________________________________________________________________________________ Frame3DD version: 20140514+ http://frame3dd.sf.net/ GPL Copyright (C) 1992-2015, Henri P. Gavin Frame3DD is distributed in the hope that it will be useful but with no warranty. For details see the GNU Public Licence: http://www.fsf.org/copyleft/gpl.html ________________________________________________________________________________ Proof-of-concept problem: Icosahedron frame - static and dynamic analysis (in kip) Thu Nov 16 13:18:20 2023 ________________________________________________________________________________ In 2D problems the Y-axis is vertical. In 3D problems the Z-axis is vertical. ________________________________________________________________________________ 11 NODES 5 FIXED NODES 25 FRAME ELEMENTS 1 LOAD CASES ________________________________________________________________________________ N O D E D A T A R E S T R A I N T S Node X Y Z radius Fx Fy Fz Mx My Mz 1 0.000000 0.000000 240.000000 0.000 0 0 0 0 0 0 2 214.662526 0.000000 107.331263 0.000 0 0 0 0 0 0 3 66.334369 204.156194 107.331263 0.000 0 0 0 0 0 0 4 -173.665631 126.175467 107.331263 0.000 0 0 0 0 0 0 5 -173.665631 -126.175467 107.331263 0.000 0 0 0 0 0 0 6 66.334369 -204.156194 107.331263 0.000 0 0 0 0 0 0 7 173.665631 -126.175467 -107.331263 0.000 1 1 1 1 1 1 8 173.665631 126.175467 -107.331263 0.000 1 1 1 1 1 1 9 -66.334369 204.156194 -107.331263 0.000 1 1 1 1 1 1 10 -214.662526 0.000000 -107.331263 0.000 1 1 1 1 1 1 11 -66.334369 -204.156194 -107.331263 0.000 1 1 1 1 1 1 F R A M E E L E M E N T D A T A (local) Elmnt J1 J2 Ax Asy Asz Jxx Iyy Izz E G roll density 1 1 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 2 1 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 3 1 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 4 1 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 5 1 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 6 2 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 7 3 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 8 4 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 9 5 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 10 6 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 11 2 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 12 2 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 13 3 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 14 3 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 15 4 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 16 4 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 17 5 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 18 5 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 19 6 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 20 6 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 21 7 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 22 8 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 23 9 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 24 10 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 25 11 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 Include shear deformations. Include geometric stiffness. L O A D C A S E 1 O F 1 ... Gravity X = 0.0 Gravity Y = 0.0 Gravity Z = -386.400 1 concentrated loads 0 uniformly distributed loads 0 trapezoidally distributed loads 0 concentrated point loads 0 temperature loads 0 prescribed displacements N O D A L L O A D S + E Q U I V A L E N T N O D A L L O A D S (global) Node Fx Fy Fz Mxx Myy Mzz 1 0.000 0.000 -0.232 0.000 0.000 0.000 2 0.000 0.000 -0.132 0.000 -2.602 0.000 3 0.000 0.000 -0.132 2.475 -0.804 0.000 4 0.000 0.000 -0.132 1.529 2.105 0.000 5 0.000 0.000 -0.132 -1.529 2.105 0.000 6 0.000 0.000 -0.132 -2.475 -0.804 0.000 7 0.000 0.000 -0.105 -0.976 -1.343 0.000 8 0.000 0.000 -0.105 0.976 -1.343 0.000 9 0.000 0.000 -0.105 1.579 0.513 0.000 10 0.000 0.000 -0.105 0.000 1.661 0.000 11 0.000 0.000 -0.105 -1.579 0.513 0.000 E L A S T I C S T I F F N E S S A N A L Y S I S via L D L' decomposition L O A D C A S E 1 O F 1 ... N O D E D I S P L A C E M E N T S (global) Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 0.0 0.0 -0.052586 0.0 0.0 0.0 2 0.009358 0.0 -0.016208 0.0 -0.048927 0.0 3 0.002892 0.008900 -0.016208 0.046533 -0.015119 0.0 4 -0.007571 0.005501 -0.016208 0.028759 0.039583 0.0 5 -0.007571 -0.005501 -0.016208 -0.028759 0.039583 0.0 6 0.002892 -0.008900 -0.016208 -0.046533 -0.015119 0.0 F R A M E E L E M E N T E N D F O R C E S (local) Elmnt Node Nx Vy Vz Txx Myy Mzz 1 1 0.081c 0.0 0.026 0.0 -1.343 0.0 1 2 -0.108c 0.0 0.019 0.0 0.369 0.0 2 1 0.081c 0.0 0.026 0.0 -1.343 0.0 2 3 -0.108c 0.0 0.019 0.0 0.369 0.0 3 1 0.081c 0.0 0.026 0.0 -1.343 0.0 3 4 -0.108c 0.0 0.019 0.0 0.369 0.0 4 1 0.081c 0.0 0.026 0.0 -1.343 0.0 4 5 -0.108c 0.0 0.019 0.0 0.369 0.0 5 1 0.081c 0.0 0.026 0.0 -1.343 0.0 5 6 -0.108c 0.0 0.019 0.0 0.369 0.0 6 2 -0.093t 0.0 0.026 0.0 -0.779 0.0 6 3 0.093t 0.0 0.026 0.0 0.779 0.0 7 3 -0.093t 0.0 0.026 0.0 -0.779 0.0 7 4 0.093t 0.0 0.026 0.0 0.779 0.0 8 4 -0.093t 0.0 0.026 0.0 -0.779 0.0 8 5 0.093t 0.0 0.026 0.0 0.779 0.0 9 5 -0.093t 0.0 0.026 0.0 -0.779 0.0 9 6 0.093t 0.0 0.026 0.0 0.779 0.0 10 6 -0.093t 0.0 0.026 0.0 -0.779 0.0 10 2 0.093t 0.0 0.026 0.0 0.779 0.0 11 2 0.081c 0.003 0.013 0.725 -0.408 0.454 11 7 -0.126c -0.003 0.015 -0.725 0.709 0.331 12 2 0.081c -0.003 0.013 -0.725 -0.408 -0.454 12 8 -0.126c 0.003 0.015 0.725 0.709 -0.331 13 3 0.081c 0.003 0.013 0.725 -0.408 0.454 13 8 -0.126c -0.003 0.015 -0.725 0.709 0.331 14 3 0.081c -0.003 0.013 -0.725 -0.408 -0.454 14 9 -0.126c 0.003 0.015 0.725 0.709 -0.331 15 4 0.081c 0.003 0.013 0.725 -0.408 0.454 15 9 -0.126c -0.003 0.015 -0.725 0.709 0.331 16 4 0.081c -0.003 0.013 -0.725 -0.408 -0.454 16 10 -0.126c 0.003 0.015 0.725 0.709 -0.331 17 5 0.081c 0.003 0.013 0.725 -0.408 0.454 17 10 -0.126c -0.003 0.015 -0.725 0.709 0.331 18 5 0.081c -0.003 0.013 -0.725 -0.408 -0.454 18 11 -0.126c 0.003 0.015 0.725 0.709 -0.331 19 6 0.081c 0.003 0.013 0.725 -0.408 0.454 19 11 -0.126c -0.003 0.015 -0.725 0.709 0.331 20 6 0.081c -0.003 0.013 -0.725 -0.408 -0.454 20 7 -0.126c 0.003 0.015 0.725 0.709 -0.331 21 7 0.0 0.0 0.026 0.0 -1.107 0.0 21 8 0.0 0.0 0.026 0.0 1.107 0.0 22 8 0.0 0.0 0.026 0.0 -1.107 0.0 22 9 0.0 0.0 0.026 0.0 1.107 0.0 23 9 0.0 0.0 0.026 0.0 -1.107 0.0 23 10 0.0 0.0 0.026 0.0 1.107 0.0 24 10 0.0 0.0 0.026 0.0 -1.107 0.0 24 11 0.0 0.0 0.026 0.0 1.107 0.0 25 11 0.0 0.0 0.026 0.0 -1.107 0.0 25 7 0.0 0.0 0.026 0.0 1.107 0.0 R E A C T I O N S (global) Node Fx Fy Fz Mxx Myy Mzz 7 -0.032 0.023 0.283 1.139 1.568 -0.000 8 -0.032 -0.023 0.283 -1.139 1.568 0.000 9 0.012 -0.037 0.283 -1.844 -0.599 -0.000 10 0.039 -0.000 0.283 0.000 -1.939 -0.000 11 0.012 0.037 0.283 1.844 -0.599 0.000 R M S R E L A T I V E E Q U I L I B R I U M E R R O R: 2.998e-30 P E A K F R A M E E L E M E N T I N T E R N A L F O R C E S(local)", Elmnt . Nx Vy Vz Txx Myy Mzz 1 max -0.081 0.000 0.019 0.000 0.598 0.000 1 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 2 max -0.081 -0.000 0.019 0.000 0.598 0.000 2 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 3 max -0.081 -0.000 0.019 0.000 0.598 0.000 3 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 4 max -0.081 0.000 0.019 -0.000 0.598 0.000 4 min -0.108 0.000 -0.026 -0.000 -1.343 -0.000 5 max -0.081 0.000 0.019 0.000 0.598 0.000 5 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 6 max 0.093 0.000 0.026 0.000 0.881 0.000 6 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 7 max 0.093 0.000 0.026 0.000 0.881 0.000 7 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 8 max 0.093 0.000 0.026 -0.000 0.881 0.000 8 min 0.093 0.000 -0.026 -0.000 -0.779 -0.000 9 max 0.093 -0.000 0.026 -0.000 0.881 0.000 9 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 10 max 0.093 -0.000 0.026 -0.000 0.881 0.000 10 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 11 max -0.081 -0.003 0.015 -0.725 0.321 0.331 11 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 12 max -0.081 0.003 0.015 0.725 0.321 0.454 12 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 13 max -0.081 -0.003 0.015 -0.725 0.321 0.331 13 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 14 max -0.081 0.003 0.015 0.725 0.321 0.454 14 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 15 max -0.081 -0.003 0.015 -0.725 0.321 0.331 15 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 16 max -0.081 0.003 0.015 0.725 0.321 0.454 16 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 17 max -0.081 -0.003 0.015 -0.725 0.321 0.331 17 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 18 max -0.081 0.003 0.015 0.725 0.321 0.454 18 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 19 max -0.081 -0.003 0.015 -0.725 0.321 0.331 19 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 20 max -0.081 0.003 0.015 0.725 0.321 0.454 20 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 21 max 0.000 -0.000 0.026 0.000 0.553 -0.000 21 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 22 max 0.000 -0.000 0.026 -0.000 0.553 -0.000 22 min 0.000 -0.000 -0.026 -0.000 -1.107 -0.000 23 max -0.000 -0.000 0.026 0.000 0.553 -0.000 23 min -0.000 -0.000 -0.026 0.000 -1.107 -0.000 24 max 0.000 -0.000 0.026 0.000 0.553 -0.000 24 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 25 max 0.000 -0.000 0.026 0.000 0.553 -0.000 25 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 M O D A L A N A L Y S I S R E S U L T S Total Mass: 3.404945e-03 Structural Mass: 3.404945e-03 N O D A L M A S S E S (diagonal of the mass matrix) (global) Node X-mass Y-mass Z-mass X-inrta Y-inrta Z-inrta 1 2.43556e-04 2.43556e-04 2.45773e-04 2.63680e-01 2.63680e-01 2.98941e-01 2 2.45329e-04 2.43556e-04 2.44000e-04 2.91889e-01 2.63680e-01 2.70732e-01 3 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 4 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 5 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 6 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 7 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 8 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 9 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 10 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 11 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 Use consistent mass matrix. N A T U R A L F R E Q U E N C I E S & M A S S N O R M A L I Z E D M O D E S H A P E S convergence tolerance: 1.000e-09 MODE 1: f= 2.093338 Hz, T= 0.477706 sec X- modal participation factor = 1.5218e-10 Y- modal participation factor = -9.6689e-11 Z- modal participation factor = 2.7338e-02 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 1.093e-08 -1.178e-08 2.562e-01 -1.252e-08 -1.370e-08 -3.206e-08 2 -5.864e-02 -5.347e-08 8.273e-02 -6.115e-08 8.051e-01 3.503e-08 3 -1.812e-02 -5.577e-02 8.273e-02 -7.657e-01 2.488e-01 3.270e-08 4 4.744e-02 -3.447e-02 8.273e-02 -4.732e-01 -6.514e-01 3.553e-08 5 4.744e-02 3.447e-02 8.273e-02 4.732e-01 -6.514e-01 4.057e-08 6 -1.812e-02 5.577e-02 8.273e-02 7.657e-01 2.488e-01 3.859e-08 7 -1.872e-08 1.360e-08 4.747e-08 -1.497e-07 -2.061e-07 -4.336e-13 8 -1.872e-08 -1.360e-08 4.747e-08 1.497e-07 -2.061e-07 8.156e-13 9 7.149e-09 -2.200e-08 4.747e-08 2.423e-07 7.873e-08 -9.702e-13 10 2.313e-08 1.470e-14 4.747e-08 -6.593e-13 2.548e-07 6.360e-13 11 7.149e-09 2.200e-08 4.747e-08 -2.423e-07 7.873e-08 -2.359e-13 MODE 2: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -1.2102e-02 Y- modal participation factor = -3.5148e-03 Z- modal participation factor = -1.6502e-14 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -3.580e-01 -1.040e-01 -1.539e-13 -3.319e-01 1.143e+00 3.962e-09 2 -2.782e-01 -6.115e-02 1.843e-02 -5.323e-02 -5.546e-01 1.050e-01 3 -2.228e-01 -9.879e-02 1.079e-02 3.574e-01 4.984e-02 -3.114e-01 4 -2.455e-01 -3.577e-02 -1.177e-02 -3.301e-01 -1.977e-01 -2.974e-01 5 -2.641e-01 -1.001e-01 -1.806e-02 3.717e-01 -4.015e-01 1.275e-01 6 -2.112e-01 -5.904e-02 6.046e-04 -7.625e-02 1.758e-01 3.762e-01 7 -2.041e-08 -2.660e-08 1.538e-08 -2.623e-07 -1.102e-07 -2.448e-07 8 -9.537e-09 1.083e-08 2.360e-08 2.707e-07 -2.650e-07 1.050e-07 9 -4.033e-08 -1.306e-08 -7.902e-10 -6.954e-08 1.736e-07 3.097e-07 10 -1.375e-09 -1.183e-08 -2.409e-08 -5.206e-08 -3.812e-07 8.641e-08 11 -3.361e-08 1.008e-08 -1.410e-08 2.599e-07 7.788e-08 -2.563e-07 MODE 3: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -3.5148e-03 Y- modal participation factor = 1.2102e-02 Z- modal participation factor = -1.1995e-12 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.040e-01 3.580e-01 -1.124e-11 1.143e+00 3.319e-01 2.395e-08 2 -8.079e-02 2.105e-01 5.353e-03 1.833e-01 -1.611e-01 -3.615e-01 3 -4.315e-02 2.659e-01 -1.588e-02 -4.211e-01 2.496e-01 -2.116e-01 4 -1.062e-01 2.432e-01 -1.516e-02 -1.735e-01 -4.379e-01 2.307e-01 5 -4.184e-02 2.246e-01 6.503e-03 3.026e-02 2.638e-01 3.542e-01 6 -8.290e-02 2.775e-01 1.918e-02 -5.471e-01 -1.841e-01 -1.186e-02 7 1.437e-08 2.170e-08 1.982e-08 -9.181e-08 -3.210e-07 1.899e-07 8 -2.306e-08 3.257e-08 -8.500e-09 6.300e-08 2.120e-07 2.915e-07 9 8.284e-10 1.774e-09 -2.507e-08 -3.756e-07 -1.282e-07 -9.758e-09 10 -3.994e-10 4.073e-08 -6.997e-09 1.792e-07 -1.107e-07 -2.975e-07 11 -2.230e-08 8.492e-09 2.075e-08 -2.799e-07 2.012e-07 -1.741e-07 MODE 4: f= 2.140846 Hz, T= 0.467105 sec X- modal participation factor = -1.0321e-12 Y- modal participation factor = 6.9350e-13 Z- modal participation factor = -5.4180e-16 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -4.755e-11 5.403e-11 -5.083e-15 1.425e-11 2.047e-11 1.431e+00 2 -3.816e-11 5.961e-02 1.065e-11 -3.747e-01 3.004e-11 -1.162e-01 3 -5.670e-02 1.842e-02 -9.632e-12 -1.158e-01 -3.563e-01 -1.162e-01 4 -3.504e-02 -4.823e-02 -1.667e-11 3.031e-01 -2.202e-01 -1.162e-01 5 3.504e-02 -4.823e-02 -6.132e-13 3.031e-01 2.202e-01 -1.162e-01 6 5.670e-02 1.842e-02 1.626e-11 -1.158e-01 3.563e-01 -1.162e-01 7 2.991e-09 4.117e-09 1.189e-17 5.790e-07 -4.206e-07 -4.419e-07 8 -2.991e-09 4.117e-09 7.266e-19 5.790e-07 4.206e-07 -4.419e-07 9 -4.840e-09 -1.573e-09 -1.152e-17 -2.211e-07 6.806e-07 -4.419e-07 10 -2.939e-18 -5.089e-09 -7.869e-18 -7.156e-07 -8.257e-17 -4.419e-07 11 4.840e-09 -1.573e-09 6.773e-18 -2.211e-07 -6.806e-07 -4.419e-07 MODE 5: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.7606e-10 Y- modal participation factor = 4.0601e-11 Z- modal participation factor = -7.8064e-15 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -2.265e-08 1.511e-08 -7.305e-14 3.153e-08 3.376e-08 9.892e-08 2 -1.641e-03 1.829e-03 1.149e-02 7.874e-01 -4.489e-02 2.151e-01 3 2.278e-03 -5.950e-04 -9.670e-04 -3.164e-01 -9.616e-01 -2.765e-01 4 -2.308e-03 -7.650e-04 -9.921e-03 -7.110e-01 4.686e-01 2.324e-01 5 1.470e-03 2.113e-03 1.702e-02 2.554e-01 2.678e-01 -9.942e-02 6 1.999e-04 -2.581e-03 -1.762e-02 -1.538e-02 2.702e-01 -7.149e-02 7 2.411e-09 1.254e-08 -8.838e-09 -5.137e-07 2.389e-07 1.751e-07 8 1.043e-08 1.464e-09 1.516e-08 8.285e-08 2.907e-07 -7.493e-08 9 6.358e-09 -8.056e-09 -1.569e-08 1.307e-07 2.224e-07 -5.388e-08 10 -6.276e-09 -1.070e-08 1.023e-08 5.147e-07 -1.259e-07 1.621e-07 11 -1.292e-08 4.755e-09 -8.615e-10 -2.146e-07 -6.261e-07 -2.084e-07 MODE 6: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.8001e-09 Y- modal participation factor = 1.3406e-09 Z- modal participation factor = -3.9766e-13 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.438e-07 1.747e-07 -3.726e-12 2.088e-07 1.983e-07 5.452e-07 2 -2.024e-03 -1.482e-03 1.416e-02 -6.385e-01 -5.536e-02 -1.744e-01 3 6.846e-04 2.513e-03 -1.821e-02 -5.108e-02 7.312e-02 1.468e-02 4 1.015e-03 -2.322e-03 1.530e-02 -4.111e-01 3.726e-01 1.507e-01 5 -2.048e-03 1.227e-03 -6.547e-03 7.805e-01 5.355e-01 -2.585e-01 6 2.371e-03 6.360e-05 -4.707e-03 3.202e-01 -9.258e-01 2.675e-01 7 1.117e-08 1.152e-09 1.363e-08 -1.931e-07 3.476e-07 1.135e-07 8 4.666e-09 -1.251e-08 -5.832e-09 5.425e-07 3.055e-07 -1.948e-07 9 -1.187e-08 -6.561e-09 -4.194e-09 2.469e-07 -5.929e-07 2.016e-07 10 -7.740e-09 8.680e-09 1.262e-08 -4.174e-07 -1.552e-07 -1.315e-07 11 3.770e-09 9.238e-09 -1.622e-08 -1.789e-07 9.508e-08 1.107e-08 M A T R I X I T E R A T I O N S: 13 There are 6 modes below 2.205115 Hz. ... All 6 modes were found. ________________________________________________________________________________ Frame3DD version: 20140514+ http://frame3dd.sf.net/ GPL Copyright (C) 1992-2015, Henri P. Gavin Frame3DD is distributed in the hope that it will be useful but with no warranty. For details see the GNU Public Licence: http://www.fsf.org/copyleft/gpl.html ________________________________________________________________________________ Proof-of-concept problem: Icosahedron frame - static and dynamic analysis (in kip) Thu Nov 16 13:41:09 2023 ________________________________________________________________________________ In 2D problems the Y-axis is vertical. In 3D problems the Z-axis is vertical. ________________________________________________________________________________ 11 NODES 5 FIXED NODES 25 FRAME ELEMENTS 1 LOAD CASES ________________________________________________________________________________ N O D E D A T A R E S T R A I N T S Node X Y Z radius Fx Fy Fz Mx My Mz 1 0.000000 0.000000 240.000000 0.000 0 0 0 0 0 0 2 214.662526 0.000000 107.331263 0.000 0 0 0 0 0 0 3 66.334369 204.156194 107.331263 0.000 0 0 0 0 0 0 4 -173.665631 126.175467 107.331263 0.000 0 0 0 0 0 0 5 -173.665631 -126.175467 107.331263 0.000 0 0 0 0 0 0 6 66.334369 -204.156194 107.331263 0.000 0 0 0 0 0 0 7 173.665631 -126.175467 -107.331263 0.000 1 1 1 1 1 1 8 173.665631 126.175467 -107.331263 0.000 1 1 1 1 1 1 9 -66.334369 204.156194 -107.331263 0.000 1 1 1 1 1 1 10 -214.662526 0.000000 -107.331263 0.000 1 1 1 1 1 1 11 -66.334369 -204.156194 -107.331263 0.000 1 1 1 1 1 1 F R A M E E L E M E N T D A T A (local) Elmnt J1 J2 Ax Asy Asz Jxx Iyy Izz E G roll density 1 1 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 2 1 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 3 1 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 4 1 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 5 1 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 6 2 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 7 3 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 8 4 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 9 5 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 10 6 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 11 2 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 12 2 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 13 3 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 14 3 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 15 4 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 16 4 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 17 5 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 18 5 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 19 6 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 20 6 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 21 7 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 22 8 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 23 9 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 24 10 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 25 11 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 Include shear deformations. Include geometric stiffness. L O A D C A S E 1 O F 1 ... Gravity X = 0.0 Gravity Y = 0.0 Gravity Z = -386.400 1 concentrated loads 0 uniformly distributed loads 0 trapezoidally distributed loads 0 concentrated point loads 0 temperature loads 0 prescribed displacements N O D A L L O A D S + E Q U I V A L E N T N O D A L L O A D S (global) Node Fx Fy Fz Mxx Myy Mzz 1 0.000 0.000 -0.232 0.000 0.000 0.000 2 0.000 0.000 -0.132 0.000 -2.602 0.000 3 0.000 0.000 -0.132 2.475 -0.804 0.000 4 0.000 0.000 -0.132 1.529 2.105 0.000 5 0.000 0.000 -0.132 -1.529 2.105 0.000 6 0.000 0.000 -0.132 -2.475 -0.804 0.000 7 0.000 0.000 -0.105 -0.976 -1.343 0.000 8 0.000 0.000 -0.105 0.976 -1.343 0.000 9 0.000 0.000 -0.105 1.579 0.513 0.000 10 0.000 0.000 -0.105 0.000 1.661 0.000 11 0.000 0.000 -0.105 -1.579 0.513 0.000 E L A S T I C S T I F F N E S S A N A L Y S I S via L D L' decomposition L O A D C A S E 1 O F 1 ... N O D E D I S P L A C E M E N T S (global) Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 0.0 0.0 -0.052586 0.0 0.0 0.0 2 0.009358 0.0 -0.016208 0.0 -0.048927 0.0 3 0.002892 0.008900 -0.016208 0.046533 -0.015119 0.0 4 -0.007571 0.005501 -0.016208 0.028759 0.039583 0.0 5 -0.007571 -0.005501 -0.016208 -0.028759 0.039583 0.0 6 0.002892 -0.008900 -0.016208 -0.046533 -0.015119 0.0 F R A M E E L E M E N T E N D F O R C E S (local) Elmnt Node Nx Vy Vz Txx Myy Mzz 1 1 0.081c 0.0 0.026 0.0 -1.343 0.0 1 2 -0.108c 0.0 0.019 0.0 0.369 0.0 2 1 0.081c 0.0 0.026 0.0 -1.343 0.0 2 3 -0.108c 0.0 0.019 0.0 0.369 0.0 3 1 0.081c 0.0 0.026 0.0 -1.343 0.0 3 4 -0.108c 0.0 0.019 0.0 0.369 0.0 4 1 0.081c 0.0 0.026 0.0 -1.343 0.0 4 5 -0.108c 0.0 0.019 0.0 0.369 0.0 5 1 0.081c 0.0 0.026 0.0 -1.343 0.0 5 6 -0.108c 0.0 0.019 0.0 0.369 0.0 6 2 -0.093t 0.0 0.026 0.0 -0.779 0.0 6 3 0.093t 0.0 0.026 0.0 0.779 0.0 7 3 -0.093t 0.0 0.026 0.0 -0.779 0.0 7 4 0.093t 0.0 0.026 0.0 0.779 0.0 8 4 -0.093t 0.0 0.026 0.0 -0.779 0.0 8 5 0.093t 0.0 0.026 0.0 0.779 0.0 9 5 -0.093t 0.0 0.026 0.0 -0.779 0.0 9 6 0.093t 0.0 0.026 0.0 0.779 0.0 10 6 -0.093t 0.0 0.026 0.0 -0.779 0.0 10 2 0.093t 0.0 0.026 0.0 0.779 0.0 11 2 0.081c 0.003 0.013 0.725 -0.408 0.454 11 7 -0.126c -0.003 0.015 -0.725 0.709 0.331 12 2 0.081c -0.003 0.013 -0.725 -0.408 -0.454 12 8 -0.126c 0.003 0.015 0.725 0.709 -0.331 13 3 0.081c 0.003 0.013 0.725 -0.408 0.454 13 8 -0.126c -0.003 0.015 -0.725 0.709 0.331 14 3 0.081c -0.003 0.013 -0.725 -0.408 -0.454 14 9 -0.126c 0.003 0.015 0.725 0.709 -0.331 15 4 0.081c 0.003 0.013 0.725 -0.408 0.454 15 9 -0.126c -0.003 0.015 -0.725 0.709 0.331 16 4 0.081c -0.003 0.013 -0.725 -0.408 -0.454 16 10 -0.126c 0.003 0.015 0.725 0.709 -0.331 17 5 0.081c 0.003 0.013 0.725 -0.408 0.454 17 10 -0.126c -0.003 0.015 -0.725 0.709 0.331 18 5 0.081c -0.003 0.013 -0.725 -0.408 -0.454 18 11 -0.126c 0.003 0.015 0.725 0.709 -0.331 19 6 0.081c 0.003 0.013 0.725 -0.408 0.454 19 11 -0.126c -0.003 0.015 -0.725 0.709 0.331 20 6 0.081c -0.003 0.013 -0.725 -0.408 -0.454 20 7 -0.126c 0.003 0.015 0.725 0.709 -0.331 21 7 0.0 0.0 0.026 0.0 -1.107 0.0 21 8 0.0 0.0 0.026 0.0 1.107 0.0 22 8 0.0 0.0 0.026 0.0 -1.107 0.0 22 9 0.0 0.0 0.026 0.0 1.107 0.0 23 9 0.0 0.0 0.026 0.0 -1.107 0.0 23 10 0.0 0.0 0.026 0.0 1.107 0.0 24 10 0.0 0.0 0.026 0.0 -1.107 0.0 24 11 0.0 0.0 0.026 0.0 1.107 0.0 25 11 0.0 0.0 0.026 0.0 -1.107 0.0 25 7 0.0 0.0 0.026 0.0 1.107 0.0 R E A C T I O N S (global) Node Fx Fy Fz Mxx Myy Mzz 7 -0.032 0.023 0.283 1.139 1.568 -0.000 8 -0.032 -0.023 0.283 -1.139 1.568 0.000 9 0.012 -0.037 0.283 -1.844 -0.599 -0.000 10 0.039 -0.000 0.283 0.000 -1.939 -0.000 11 0.012 0.037 0.283 1.844 -0.599 0.000 R M S R E L A T I V E E Q U I L I B R I U M E R R O R: 2.998e-30 P E A K F R A M E E L E M E N T I N T E R N A L F O R C E S(local)", Elmnt . Nx Vy Vz Txx Myy Mzz 1 max -0.081 0.000 0.019 0.000 0.598 0.000 1 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 2 max -0.081 -0.000 0.019 0.000 0.598 0.000 2 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 3 max -0.081 -0.000 0.019 0.000 0.598 0.000 3 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 4 max -0.081 0.000 0.019 -0.000 0.598 0.000 4 min -0.108 0.000 -0.026 -0.000 -1.343 -0.000 5 max -0.081 0.000 0.019 0.000 0.598 0.000 5 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 6 max 0.093 0.000 0.026 0.000 0.881 0.000 6 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 7 max 0.093 0.000 0.026 0.000 0.881 0.000 7 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 8 max 0.093 0.000 0.026 -0.000 0.881 0.000 8 min 0.093 0.000 -0.026 -0.000 -0.779 -0.000 9 max 0.093 -0.000 0.026 -0.000 0.881 0.000 9 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 10 max 0.093 -0.000 0.026 -0.000 0.881 0.000 10 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 11 max -0.081 -0.003 0.015 -0.725 0.321 0.331 11 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 12 max -0.081 0.003 0.015 0.725 0.321 0.454 12 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 13 max -0.081 -0.003 0.015 -0.725 0.321 0.331 13 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 14 max -0.081 0.003 0.015 0.725 0.321 0.454 14 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 15 max -0.081 -0.003 0.015 -0.725 0.321 0.331 15 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 16 max -0.081 0.003 0.015 0.725 0.321 0.454 16 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 17 max -0.081 -0.003 0.015 -0.725 0.321 0.331 17 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 18 max -0.081 0.003 0.015 0.725 0.321 0.454 18 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 19 max -0.081 -0.003 0.015 -0.725 0.321 0.331 19 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 20 max -0.081 0.003 0.015 0.725 0.321 0.454 20 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 21 max 0.000 -0.000 0.026 0.000 0.553 -0.000 21 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 22 max 0.000 -0.000 0.026 -0.000 0.553 -0.000 22 min 0.000 -0.000 -0.026 -0.000 -1.107 -0.000 23 max -0.000 -0.000 0.026 0.000 0.553 -0.000 23 min -0.000 -0.000 -0.026 0.000 -1.107 -0.000 24 max 0.000 -0.000 0.026 0.000 0.553 -0.000 24 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 25 max 0.000 -0.000 0.026 0.000 0.553 -0.000 25 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 M O D A L A N A L Y S I S R E S U L T S Total Mass: 3.404945e-03 Structural Mass: 3.404945e-03 N O D A L M A S S E S (diagonal of the mass matrix) (global) Node X-mass Y-mass Z-mass X-inrta Y-inrta Z-inrta 1 2.43556e-04 2.43556e-04 2.45773e-04 2.63680e-01 2.63680e-01 2.98941e-01 2 2.45329e-04 2.43556e-04 2.44000e-04 2.91889e-01 2.63680e-01 2.70732e-01 3 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 4 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 5 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 6 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 7 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 8 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 9 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 10 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 11 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 Use consistent mass matrix. N A T U R A L F R E Q U E N C I E S & M A S S N O R M A L I Z E D M O D E S H A P E S convergence tolerance: 1.000e-09 MODE 1: f= 2.093338 Hz, T= 0.477706 sec X- modal participation factor = 1.5218e-10 Y- modal participation factor = -9.6689e-11 Z- modal participation factor = 2.7338e-02 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 1.093e-08 -1.178e-08 2.562e-01 -1.252e-08 -1.370e-08 -3.206e-08 2 -5.864e-02 -5.347e-08 8.273e-02 -6.115e-08 8.051e-01 3.503e-08 3 -1.812e-02 -5.577e-02 8.273e-02 -7.657e-01 2.488e-01 3.270e-08 4 4.744e-02 -3.447e-02 8.273e-02 -4.732e-01 -6.514e-01 3.553e-08 5 4.744e-02 3.447e-02 8.273e-02 4.732e-01 -6.514e-01 4.057e-08 6 -1.812e-02 5.577e-02 8.273e-02 7.657e-01 2.488e-01 3.859e-08 7 -1.872e-08 1.360e-08 4.747e-08 -1.497e-07 -2.061e-07 -4.336e-13 8 -1.872e-08 -1.360e-08 4.747e-08 1.497e-07 -2.061e-07 8.156e-13 9 7.149e-09 -2.200e-08 4.747e-08 2.423e-07 7.873e-08 -9.702e-13 10 2.313e-08 1.470e-14 4.747e-08 -6.593e-13 2.548e-07 6.360e-13 11 7.149e-09 2.200e-08 4.747e-08 -2.423e-07 7.873e-08 -2.359e-13 MODE 2: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -1.2102e-02 Y- modal participation factor = -3.5148e-03 Z- modal participation factor = -1.6502e-14 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -3.580e-01 -1.040e-01 -1.539e-13 -3.319e-01 1.143e+00 3.962e-09 2 -2.782e-01 -6.115e-02 1.843e-02 -5.323e-02 -5.546e-01 1.050e-01 3 -2.228e-01 -9.879e-02 1.079e-02 3.574e-01 4.984e-02 -3.114e-01 4 -2.455e-01 -3.577e-02 -1.177e-02 -3.301e-01 -1.977e-01 -2.974e-01 5 -2.641e-01 -1.001e-01 -1.806e-02 3.717e-01 -4.015e-01 1.275e-01 6 -2.112e-01 -5.904e-02 6.046e-04 -7.625e-02 1.758e-01 3.762e-01 7 -2.041e-08 -2.660e-08 1.538e-08 -2.623e-07 -1.102e-07 -2.448e-07 8 -9.537e-09 1.083e-08 2.360e-08 2.707e-07 -2.650e-07 1.050e-07 9 -4.033e-08 -1.306e-08 -7.902e-10 -6.954e-08 1.736e-07 3.097e-07 10 -1.375e-09 -1.183e-08 -2.409e-08 -5.206e-08 -3.812e-07 8.641e-08 11 -3.361e-08 1.008e-08 -1.410e-08 2.599e-07 7.788e-08 -2.563e-07 MODE 3: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -3.5148e-03 Y- modal participation factor = 1.2102e-02 Z- modal participation factor = -1.1995e-12 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.040e-01 3.580e-01 -1.124e-11 1.143e+00 3.319e-01 2.395e-08 2 -8.079e-02 2.105e-01 5.353e-03 1.833e-01 -1.611e-01 -3.615e-01 3 -4.315e-02 2.659e-01 -1.588e-02 -4.211e-01 2.496e-01 -2.116e-01 4 -1.062e-01 2.432e-01 -1.516e-02 -1.735e-01 -4.379e-01 2.307e-01 5 -4.184e-02 2.246e-01 6.503e-03 3.026e-02 2.638e-01 3.542e-01 6 -8.290e-02 2.775e-01 1.918e-02 -5.471e-01 -1.841e-01 -1.186e-02 7 1.437e-08 2.170e-08 1.982e-08 -9.181e-08 -3.210e-07 1.899e-07 8 -2.306e-08 3.257e-08 -8.500e-09 6.300e-08 2.120e-07 2.915e-07 9 8.284e-10 1.774e-09 -2.507e-08 -3.756e-07 -1.282e-07 -9.758e-09 10 -3.994e-10 4.073e-08 -6.997e-09 1.792e-07 -1.107e-07 -2.975e-07 11 -2.230e-08 8.492e-09 2.075e-08 -2.799e-07 2.012e-07 -1.741e-07 MODE 4: f= 2.140846 Hz, T= 0.467105 sec X- modal participation factor = -1.0321e-12 Y- modal participation factor = 6.9350e-13 Z- modal participation factor = -5.4180e-16 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -4.755e-11 5.403e-11 -5.083e-15 1.425e-11 2.047e-11 1.431e+00 2 -3.816e-11 5.961e-02 1.065e-11 -3.747e-01 3.004e-11 -1.162e-01 3 -5.670e-02 1.842e-02 -9.632e-12 -1.158e-01 -3.563e-01 -1.162e-01 4 -3.504e-02 -4.823e-02 -1.667e-11 3.031e-01 -2.202e-01 -1.162e-01 5 3.504e-02 -4.823e-02 -6.132e-13 3.031e-01 2.202e-01 -1.162e-01 6 5.670e-02 1.842e-02 1.626e-11 -1.158e-01 3.563e-01 -1.162e-01 7 2.991e-09 4.117e-09 1.189e-17 5.790e-07 -4.206e-07 -4.419e-07 8 -2.991e-09 4.117e-09 7.266e-19 5.790e-07 4.206e-07 -4.419e-07 9 -4.840e-09 -1.573e-09 -1.152e-17 -2.211e-07 6.806e-07 -4.419e-07 10 -2.939e-18 -5.089e-09 -7.869e-18 -7.156e-07 -8.257e-17 -4.419e-07 11 4.840e-09 -1.573e-09 6.773e-18 -2.211e-07 -6.806e-07 -4.419e-07 MODE 5: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.7606e-10 Y- modal participation factor = 4.0601e-11 Z- modal participation factor = -7.8064e-15 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -2.265e-08 1.511e-08 -7.305e-14 3.153e-08 3.376e-08 9.892e-08 2 -1.641e-03 1.829e-03 1.149e-02 7.874e-01 -4.489e-02 2.151e-01 3 2.278e-03 -5.950e-04 -9.670e-04 -3.164e-01 -9.616e-01 -2.765e-01 4 -2.308e-03 -7.650e-04 -9.921e-03 -7.110e-01 4.686e-01 2.324e-01 5 1.470e-03 2.113e-03 1.702e-02 2.554e-01 2.678e-01 -9.942e-02 6 1.999e-04 -2.581e-03 -1.762e-02 -1.538e-02 2.702e-01 -7.149e-02 7 2.411e-09 1.254e-08 -8.838e-09 -5.137e-07 2.389e-07 1.751e-07 8 1.043e-08 1.464e-09 1.516e-08 8.285e-08 2.907e-07 -7.493e-08 9 6.358e-09 -8.056e-09 -1.569e-08 1.307e-07 2.224e-07 -5.388e-08 10 -6.276e-09 -1.070e-08 1.023e-08 5.147e-07 -1.259e-07 1.621e-07 11 -1.292e-08 4.755e-09 -8.615e-10 -2.146e-07 -6.261e-07 -2.084e-07 MODE 6: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.8001e-09 Y- modal participation factor = 1.3406e-09 Z- modal participation factor = -3.9766e-13 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.438e-07 1.747e-07 -3.726e-12 2.088e-07 1.983e-07 5.452e-07 2 -2.024e-03 -1.482e-03 1.416e-02 -6.385e-01 -5.536e-02 -1.744e-01 3 6.846e-04 2.513e-03 -1.821e-02 -5.108e-02 7.312e-02 1.468e-02 4 1.015e-03 -2.322e-03 1.530e-02 -4.111e-01 3.726e-01 1.507e-01 5 -2.048e-03 1.227e-03 -6.547e-03 7.805e-01 5.355e-01 -2.585e-01 6 2.371e-03 6.360e-05 -4.707e-03 3.202e-01 -9.258e-01 2.675e-01 7 1.117e-08 1.152e-09 1.363e-08 -1.931e-07 3.476e-07 1.135e-07 8 4.666e-09 -1.251e-08 -5.832e-09 5.425e-07 3.055e-07 -1.948e-07 9 -1.187e-08 -6.561e-09 -4.194e-09 2.469e-07 -5.929e-07 2.016e-07 10 -7.740e-09 8.680e-09 1.262e-08 -4.174e-07 -1.552e-07 -1.315e-07 11 3.770e-09 9.238e-09 -1.622e-08 -1.789e-07 9.508e-08 1.107e-08 M A T R I X I T E R A T I O N S: 13 There are 6 modes below 2.205115 Hz. ... All 6 modes were found. ________________________________________________________________________________ Frame3DD version: 20140514+ http://frame3dd.sf.net/ GPL Copyright (C) 1992-2015, Henri P. Gavin Frame3DD is distributed in the hope that it will be useful but with no warranty. For details see the GNU Public Licence: http://www.fsf.org/copyleft/gpl.html ________________________________________________________________________________ Proof-of-concept problem: Icosahedron frame - static and dynamic analysis (in kip) Thu Nov 16 14:35:13 2023 ________________________________________________________________________________ In 2D problems the Y-axis is vertical. In 3D problems the Z-axis is vertical. ________________________________________________________________________________ 11 NODES 5 FIXED NODES 25 FRAME ELEMENTS 1 LOAD CASES ________________________________________________________________________________ N O D E D A T A R E S T R A I N T S Node X Y Z radius Fx Fy Fz Mx My Mz 1 0.000000 0.000000 240.000000 0.000 0 0 0 0 0 0 2 214.662526 0.000000 107.331263 0.000 0 0 0 0 0 0 3 66.334369 204.156194 107.331263 0.000 0 0 0 0 0 0 4 -173.665631 126.175467 107.331263 0.000 0 0 0 0 0 0 5 -173.665631 -126.175467 107.331263 0.000 0 0 0 0 0 0 6 66.334369 -204.156194 107.331263 0.000 0 0 0 0 0 0 7 173.665631 -126.175467 -107.331263 0.000 1 1 1 1 1 1 8 173.665631 126.175467 -107.331263 0.000 1 1 1 1 1 1 9 -66.334369 204.156194 -107.331263 0.000 1 1 1 1 1 1 10 -214.662526 0.000000 -107.331263 0.000 1 1 1 1 1 1 11 -66.334369 -204.156194 -107.331263 0.000 1 1 1 1 1 1 F R A M E E L E M E N T D A T A (local) Elmnt J1 J2 Ax Asy Asz Jxx Iyy Izz E G roll density 1 1 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 2 1 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 3 1 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 4 1 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 5 1 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 6 2 3 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 7 3 4 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 8 4 5 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 9 5 6 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 10 6 2 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 11 2 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 12 2 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 13 3 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 14 3 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 15 4 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 16 4 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 17 5 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 18 5 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 19 6 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 20 6 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 21 7 8 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 22 8 9 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 23 9 10 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 24 10 11 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 25 11 7 0.7 0.4 0.4 0.7 0.3 0.3 2900.0 11500.0 0 7.33e-07 Include shear deformations. Include geometric stiffness. L O A D C A S E 1 O F 1 ... Gravity X = 0.0 Gravity Y = 0.0 Gravity Z = -386.400 1 concentrated loads 0 uniformly distributed loads 0 trapezoidally distributed loads 0 concentrated point loads 0 temperature loads 0 prescribed displacements N O D A L L O A D S + E Q U I V A L E N T N O D A L L O A D S (global) Node Fx Fy Fz Mxx Myy Mzz 1 0.000 0.000 -0.232 0.000 0.000 0.000 2 0.000 0.000 -0.132 0.000 -2.602 0.000 3 0.000 0.000 -0.132 2.475 -0.804 0.000 4 0.000 0.000 -0.132 1.529 2.105 0.000 5 0.000 0.000 -0.132 -1.529 2.105 0.000 6 0.000 0.000 -0.132 -2.475 -0.804 0.000 7 0.000 0.000 -0.105 -0.976 -1.343 0.000 8 0.000 0.000 -0.105 0.976 -1.343 0.000 9 0.000 0.000 -0.105 1.579 0.513 0.000 10 0.000 0.000 -0.105 0.000 1.661 0.000 11 0.000 0.000 -0.105 -1.579 0.513 0.000 E L A S T I C S T I F F N E S S A N A L Y S I S via L D L' decomposition L O A D C A S E 1 O F 1 ... N O D E D I S P L A C E M E N T S (global) Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 0.0 0.0 -0.052586 0.0 0.0 0.0 2 0.009358 0.0 -0.016208 0.0 -0.048927 0.0 3 0.002892 0.008900 -0.016208 0.046533 -0.015119 0.0 4 -0.007571 0.005501 -0.016208 0.028759 0.039583 0.0 5 -0.007571 -0.005501 -0.016208 -0.028759 0.039583 0.0 6 0.002892 -0.008900 -0.016208 -0.046533 -0.015119 0.0 F R A M E E L E M E N T E N D F O R C E S (local) Elmnt Node Nx Vy Vz Txx Myy Mzz 1 1 0.081c 0.0 0.026 0.0 -1.343 0.0 1 2 -0.108c 0.0 0.019 0.0 0.369 0.0 2 1 0.081c 0.0 0.026 0.0 -1.343 0.0 2 3 -0.108c 0.0 0.019 0.0 0.369 0.0 3 1 0.081c 0.0 0.026 0.0 -1.343 0.0 3 4 -0.108c 0.0 0.019 0.0 0.369 0.0 4 1 0.081c 0.0 0.026 0.0 -1.343 0.0 4 5 -0.108c 0.0 0.019 0.0 0.369 0.0 5 1 0.081c 0.0 0.026 0.0 -1.343 0.0 5 6 -0.108c 0.0 0.019 0.0 0.369 0.0 6 2 -0.093t 0.0 0.026 0.0 -0.779 0.0 6 3 0.093t 0.0 0.026 0.0 0.779 0.0 7 3 -0.093t 0.0 0.026 0.0 -0.779 0.0 7 4 0.093t 0.0 0.026 0.0 0.779 0.0 8 4 -0.093t 0.0 0.026 0.0 -0.779 0.0 8 5 0.093t 0.0 0.026 0.0 0.779 0.0 9 5 -0.093t 0.0 0.026 0.0 -0.779 0.0 9 6 0.093t 0.0 0.026 0.0 0.779 0.0 10 6 -0.093t 0.0 0.026 0.0 -0.779 0.0 10 2 0.093t 0.0 0.026 0.0 0.779 0.0 11 2 0.081c 0.003 0.013 0.725 -0.408 0.454 11 7 -0.126c -0.003 0.015 -0.725 0.709 0.331 12 2 0.081c -0.003 0.013 -0.725 -0.408 -0.454 12 8 -0.126c 0.003 0.015 0.725 0.709 -0.331 13 3 0.081c 0.003 0.013 0.725 -0.408 0.454 13 8 -0.126c -0.003 0.015 -0.725 0.709 0.331 14 3 0.081c -0.003 0.013 -0.725 -0.408 -0.454 14 9 -0.126c 0.003 0.015 0.725 0.709 -0.331 15 4 0.081c 0.003 0.013 0.725 -0.408 0.454 15 9 -0.126c -0.003 0.015 -0.725 0.709 0.331 16 4 0.081c -0.003 0.013 -0.725 -0.408 -0.454 16 10 -0.126c 0.003 0.015 0.725 0.709 -0.331 17 5 0.081c 0.003 0.013 0.725 -0.408 0.454 17 10 -0.126c -0.003 0.015 -0.725 0.709 0.331 18 5 0.081c -0.003 0.013 -0.725 -0.408 -0.454 18 11 -0.126c 0.003 0.015 0.725 0.709 -0.331 19 6 0.081c 0.003 0.013 0.725 -0.408 0.454 19 11 -0.126c -0.003 0.015 -0.725 0.709 0.331 20 6 0.081c -0.003 0.013 -0.725 -0.408 -0.454 20 7 -0.126c 0.003 0.015 0.725 0.709 -0.331 21 7 0.0 0.0 0.026 0.0 -1.107 0.0 21 8 0.0 0.0 0.026 0.0 1.107 0.0 22 8 0.0 0.0 0.026 0.0 -1.107 0.0 22 9 0.0 0.0 0.026 0.0 1.107 0.0 23 9 0.0 0.0 0.026 0.0 -1.107 0.0 23 10 0.0 0.0 0.026 0.0 1.107 0.0 24 10 0.0 0.0 0.026 0.0 -1.107 0.0 24 11 0.0 0.0 0.026 0.0 1.107 0.0 25 11 0.0 0.0 0.026 0.0 -1.107 0.0 25 7 0.0 0.0 0.026 0.0 1.107 0.0 R E A C T I O N S (global) Node Fx Fy Fz Mxx Myy Mzz 7 -0.032 0.023 0.283 1.139 1.568 -0.000 8 -0.032 -0.023 0.283 -1.139 1.568 0.000 9 0.012 -0.037 0.283 -1.844 -0.599 -0.000 10 0.039 -0.000 0.283 0.000 -1.939 -0.000 11 0.012 0.037 0.283 1.844 -0.599 0.000 R M S R E L A T I V E E Q U I L I B R I U M E R R O R: 2.998e-30 P E A K F R A M E E L E M E N T I N T E R N A L F O R C E S(local)", Elmnt . Nx Vy Vz Txx Myy Mzz 1 max -0.081 0.000 0.019 0.000 0.598 0.000 1 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 2 max -0.081 -0.000 0.019 0.000 0.598 0.000 2 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 3 max -0.081 -0.000 0.019 0.000 0.598 0.000 3 min -0.108 -0.000 -0.026 0.000 -1.343 -0.000 4 max -0.081 0.000 0.019 -0.000 0.598 0.000 4 min -0.108 0.000 -0.026 -0.000 -1.343 -0.000 5 max -0.081 0.000 0.019 0.000 0.598 0.000 5 min -0.108 0.000 -0.026 0.000 -1.343 -0.000 6 max 0.093 0.000 0.026 0.000 0.881 0.000 6 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 7 max 0.093 0.000 0.026 0.000 0.881 0.000 7 min 0.093 0.000 -0.026 0.000 -0.779 -0.000 8 max 0.093 0.000 0.026 -0.000 0.881 0.000 8 min 0.093 0.000 -0.026 -0.000 -0.779 -0.000 9 max 0.093 -0.000 0.026 -0.000 0.881 0.000 9 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 10 max 0.093 -0.000 0.026 -0.000 0.881 0.000 10 min 0.093 -0.000 -0.026 -0.000 -0.779 -0.000 11 max -0.081 -0.003 0.015 -0.725 0.321 0.331 11 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 12 max -0.081 0.003 0.015 0.725 0.321 0.454 12 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 13 max -0.081 -0.003 0.015 -0.725 0.321 0.331 13 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 14 max -0.081 0.003 0.015 0.725 0.321 0.454 14 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 15 max -0.081 -0.003 0.015 -0.725 0.321 0.331 15 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 16 max -0.081 0.003 0.015 0.725 0.321 0.454 16 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 17 max -0.081 -0.003 0.015 -0.725 0.321 0.331 17 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 18 max -0.081 0.003 0.015 0.725 0.321 0.454 18 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 19 max -0.081 -0.003 0.015 -0.725 0.321 0.331 19 min -0.126 -0.003 -0.013 -0.725 -0.709 -0.454 20 max -0.081 0.003 0.015 0.725 0.321 0.454 20 min -0.126 0.003 -0.013 0.725 -0.709 -0.331 21 max 0.000 -0.000 0.026 0.000 0.553 -0.000 21 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 22 max 0.000 -0.000 0.026 -0.000 0.553 -0.000 22 min 0.000 -0.000 -0.026 -0.000 -1.107 -0.000 23 max -0.000 -0.000 0.026 0.000 0.553 -0.000 23 min -0.000 -0.000 -0.026 0.000 -1.107 -0.000 24 max 0.000 -0.000 0.026 0.000 0.553 -0.000 24 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 25 max 0.000 -0.000 0.026 0.000 0.553 -0.000 25 min 0.000 -0.000 -0.026 0.000 -1.107 -0.000 M O D A L A N A L Y S I S R E S U L T S Total Mass: 3.404945e-03 Structural Mass: 3.404945e-03 N O D A L M A S S E S (diagonal of the mass matrix) (global) Node X-mass Y-mass Z-mass X-inrta Y-inrta Z-inrta 1 2.43556e-04 2.43556e-04 2.45773e-04 2.63680e-01 2.63680e-01 2.98941e-01 2 2.45329e-04 2.43556e-04 2.44000e-04 2.91889e-01 2.63680e-01 2.70732e-01 3 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 4 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 5 2.44717e-04 2.44169e-04 2.44000e-04 2.82143e-01 2.73426e-01 2.70732e-01 6 2.43726e-04 2.45160e-04 2.44000e-04 2.66373e-01 2.89195e-01 2.70732e-01 7 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 8 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 9 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 10 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 11 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 4.96220e+00 Use consistent mass matrix. N A T U R A L F R E Q U E N C I E S & M A S S N O R M A L I Z E D M O D E S H A P E S convergence tolerance: 1.000e-09 MODE 1: f= 2.093338 Hz, T= 0.477706 sec X- modal participation factor = 1.5218e-10 Y- modal participation factor = -9.6689e-11 Z- modal participation factor = 2.7338e-02 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 1.093e-08 -1.178e-08 2.562e-01 -1.252e-08 -1.370e-08 -3.206e-08 2 -5.864e-02 -5.347e-08 8.273e-02 -6.115e-08 8.051e-01 3.503e-08 3 -1.812e-02 -5.577e-02 8.273e-02 -7.657e-01 2.488e-01 3.270e-08 4 4.744e-02 -3.447e-02 8.273e-02 -4.732e-01 -6.514e-01 3.553e-08 5 4.744e-02 3.447e-02 8.273e-02 4.732e-01 -6.514e-01 4.057e-08 6 -1.812e-02 5.577e-02 8.273e-02 7.657e-01 2.488e-01 3.859e-08 7 -1.872e-08 1.360e-08 4.747e-08 -1.497e-07 -2.061e-07 -4.336e-13 8 -1.872e-08 -1.360e-08 4.747e-08 1.497e-07 -2.061e-07 8.156e-13 9 7.149e-09 -2.200e-08 4.747e-08 2.423e-07 7.873e-08 -9.702e-13 10 2.313e-08 1.470e-14 4.747e-08 -6.593e-13 2.548e-07 6.360e-13 11 7.149e-09 2.200e-08 4.747e-08 -2.423e-07 7.873e-08 -2.359e-13 MODE 2: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -1.2102e-02 Y- modal participation factor = -3.5148e-03 Z- modal participation factor = -1.6502e-14 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -3.580e-01 -1.040e-01 -1.539e-13 -3.319e-01 1.143e+00 3.962e-09 2 -2.782e-01 -6.115e-02 1.843e-02 -5.323e-02 -5.546e-01 1.050e-01 3 -2.228e-01 -9.879e-02 1.079e-02 3.574e-01 4.984e-02 -3.114e-01 4 -2.455e-01 -3.577e-02 -1.177e-02 -3.301e-01 -1.977e-01 -2.974e-01 5 -2.641e-01 -1.001e-01 -1.806e-02 3.717e-01 -4.015e-01 1.275e-01 6 -2.112e-01 -5.904e-02 6.046e-04 -7.625e-02 1.758e-01 3.762e-01 7 -2.041e-08 -2.660e-08 1.538e-08 -2.623e-07 -1.102e-07 -2.448e-07 8 -9.537e-09 1.083e-08 2.360e-08 2.707e-07 -2.650e-07 1.050e-07 9 -4.033e-08 -1.306e-08 -7.902e-10 -6.954e-08 1.736e-07 3.097e-07 10 -1.375e-09 -1.183e-08 -2.409e-08 -5.206e-08 -3.812e-07 8.641e-08 11 -3.361e-08 1.008e-08 -1.410e-08 2.599e-07 7.788e-08 -2.563e-07 MODE 3: f= 2.095241 Hz, T= 0.477272 sec X- modal participation factor = -3.5148e-03 Y- modal participation factor = 1.2102e-02 Z- modal participation factor = -1.1995e-12 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.040e-01 3.580e-01 -1.124e-11 1.143e+00 3.319e-01 2.395e-08 2 -8.079e-02 2.105e-01 5.353e-03 1.833e-01 -1.611e-01 -3.615e-01 3 -4.315e-02 2.659e-01 -1.588e-02 -4.211e-01 2.496e-01 -2.116e-01 4 -1.062e-01 2.432e-01 -1.516e-02 -1.735e-01 -4.379e-01 2.307e-01 5 -4.184e-02 2.246e-01 6.503e-03 3.026e-02 2.638e-01 3.542e-01 6 -8.290e-02 2.775e-01 1.918e-02 -5.471e-01 -1.841e-01 -1.186e-02 7 1.437e-08 2.170e-08 1.982e-08 -9.181e-08 -3.210e-07 1.899e-07 8 -2.306e-08 3.257e-08 -8.500e-09 6.300e-08 2.120e-07 2.915e-07 9 8.284e-10 1.774e-09 -2.507e-08 -3.756e-07 -1.282e-07 -9.758e-09 10 -3.994e-10 4.073e-08 -6.997e-09 1.792e-07 -1.107e-07 -2.975e-07 11 -2.230e-08 8.492e-09 2.075e-08 -2.799e-07 2.012e-07 -1.741e-07 MODE 4: f= 2.140846 Hz, T= 0.467105 sec X- modal participation factor = -1.0321e-12 Y- modal participation factor = 6.9350e-13 Z- modal participation factor = -5.4180e-16 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -4.755e-11 5.403e-11 -5.083e-15 1.425e-11 2.047e-11 1.431e+00 2 -3.816e-11 5.961e-02 1.065e-11 -3.747e-01 3.004e-11 -1.162e-01 3 -5.670e-02 1.842e-02 -9.632e-12 -1.158e-01 -3.563e-01 -1.162e-01 4 -3.504e-02 -4.823e-02 -1.667e-11 3.031e-01 -2.202e-01 -1.162e-01 5 3.504e-02 -4.823e-02 -6.132e-13 3.031e-01 2.202e-01 -1.162e-01 6 5.670e-02 1.842e-02 1.626e-11 -1.158e-01 3.563e-01 -1.162e-01 7 2.991e-09 4.117e-09 1.189e-17 5.790e-07 -4.206e-07 -4.419e-07 8 -2.991e-09 4.117e-09 7.266e-19 5.790e-07 4.206e-07 -4.419e-07 9 -4.840e-09 -1.573e-09 -1.152e-17 -2.211e-07 6.806e-07 -4.419e-07 10 -2.939e-18 -5.089e-09 -7.869e-18 -7.156e-07 -8.257e-17 -4.419e-07 11 4.840e-09 -1.573e-09 6.773e-18 -2.211e-07 -6.806e-07 -4.419e-07 MODE 5: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.7606e-10 Y- modal participation factor = 4.0601e-11 Z- modal participation factor = -7.8064e-15 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -2.265e-08 1.511e-08 -7.305e-14 3.153e-08 3.376e-08 9.892e-08 2 -1.641e-03 1.829e-03 1.149e-02 7.874e-01 -4.489e-02 2.151e-01 3 2.278e-03 -5.950e-04 -9.670e-04 -3.164e-01 -9.616e-01 -2.765e-01 4 -2.308e-03 -7.650e-04 -9.921e-03 -7.110e-01 4.686e-01 2.324e-01 5 1.470e-03 2.113e-03 1.702e-02 2.554e-01 2.678e-01 -9.942e-02 6 1.999e-04 -2.581e-03 -1.762e-02 -1.538e-02 2.702e-01 -7.149e-02 7 2.411e-09 1.254e-08 -8.838e-09 -5.137e-07 2.389e-07 1.751e-07 8 1.043e-08 1.464e-09 1.516e-08 8.285e-08 2.907e-07 -7.493e-08 9 6.358e-09 -8.056e-09 -1.569e-08 1.307e-07 2.224e-07 -5.388e-08 10 -6.276e-09 -1.070e-08 1.023e-08 5.147e-07 -1.259e-07 1.621e-07 11 -1.292e-08 4.755e-09 -8.615e-10 -2.146e-07 -6.261e-07 -2.084e-07 MODE 6: f= 2.205115 Hz, T= 0.453491 sec X- modal participation factor = -1.8001e-09 Y- modal participation factor = 1.3406e-09 Z- modal participation factor = -3.9766e-13 Node X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.438e-07 1.747e-07 -3.726e-12 2.088e-07 1.983e-07 5.452e-07 2 -2.024e-03 -1.482e-03 1.416e-02 -6.385e-01 -5.536e-02 -1.744e-01 3 6.846e-04 2.513e-03 -1.821e-02 -5.108e-02 7.312e-02 1.468e-02 4 1.015e-03 -2.322e-03 1.530e-02 -4.111e-01 3.726e-01 1.507e-01 5 -2.048e-03 1.227e-03 -6.547e-03 7.805e-01 5.355e-01 -2.585e-01 6 2.371e-03 6.360e-05 -4.707e-03 3.202e-01 -9.258e-01 2.675e-01 7 1.117e-08 1.152e-09 1.363e-08 -1.931e-07 3.476e-07 1.135e-07 8 4.666e-09 -1.251e-08 -5.832e-09 5.425e-07 3.055e-07 -1.948e-07 9 -1.187e-08 -6.561e-09 -4.194e-09 2.469e-07 -5.929e-07 2.016e-07 10 -7.740e-09 8.680e-09 1.262e-08 -4.174e-07 -1.552e-07 -1.315e-07 11 3.770e-09 9.238e-09 -1.622e-08 -1.789e-07 9.508e-08 1.107e-08 M A T R I X I T E R A T I O N S: 13 There are 6 modes below 2.205115 Hz. ... All 6 modes were found.