OS-V: 0430 Cantilevered Thin Square Plate
Test No. FV16 A cantilevered thin square plate of 10m×10m dimension. OptiStruct is used to investigate the frequencies at different modes for different test cases.
図 1. FE Model with Boundary Conditions and Loadcases
| Node No. | Coordinates(m) | |
|---|---|---|
| x | y | |
| 1 | 4.0 | 4.0 |
| 2 | 2.25 | 2.25 |
| 3 | 4.75 | 2.5 |
| 4 | 7.25 | 2.75 |
| 5 | 7.5 | 4.75 |
| 6 | 7.75 | 7.25 |
| 7 | 5.25 | 7.25 |
| 8 | 2.25 | 7.25 |
| 9 | 2.5 | 4.75 |
| Node No. | Coordinates(m) | |
|---|---|---|
| x | y | |
| 1 | 4.0 | 4.0 |
Benchmark Model
Quad8 elements are used to model different test cases with specific grid point locations. The thickness of the plate is 0.05m. The x,y,z displacements and y rotations are zero along y-axis.
The material properties are:
- Property
- 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 NAFEMS closed form
solution.
| Frequencies (Hz) | Mode 1 | Mode 2 | Mode 3 | Mode 4 | Mode 5 | Mode 6 |
|---|---|---|---|---|---|---|
| Reference Solution | 0.421 | 1.029 | 2.582 | 3.306 | 3.753 | 6.555 |
| Test 1 | 0.41 | 0.99 | 2.33 | 3.0 | 3.44 | 5.82 |
| Normalized | 1.026829 | 1.041498 | 1.109107 | 1.100899 | 1.090671 | 1.125708 |
| Test 2 | 0.41 | 0.99 | 2.34 | 3 | 3.44 | 5.83 |
| Normalized | 1.026829 | 1.042553 | 1.103891 | 1.103103 | 1.091306 | 1.125129 |
| Test 3 | 0.39 | 0.92 | 1.84 | 2.47 | 2.93 | 3.57 |
| Normalized | 1.085052 | 1.117264 | 1.403261 | 1.33792 | 1.280887 | 1.83871 |
| Test 4 | 0.39 | 0.91 | 1.86 | 2.44 | 2.82 | 3.25 |
| Normalized | 1.087855 | 1.130769 | 1.391164 | 1.355474 | 1.333215 | 2.015063 |
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:
- FV16Test1.fem
- FV16Test2.fem
- FV16Test3.fem
- FV16Test4.fem
Reference
NAFEMS R0015 - Selected benchmarks for natural frequency analysis