OS-V: 0425 Clamped Thin Rhombic Plate
Test No. FV15 The behavior of distorted thin elements in normal modes analysis is examined using OptiStruct.
図 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
The 4-node quad elements with 12x12 mesh configuration are used to model the thin rhombic plate. The x-translation, y-translation displacements, and z-rotational displacements are fixed for all of the nodes. In addition, the z-translation, x-rotational and y-rotational are fixed for the nodes along the four edges.
The material properties are:
- Property
- Value
- E
- 200 x 109 N/m2
- 0.3
- 8000 kg/m3
Modal Analysis Results
The frequency of each targeted mode is normalized with the closed form solution. If a closed form
solution is not available, the target values for H.O.E. are used instead. All
benchmarked results are normalized with target values.
f*- Closed form solution
| Mode 1 | Mode 2 | Mode 3 | |||
|---|---|---|---|---|---|
 |
|
 |
|||
f*CQUAD4 |
7.938 Hz 0.9798 |
f*CQUAD4 |
12.835 Hz 1.0079 |
f*CQUAD4 |
17.941 Hz 1.0182 |
| Mode 4 | Mode 5 | Mode 6 | |||
|---|---|---|---|---|---|
 |
|
 |
|||
f*CQUAD4 |
19.133 Hz 0.9629 |
f*CQUAD4 |
24.009 Hz 1.0339 |
f*CQUAD4 |
27.922 Hz 1.0036 |
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 file used in this problem includes:
fv15.fem
Reference
NAFEMS R0015 - Selected benchmarks for natural frequency analysis