pyramid-shaped frame --- static and dynamic analysis 5 4 % number of joints and number of members % joint x y z r 1 0.0 0.0 100.0 0.0 2 -120.0 -90.0 0.0 0.0 3 120.0 -90.0 0.0 0.0 4 120.0 90.0 0.0 0.0 5 -120.0 90.0 0.0 0.0 % m j1 j2 Ax Asy Asz Jxx Iyy Izz E G p 1 1 2 10. 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 2 1 3 10. 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 3 1 4 10. 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 4 1 5 10. 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 1 % 1: include shear deformation 0 % 1: include geometric stiffness /tmp/exB-msh % mesh data file name exB.plt % plot file name 10.0 % exaggerate mesh deformations 1 % 1: stiffness analysis, 0: data check only 1 % number of loaded joints %J Fx Fy Fz Mxx Myy Mzz 1 10.00 -20.00 -280 0.0 0.0 0.0 0 % number of distributed loads 0 % number of internal concentrated loads 0 % number of members with temperature loads 4 % number of joints with reactions % J x y z xx yy zz 1= fixed, 0=free 2 1 1 1 1 1 1 3 1 1 1 1 1 1 4 1 1 1 1 1 1 5 1 1 1 1 1 1 0 % number of joints with support settlements 6 % number of desired dynamic modes of vibration 1 % 1: subspace Jacobi 2: Stodola 0 % 0: consistent mass ... 1: lumped mass matrix /tmp/exB-m % mode shape data file 1e-4 % mode shape tolerance 0.0 % shift value ... for unrestrained structures 1 7.e-5 0.0 % beam numbers, density, and extra beam mass 2 7.e-5 0.0 3 7.e-5 0.0 4 7.e-5 0.0 0 % number of joints with extra inertia % j M Ixx Iyy Izz - joints and concentrated mass and inertia 6 % number of modes to animate 1 2 3 4 5 6 % modes to animate 1 % pan during animation ________________________________________________________________________________ FRAME3DD version: 20080314 http://www.duke.edu/~hpgavin/frame/ GPL Copyright (C) 1992-2008, 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 ________________________________________________________________________________ pyramid-shaped frame --- static and dynamic analysis Fri Mar 14 12:43:45 2008 ________________________________________________________________________________ JOINTS: 5 MEMBERS: 4 FIXED JOINTS: 4 PRESCRIBED DISPLACEMENTS: 0 JOINT LOADS: 1 UNIFORM MEMBER LOADS: 0 CONCENTRATED MEMBER LOADS: 0 For 2D problems, the Y-axis is vertical. For 3D problems, the Z-axis is vertical. ________________________________________________________________________________ J O I N T D A T A R E S T R A I N T S Joint X Y Z radius Fx Fy Fz Mx My Mz 1 0.000000 0.000000 100.000000 0.000 0 0 0 0 0 0 2 -120.000000 -90.000000 0.000000 0.000 1 1 1 1 1 1 3 120.000000 -90.000000 0.000000 0.000 1 1 1 1 1 1 4 120.000000 90.000000 0.000000 0.000 1 1 1 1 1 1 5 -120.000000 90.000000 0.000000 0.000 1 1 1 1 1 1 M E M B E R D A T A (local) Member J1 J2 Ax Asy Asz Jxx Iyy Izz E G roll 1 1 2 10.0 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 2 1 3 10.0 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 3 1 4 10.0 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 4 1 5 10.0 8.0 8.0 500.0 300.0 200.0 1000.0 700.0 0 Include shear deformations. Neglect geometric stiffness. J O I N T L O A D S + E Q U I V A L E N T J O I N T L O A D S (global) Joint Fx Fy Fz Mxx Myy Mzz 1 10.000 -20.000 -280.000 0.000 0.000 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 J O I N T D I S P L A C E M E N T S (global) Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 0.101193 -0.356839 -4.003471 0.002076 0.000520 0.0 M E M B E R E N D F O R C E S (local) Member Joint Nx Vy Vz Txx Myy Mzz 1 1 129.329c 0.100 -2.008 -3.187 182.345 7.806 1 2 -129.329c -0.100 2.008 3.187 179.583 10.235 2 1 136.802c -0.064 -1.999 2.180 182.925 -4.902 2 3 -136.802c 0.064 1.999 -2.180 177.394 -6.562 3 1 117.038c -0.100 -2.006 3.187 179.480 -7.806 3 4 -117.038c 0.100 2.006 -3.187 182.242 -10.235 4 1 109.566c 0.064 -2.015 -2.180 178.900 4.902 4 5 -109.566c -0.064 2.015 2.180 184.431 6.562 R E A C T I O N S (global) Joint Fx Fy Fz Mxx Myy Mzz 2 85.136 63.977 73.409 101.086 -148.664 6.748 3 -90.136 67.681 77.547 102.073 145.187 -4.251 4 -77.075 -57.681 66.591 -116.009 140.796 -6.748 5 72.075 -53.977 62.453 -115.022 -144.273 4.251 R M S E Q U I L I B R I U M E R R O R: 1.125e-16 M O D A L A N A L Y S I S R E S U L T S Total Mass: 5.047772e-01 Structural Mass: 5.047772e-01 J O I N T M A S S E S (diagonal of the mass matrix) (global) Joint X-mass Y-mass Z-mass X-inrta Y-inrta Z-inrta 1 1.79213e-01 1.82997e-01 1.81959e-01 9.17335e+01 1.20839e+02 1.11687e+02 2 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 4 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 5 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 3.24803e+02 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-04 MODE 1: f= 1.816585 Hz, T= 0.550484 sec X- modal participation factor = 1.3449e-08 Y- modal participation factor = -1.7942e-08 Z- modal participation factor = 1.6169e-10 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -5.996e-09 5.963e-09 -6.109e-11 2.468e-10 1.021e-10 9.457e-02 2 8.412e-07 -1.122e-06 2.470e-13 2.694e-05 2.021e-05 -4.799e-05 3 8.412e-07 1.122e-06 -8.797e-13 -2.694e-05 2.020e-05 -4.799e-05 4 -8.412e-07 1.122e-06 2.785e-13 -2.694e-05 -2.020e-05 -4.799e-05 5 -8.412e-07 -1.122e-06 8.659e-13 2.694e-05 -2.020e-05 -4.799e-05 MODE 2: f= 1.927166 Hz, T= 0.518897 sec X- modal participation factor = -4.8240e-11 Y- modal participation factor = 5.2790e-01 Z- modal participation factor = -1.4977e-08 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 1.097e-08 7.745e-01 9.956e-09 7.860e-02 5.544e-10 6.081e-10 2 3.546e-08 1.259e-06 -7.566e-07 -4.435e-05 2.275e-05 3.558e-05 3 -3.545e-08 1.259e-06 -7.566e-07 -4.434e-05 -2.274e-05 -3.557e-05 4 3.545e-08 1.259e-06 7.566e-07 -4.434e-05 2.274e-05 -3.557e-05 5 -3.546e-08 1.259e-06 7.566e-07 -4.434e-05 -2.274e-05 3.557e-05 MODE 3: f= 2.008918 Hz, T= 0.497780 sec X- modal participation factor = -4.3969e-01 Y- modal participation factor = 1.3859e-09 Z- modal participation factor = 2.8423e-08 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -3.665e-01 -1.840e-08 -1.690e-08 1.112e-09 8.214e-02 5.006e-10 2 -1.202e-06 -1.798e-08 1.172e-06 2.585e-05 -6.011e-05 2.550e-05 3 -1.202e-06 1.798e-08 -1.171e-06 -2.585e-05 -6.011e-05 2.549e-05 4 -1.202e-06 -1.798e-08 -1.171e-06 2.585e-05 -6.011e-05 -2.549e-05 5 -1.202e-06 1.798e-08 1.171e-06 -2.585e-05 -6.011e-05 -2.549e-05 MODE 4: f= 3.119394 Hz, T= 0.320575 sec X- modal participation factor = 8.5668e-08 Y- modal participation factor = 7.1311e-08 Z- modal participation factor = 5.9565e-01 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -1.043e-07 -1.580e-07 2.343e+00 1.517e-08 -1.295e-08 -6.892e-11 2 3.252e-07 2.439e-07 3.134e-06 6.239e-05 -8.319e-05 -1.465e-10 3 -3.250e-07 2.438e-07 3.133e-06 6.236e-05 8.315e-05 -1.166e-09 4 -3.250e-07 -2.437e-07 3.133e-06 -6.236e-05 8.315e-05 -1.601e-10 5 3.250e-07 -2.437e-07 3.133e-06 -6.236e-05 -8.314e-05 1.184e-09 MODE 5: f= 4.021047 Hz, T= 0.248691 sec X- modal participation factor = 4.3050e-07 Y- modal participation factor = 2.7858e-01 Z- modal participation factor = 2.5935e-06 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 -2.868e-07 2.962e+00 -7.805e-07 -1.118e-01 -5.346e-08 1.296e-08 2 6.190e-07 1.005e-06 5.548e-06 8.010e-05 -1.454e-04 1.665e-05 3 -6.180e-07 1.003e-06 5.540e-06 8.000e-05 1.452e-04 -1.661e-05 4 6.182e-07 1.003e-06 -5.540e-06 8.000e-05 -1.452e-04 -1.661e-05 5 -6.181e-07 1.003e-06 -5.540e-06 8.001e-05 1.452e-04 1.661e-05 MODE 6: f= 4.706763 Hz, T= 0.212460 sec X- modal participation factor = 4.1314e-01 Y- modal participation factor = 1.0282e-06 Z- modal participation factor = 6.3788e-06 Joint X-dsp Y-dsp Z-dsp X-rot Y-rot Z-rot 1 2.848e+00 -5.367e-07 -1.347e-06 1.264e-07 7.391e-02 -5.890e-08 2 4.162e-06 8.268e-07 7.098e-06 1.339e-04 -8.991e-05 -6.721e-05 3 4.149e-06 -8.247e-07 -7.078e-06 -1.335e-04 -8.971e-05 -6.699e-05 4 4.149e-06 8.249e-07 -7.078e-06 1.335e-04 -8.968e-05 6.699e-05 5 4.149e-06 -8.243e-07 7.078e-06 -1.335e-04 -8.969e-05 6.700e-05 M A T R I X I T E R A T I O N S: 2 There are 6 modes below 4.706764 Hz. ... All 6 modes were found.