OS-V: 0375 Simply-Supported Thick Square Plate Periodic Forced Vibration Response
Test 21P OptiStruct is used to investigate the Peak Displacement in z-direction and extreme fiber bending stress at the center of the plate.

図 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
The 2nd order and 1st order quad elements are used to model the square plate of thickness 0.05m. The z-rotation and x, y translations are fixed for all the nodes, z-translation is fixed along all four edges, x-rotation is fixed along the edge x=0 and x=10 and y-rotation is fixed along the edge y=0 and y=10. A steady-state harmonic forced vibration F=F0 (sin ωt-sin 3ωt) is induced in the z-direction. (F0=106 N/m2 over whole plate, ω=2πf, f=20 Hz). For modal analysis solution, a damping ratio of 0.02 is applied in all 16 modes and for direct solution, Rayleigh damping factor α1=5.772 and α2=6.929×10-5 are given.
- Material Properties
- Value
- Young’s Modulus
- 200 × 109 N/m2
- Poisson’s Ratio
- 0.3
- Density
- 8000 kg/m3
Frequency Response Summary
f*
- Closed form solution
Peak Displacement (mm) | Peak Stress (N/mm2) | |
---|---|---|
Reference Solution | 4.929 | 67.67 |
HOE: | ||
Direct Solution | 5.134 | 79.26 |
Normalized | 0.960070121 | 0.853772395 |
Modal Solution | 5.134 | 79.291 |
Normalized | 0.960070121 | 0.8534386 |
LOE: | ||
Direct Solution | 5.016 | 65.48 |
Normalized | 0.982655502 | 1.033445327 |
Modal Solution | 5.018 | 65.595 |
Normalized | 0.98226385 | 1.031633509 |
Model Files
必要なモデルファイルのダウンロードについては、モデルファイルへのアクセスを参照してください。
- Test21PHOED.fem
- Test21PHOEM.fem
- Test21PLOED.fem
- Test21PLOEM.fem
Reference
NAFEMS R0016 - Selected Benchmarks for Forced Vibration, J Maguire, D J, Dawswell, L Gould 1989