+01 -1.92928340e-10 -1.12265752e-12 -1.76164254e+02  3.88521215e-10 -9.52127266e-13  7.49622586e-13  1.58440372e-10 -9.54272988e+01  2.84217094e-13  8.52651283e-14  5.09814413e-13 -4.95956670e+01 -1.36008182e-09 -3.62643943e-13
5.02697235e-11  9.62255787e+05 -3.00720954e-10  5.28204269e+06  2.42627584e-11  1.74721822e-09  6.66533495e-12  3.60594532e+02 -4.54924987e-12 -2.33058017e-12  2.45847787e-12  1.11199938e-12  2.66871858e-10  1.71280791e+02 -1.98419059e-12 -6.85673740e-13  1.92540650e-10  6.61575677e+01  3.02868841e-12  3.88151733e-10  1.76097008e+02  1.63424829e-12 -4.26325641e-14  9.55355779e+01  1.57776014e-10  2.84217094e-13  2.20268248e-13  4.19220214e-13  1.36034473e-09 -4.95618190e+01  2.58222263e-13
-4.32198636e-11 -3.00720954e-10  9.38302373e+05 -5.43480339e-09  1.36757045e-10 -2.40072354e-10  1.77635684e-15 -5.57776048e-13 -5.89750471e-13 -3.53139740e-12  2.89310003e-02  8.29517478e+01  3.21342952e-12 -8.17124146e-13  2.84061752e-02 -1.33171368e+02  4.31654712e-13 -2.48689958e-13 -8.09101576e+01  4.26325641e-13  8.66862138e-13 -5.45693239e-02 -8.70414851e-13  2.48689958e-14 -3.80140364e-13  2.16574646e-02  2.20268248e-13  1.16342863e+02  5.16919840e-13 -7.67386155e-13 -1.61684683e+02
5.96646613e-10  5.28204269e+06 -5.52211488e-09  6.71710431e+07  5.19372141e-09  6.36789574e-09  3.24149596e-11  6.82513608e+03 -1.16585852e-10 -5.76392267e-11 -4.14956958e-12  3.13775672e-11  4.05203338e-09  2.57258734e+03 -4.54747351e-12  1.40971679e-11  3.27209904e-09  1.11887783e+03  2.27942110e-11  4.00615363e-09  1.80141709e+03 -8.52651283e-13  2.27373675e-12  1.02076670e+03  1.69688974e-09 -1.45519152e-11 -8.41282599e-12 -1.75077730e-11  2.16663807e-08 -7.90339629e+02  4.68378114e-11
-5.28236955e+06 -4.84107210e-12  1.65860876e-10  5.25192907e-09  6.71760707e+07 -1.88736567e-09 -6.82540351e+03  9.20437060e-11  1.27329258e-11  6.15045792e-11  1.93836058e-11  9.96465133e-11 -2.57268757e+03  4.00778433e-09 -4.02167188e-12 -1.37276857e-11 -1.11895113e+03  3.25478311e-09  1.88720151e-11  1.80213474e+03 -3.98034672e-09  1.79625204e-11 -1.05160325e-11 -1.68893166e-09  1.01964602e+03  4.66116035e-12  4.23483471e-12  2.21689334e-12  7.90657287e+02  2.16987246e-08 -1.67410530e-11
1.38865700e-10  1.73266631e-09 -2.40072354e-10  6.83355703e-09 -2.81868825e-09  1.02967449e+07 -2.61479727e-12 -2.33200126e-11  5.63008746e-01 -2.55342290e+03 -1.35041311e-10 -1.06531672e-10 -4.72510919e-11  1.47011292e-11 -3.20996563e-11  2.84217094e-14 -3.25428573e-12 -1.70530257e-13 -2.06057393e-13  7.10542736e-14 -1.98951966e-13  3.49587026e-12 -1.98408716e-01  2.10320650e-12  1.56319402e-12  2.13731255e-11 -1.14981199e+03  1.53477231e-12 -3.16902060e-12  1.29318778e-12  3.02257525e-12
3.60609453e+02  6.66533495e-12  1.77635684e-15  3.24149596e-11 -6.82540351e+03 -2.61479727e-12  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.21795932e-12  3.60594532e+02 -5.57776048e-13  6.82513608e+03  9.20437060e-11 -2.33200126e-11  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.68434189e-14 -4.54924987e-12 -5.89750471e-13 -1.16585852e-10  1.27329258e-11  5.63008746e-01  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-3.49587026e-12 -2.33058017e-12 -3.53139740e-12 -5.76392267e-11  6.15045792e-11 -2.55342290e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.11910481e-13  2.45847787e-12  2.89310003e-02 -4.14956958e-12  1.93836058e-11 -1.35041311e-10  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-6.94910796e-12  1.11199938e-12  8.29517478e+01  3.13775672e-11  9.96465133e-11 -1.06531672e-10  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.71286635e+02  2.66871858e-10  3.21342952e-12  4.05203338e-09 -2.57268757e+03 -4.72510919e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.67720068e-10  1.71280791e+02 -8.17124146e-13  2.57258734e+03  4.00778433e-09  1.47011292e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.19584376e-13 -1.98419059e-12  2.84061752e-02 -4.54747351e-12 -4.02167188e-12 -3.20996563e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.93098879e-13 -6.85673740e-13 -1.33171368e+02  1.40971679e-11 -1.37276857e-11  2.84217094e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
6.61626264e+01  1.92540650e-10  4.31654712e-13  3.27209904e-09 -1.11895113e+03 -3.25428573e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.92928340e-10  6.61575677e+01 -2.48689958e-13  1.11887783e+03  3.25478311e-09 -1.70530257e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.12265752e-12  3.02868841e-12 -8.09101576e+01  2.27942110e-11  1.88720151e-11 -2.06057393e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.76164254e+02  3.88151733e-10  4.26325641e-13  4.00615363e-09  1.80213474e+03  7.10542736e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.88521215e-10  1.76097008e+02  8.66862138e-13  1.80141709e+03 -3.98034672e-09 -1.98951966e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-9.52127266e-13  1.63424829e-12 -5.45693239e-02 -8.52651283e-13  1.79625204e-11  3.49587026e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.49622586e-13 -4.26325641e-14 -8.70414851e-13  2.27373675e-12 -1.05160325e-11 -1.98408716e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.58440372e-10  9.55355779e+01  2.48689958e-14  1.02076670e+03 -1.68893166e-09  2.10320650e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-9.54272988e+01  1.57776014e-10 -3.80140364e-13  1.69688974e-09  1.01964602e+03  1.56319402e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
2.84217094e-13  2.84217094e-13  2.16574646e-02 -1.45519152e-11  4.66116035e-12  2.13731255e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
8.52651283e-14  2.20268248e-13  2.20268248e-13 -8.41282599e-12  4.23483471e-12 -1.14981199e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.09814413e-13  4.19220214e-13  1.16342863e+02 -1.75077730e-11  2.21689334e-12  1.53477231e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.95956670e+01  1.36034473e-09  5.16919840e-13  2.16663807e-08  7.90657287e+02 -3.16902060e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00  0.00000000e+00
-1.36008182e-09 -4.95618190e+01 -7.67386155e-13 -7.90339629e+02  2.16987246e-08  1.29318778e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00  0.00000000e+00
-3.62643943e-13  2.58222263e-13 -1.61684683e+02  4.68378114e-11 -1.67410530e-11  3.02257525e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.00000000e+00

SUPELEM_STIFF //the superelement stiffness matrix, _1 can be omitted since there is only a single superelement definition in this file
8.43408083e+07  1.70093408e+00 -2.98665579e-01 -1.27235487e-01 -2.32742574e+09 -8.89638805e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.70093407e+00  8.43407974e+07 -3.47132372e-01  2.32742570e+09  2.35131553e+00  2.22409205e+01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.98666294e-01 -3.47133325e-01  1.96653266e+09 -8.89595318e+00  3.05175781e-04  3.82992553e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.27237395e-01  2.32742570e+09 -8.89601421e+00  1.09880894e+11  5.78474426e+01 -6.38474651e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.32742574e+09  2.35131077e+00  2.44140625e-04  5.78474426e+01  1.09880894e+11  1.53579546e+01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-8.89639568e+00  2.22409358e+01  3.82992249e+00 -6.38456340e+00  1.53578326e+01  8.20023159e+09  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  8.27071909e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  8.27135704e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.07785834e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.31373750e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.42200736e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.64405336e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.68270024e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.68285762e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.17765046e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.74450663e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.05700783e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.05731505e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.73972065e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.86089760e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.86096001e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.05759493e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.22983825e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.49929678e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.49948480e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  5.33947790e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  5.43841131e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  6.51457159e+03  0.00000000e+00  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.04641399e+03  0.00000000e+00  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.04695067e+03  0.00000000e+00
0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  7.97634193e+03

SUPELEM_DAMP //the superelement damping matrix, _1 can be omitted since there is only a single superelement definition in this file
1.54140226e+05  1.03756979e-03 -1.82186007e-04 -7.76135866e-05 -1.98341136e+06 -5.42679668e-03  3.84806348e+01 -4.50098439e-13  6.06576123e-15 -3.73044315e-13 -1.19419674e-14 -7.41539310e-13  1.82779968e+01 -2.85684085e-11 -5.54448487e-14  3.12765813e-14  7.06021387e+00 -2.05873832e-11 -1.19798784e-13 -1.87984875e+01  4.14590989e-11 -1.01601501e-13  7.99922262e-14  1.69071721e-11 -1.01830471e+01  3.03288061e-14  9.09864184e-15  5.44022960e-14 -5.29235362e+00 -1.45134332e-10 -3.86977351e-14
1.03756979e-03  1.54130201e+05 -2.11750779e-04  1.98337646e+06  1.43430248e-03  1.35669617e-02  7.11257893e-13  3.84790425e+01 -4.85450453e-13 -2.48696210e-13  2.62344173e-13  1.18661454e-13  2.84778960e-11  1.82773732e+01 -2.11732978e-13 -7.31682448e-14  2.05460128e-11  7.05967405e+00  3.23191340e-13  4.14196714e-11  1.87913117e+01  1.74390635e-13 -4.54932092e-15  1.01946015e+01  1.68362785e-11  3.03288061e-14  2.35048248e-14  4.47349890e-14  1.45162386e-10 -5.28874170e+00  2.75548977e-14
-1.82186444e-04 -2.11751361e-04  1.29971117e+06 -5.42653202e-03  1.86171820e-07  2.33625455e-03  1.89555038e-16 -5.95202820e-14 -6.29322727e-14 -3.76835416e-13  3.08722704e-03  8.85178101e+00  3.42905064e-13 -8.71953176e-14  3.03122296e-03 -1.42107167e+01  4.60618743e-14 -2.65377054e-14 -8.63392292e+00  4.54932092e-14  9.25028587e-14 -5.82309255e-03 -9.28819688e-14  2.65377054e-15 -4.05647782e-14  2.31106805e-03  2.35048248e-14  1.24149470e+01  5.51605162e-14 -8.18877766e-14 -1.72533725e+01
-7.76147470e-05  1.98337646e+06 -5.42656926e-03  7.41951676e+07  3.52869406e-02 -3.89469469e-03  3.45900034e-12  7.28310271e+02 -1.24408763e-11 -6.15068188e-12 -4.42800570e-13  3.34830020e-12  4.32392481e-10  2.74520795e+02 -4.85260898e-13  1.50430878e-12  3.49165688e-10  1.19395453e+02  2.43237025e-12  4.27496654e-10  1.92229217e+02 -9.09864184e-14  2.42630449e-13  1.08926015e+02  1.81075104e-10 -1.55283487e-12 -8.97732662e-13 -1.86825446e-12  2.31201948e-09 -8.43371418e+01  4.99806286e-12
-1.98341136e+06  1.43429957e-03  1.48943480e-07  3.52869406e-02  7.41957040e+07  9.36835213e-03 -7.28338809e+02  9.82198387e-12  1.35873051e-12  6.56315365e-12  2.06842458e-12  1.06332794e-11 -2.74531491e+02  4.27670665e-10 -4.29152607e-13 -1.46488134e-12 -1.19403275e+02  3.47317906e-10  2.01383273e-12  1.92305798e+02 -4.24742798e-10  1.91678055e-12 -1.12216583e-12 -1.80225898e-10  1.08806426e+02  4.97392421e-13  4.51899211e-13  2.36564688e-13  8.43710391e+01  2.31547090e-09 -1.78643776e-12
-5.42680135e-03  1.35669710e-02  2.33625269e-03 -3.89458295e-03  9.36827756e-03  6.10090692e+06 -2.79025016e-13 -2.48847854e-12  6.00786632e-02 -2.72475757e+02 -1.44102583e-11 -1.13679948e-11 -5.04216402e-12  1.56875750e-12 -3.42535432e-12  3.03288061e-15 -3.47264830e-13 -1.81972837e-14 -2.19883844e-14  7.58220153e-15 -2.12301643e-14  3.73044315e-13 -2.11721941e-02  2.24433165e-13  1.66808434e-13  2.28072622e-12 -1.22696437e+02  1.63775553e-13 -3.38166188e-13  1.37996068e-13  3.22539004e-13
3.84806348e+01  7.11257893e-13  1.89555038e-16  3.45900034e-12 -7.28338809e+02 -2.79025016e-13  6.11223865e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-4.50098439e-13  3.84790425e+01 -5.95202820e-14  7.28310271e+02  9.82198387e-12 -2.48847854e-12  0.00000000e+00  6.11262780e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
6.06576123e-15 -4.85450453e-13 -6.29322727e-14 -1.24408763e-11  1.35873051e-12  6.00786632e-02  0.00000000e+00  0.00000000e+00  7.64203586e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-3.73044315e-13 -2.48696210e-13 -3.76835416e-13 -6.15068188e-12  6.56315365e-12 -2.72475757e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  9.08089876e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.19419674e-14  2.62344173e-13  3.08722704e-03 -4.42800570e-13  2.06842458e-12 -1.44102583e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  9.74134488e-01  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-7.41539310e-13  1.18661454e-13  8.85178101e+00  3.34830020e-12  1.06332794e-11 -1.13679948e-11  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.10958255e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.82779968e+01  2.84778960e-11  3.42905064e-13  4.32392481e-10 -2.74531491e+02 -5.04216402e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.13315715e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.85684085e-11  1.82773732e+01 -8.71953176e-14  2.74520795e+02  4.27670665e-10  1.56875750e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.13325315e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.54448487e-14 -2.11732978e-13  3.03122296e-03 -4.85260898e-13 -4.29152607e-13 -3.42535432e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.43507678e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.12765813e-14 -7.31682448e-14 -1.42107167e+01  1.50430878e-12 -1.46488134e-12  3.03288061e-15  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.78085904e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.06021387e+00  2.05460128e-11  4.60618743e-14  3.49165688e-10 -1.19403275e+02 -3.47264830e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.97148478e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-2.05873832e-11  7.05967405e+00 -2.65377054e-14  1.19395453e+02  3.47317906e-10 -1.81972837e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  1.97167218e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.19798784e-13  3.23191340e-13 -8.63392292e+00  2.43237025e-12  2.01383273e-12 -2.19883844e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.38793960e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.87984875e+01  4.14196714e-11  4.54932092e-14  4.27496654e-10  1.92305798e+02  7.58220153e-15  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.46185753e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
4.14590989e-11  1.87913117e+01  9.25028587e-14  1.92229217e+02 -4.24742798e-10 -2.12301643e-14  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.46189561e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.01601501e-13  1.74390635e-13 -5.82309255e-03 -9.09864184e-14  1.91678055e-12  3.73044315e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.58184291e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
7.99922262e-14 -4.54932092e-15 -9.28819688e-14  2.42630449e-13 -1.12216583e-12 -2.11721941e-02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.68691133e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
1.69071721e-11  1.01946015e+01  2.65377054e-15  1.08926015e+02 -1.80225898e-10  2.24433165e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.85128104e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-1.01830471e+01  1.68362785e-11 -4.05647782e-14  1.81075104e-10  1.08806426e+02  1.66808434e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  2.85139573e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
3.03288061e-14  3.03288061e-14  2.31106805e-03 -1.55283487e-12  4.97392421e-13  2.28072622e-12  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.36379152e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
9.09864184e-15  2.35048248e-14  2.35048248e-14 -8.97732662e-13  4.51899211e-13 -1.22696437e+02  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  3.42414090e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
5.44022960e-14  4.47349890e-14  1.24149470e+01 -1.86825446e-12  2.36564688e-13  1.63775553e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.08059867e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00
-5.29235362e+00  1.45162386e-10  5.51605162e-14  2.31201948e-09  8.43710391e+01 -3.38166188e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.40502253e+00  0.00000000e+00  0.00000000e+00
-1.45134332e-10 -5.28874170e+00 -8.18877766e-14 -8.43371418e+01  2.31547090e-09  1.37996068e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.40534991e+00  0.00000000e+00
-3.86977351e-14  2.75548977e-14 -1.72533725e+01  4.99806286e-12 -1.78643776e-12  3.22539004e-13  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  0.00000000e+00  4.97227857e+00

2 SUPELEM_SUBSTEP //we use 2 integration steps for this superelement per structural timestep

//following are output sensors for the CB modes of the superelement

CST_2_CBPOS_1
CST_2_CBPOS_2
CST_2_CBPOS_3
CST_2_CBPOS_4
CST_2_CBPOS_5
CST_2_CBPOS_6
CST_2_CBPOS_7
CST_2_CBPOS_8
CST_2_CBPOS_9
CST_2_CBPOS_10
CST_2_CBPOS_11
CST_2_CBPOS_12
CST_2_CBPOS_13
CST_2_CBPOS_14
CST_2_CBPOS_15
CST_2_CBPOS_16
CST_2_CBPOS_17
CST_2_CBPOS_18
CST_2_CBPOS_19
CST_2_CBPOS_20
CST_2_CBPOS_21
CST_2_CBPOS_22
CST_2_CBPOS_23
CST_2_CBPOS_24
CST_2_CBPOS_25

CST_2_CBVEL_1
CST_2_CBVEL_2
CST_2_CBVEL_3
CST_2_CBVEL_4
CST_2_CBVEL_5
CST_2_CBVEL_6
CST_2_CBVEL_7
CST_2_CBVEL_8
CST_2_CBVEL_9
CST_2_CBVEL_10
CST_2_CBVEL_11
CST_2_CBVEL_12
CST_2_CBVEL_13
CST_2_CBVEL_14
CST_2_CBVEL_15
CST_2_CBVEL_16
CST_2_CBVEL_17
CST_2_CBVEL_18
CST_2_CBVEL_19
CST_2_CBVEL_20
CST_2_CBVEL_21
CST_2_CBVEL_22
CST_2_CBVEL_23
CST_2_CBVEL_24
CST_2_CBVEL_25

CST_2_CBACC_1
CST_2_CBACC_2
CST_2_CBACC_3
CST_2_CBACC_4
CST_2_CBACC_5
CST_2_CBACC_6
CST_2_CBACC_7
CST_2_CBACC_8
CST_2_CBACC_9
CST_2_CBACC_10
CST_2_CBACC_11
CST_2_CBACC_12
CST_2_CBACC_13
CST_2_CBACC_14
CST_2_CBACC_15
CST_2_CBACC_16
CST_2_CBACC_17
CST_2_CBACC_18
CST_2_CBACC_19
CST_2_CBACC_20
CST_2_CBACC_21
CST_2_CBACC_22
CST_2_CBACC_23
CST_2_CBACC_24
CST_2_CBACC_25

CST_2_CBF_1
CST_2_CBF_2
CST_2_CBF_3
CST_2_CBF_4
CST_2_CBF_5
CST_2_CBF_6
CST_2_CBF_7
CST_2_CBF_8
CST_2_CBF_9
CST_2_CBF_10
CST_2_CBF_11
CST_2_CBF_12
CST_2_CBF_13
CST_2_CBF_14
CST_2_CBF_15
CST_2_CBF_16
CST_2_CBF_17
CST_2_CBF_18
CST_2_CBF_19
CST_2_CBF_20
CST_2_CBF_21
CST_2_CBF_22
CST_2_CBF_23
CST_2_CBF_24
CST_2_CBF_25

CST_2_CBFEXT_1
CST_2_CBFEXT_2
CST_2_CBFEXT_3
CST_2_CBFEXT_4
CST_2_CBFEXT_5
CST_2_CBFEXT_6
CST_2_CBFEXT_7
CST_2_CBFEXT_8
CST_2_CBFEXT_9
CST_2_CBFEXT_10
CST_2_CBFEXT_11
CST_2_CBFEXT_12
CST_2_CBFEXT_13
CST_2_CBFEXT_14
CST_2_CBFEXT_15
CST_2_CBFEXT_16
CST_2_CBFEXT_17
CST_2_CBFEXT_18
CST_2_CBFEXT_19
CST_2_CBFEXT_20
CST_2_CBFEXT_21
CST_2_CBFEXT_22
CST_2_CBFEXT_23
CST_2_CBFEXT_24
CST_2_CBFEXT_25

1(1,2)

E. Branlard, M. Shields, B. Anderson, R. Damiani, F. Wendt, J. Jonkman, W. Musial, and B. Foley. Superelement reduction of substructures for sequential load calculations in openfast. Journal of Physics: Conference Series, 1452:012033, 2020. doi:10.1088/1742-6596/1452/1/012033.