OS-V: 0200 Simply-Supported Thin Square Plate
Test No. 13OptiStruct is used to investigate the repeated eigenvalues.
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.
The material properties are:
- Material Properties
- Value
- Young’s Modulus
- 200 x 109 N/m2
- Poisson’s Ratio
- 0.3
- Density
- 8000 kg/m3
Modal Analysis Results
The frequency of each targeted mode is normalized with the closed form solution.
f*- Closed form solution
| Mode 1 | Mode 2 and 3 | Mode 4 | |||
|---|---|---|---|---|---|
|
|
|
|||
f* |
2.377 Hz | f* |
5.942 Hz | f* |
9.507 Hz |
| HOE | 1.021926053 | HOE | 1.066977913 | HOE | 1.076061121 |
| LOE | 1.013646055 | LOE | 1.015552897 | LOE | 1.053290494 |
| Mode 5 and 6 | Mode 7 and 8 | ||
|---|---|---|---|
|
|
||
f* |
11.884 Hz | f* |
15.449 Hz |
| HOE | 1.176750173 | HOE | 1.175007606 |
| LOE | 1.002869198 | LOE | 1.065889334 |
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。
The model files used in this problem include:
- Test13HOE.fem
- Test13LOE.fem
Reference
NAFEMS R0015 - Selected benchmarks for natural frequency analysis