OS-V: 0415 Deep Simply-Supported Beam
Test No. FV5 OptiStruct tests the repeated eigenvalues, shear deformation, and rotary inertia. The possibility of missing extensional modes is also investigated.
図 1. FE Model with Boundary Conditions and Loadcases
Benchmark Model
The 2-node beam elements are used to model the simply-supported beam which consists of five elements. The displacements in x, y, and z direction, as well as the rotation in x direction are fixed at the end A. In addition, the displacements in y and z direction are constrained at end B.
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.
f*- Closed form solution.
| Modes 1 and 2 Flexural | Mode 3 Torsional | Mode 4 Extensional | |||
|---|---|---|---|---|---|
f*CBEAM 42.649 Hz |
42.649 Hz 1.0124 |
f*CBEAM 77.542 Hz |
77.542 Hz 0.9157 |
f*CBEAM |
125.00 Hz 1.0000 |
| Modes 5 and 6 Flexural | Mode 7 Torsional | Modes 8 and 9 Flexural | |||
|---|---|---|---|---|---|
f*CBEAM 42.649 Hz |
148.31 Hz 1.0409 |
f*CBEAM |
233.10 Hz 0.8840 |
f*CBEAM |
284.55 Hz 1.0725 |
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:
fv5.fem
Reference
NAFEMS R0015 - Selected benchmarks for natural frequency analysis