OS-V: 0440 Cantilevered Tapered Membrane
Test No. FV32 A tapered membrane problem with irregular mesh. The geometry and mesh symmetry are maintained along the x-direction. The shear behavior of membrane elements in the Normal Modes Analysis is examined using OptiStruct.
Benchmark Model
The 4-node quad elements with 16x8 mesh configuration are used in test FV32. The displacements in z direction are fixed on all nodes and the x- and y-translation displacements are fixed for the nodes along the y-axis.
The material properties are:
- 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
| Mode 1 | Mode 2 | Mode 3 | |||
|---|---|---|---|---|---|
 |
|
 |
|||
f*CQUAD4 |
44.623 Hz 0.9092 |
f*CQUAD4 |
130.03 Hz 1.0265 |
f*CQUAD4 |
162.70 Hz 0.9104 |
| Mode 4 | Mode 5 | Mode 6 | |||
|---|---|---|---|---|---|
 |
|
 |
|||
f*CQUAD4 |
246.05 Hz 1.0766 |
f*CQUAD4 |
379.90 Hz 1.0070 |
f*CQUAD4 |
391.44 Hz 1.0479 |
Model Files
The model files used in this problem include:
- <install_directory>/hwsolvers/demos/optistruct/verification/fv32.fem
Reference
NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.