OS-V: 0435 Clamped Thick Rhombic Plate

Test No. FV22 The behavior of distorted, thick elements in normal modes analysis is examined using OptiStruct.


fv22
Figure 1.

Benchmark Model

The 4-node quad elements with 10x10 mesh configuration are used to model the thick 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:
E
200 x 109 N/m2
υ
0.3
ρ
8000 kg/m3

Modal Analysis Results

The frequency of each targeted mode is normalized with the closed form solution. The closed form solution is not available for mode 6, the target value for H.O.E. should be used instead.
f*
Closed form solution
Mode 1 Mode 2 Mode 3
fv22a fv22b fv22c
f*

CQUAD4

133.95 Hz

0.9937

f*

CQUAD4

201.41 Hz

1.0382

f*

CQUAD4

265.81 Hz

1.0633

Mode 4 Mode 5 Mode 6
fv22d fv22e fv22f
f*

CQUAD4

283.68 Hz

1.0006

f*

CQUAD4

334.45 Hz

1.1073

F[HOE]

CQUAD4

386.62 Hz

1.0403

Model Files

The model files used in this problem include:
  • <install_directory>/hwsolvers/demos/optistruct/verification/fv22.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.