Test No. FV15 is a thin rhombic plate problem. The behavior of distorted thin elements in normal modes analysis is examined using OptiStruct.
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 for the rhombic plate are:
E = 200x109 N/m2, = 0.3 and = 8000 kg/m3
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 |
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F* |
7.938 Hz |
f* |
12.835 Hz |
f* |
17.941 Hz |
|
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Mode 4 |
Mode 5 |
Mode 6 |
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F* |
19.133 Hz |
f* |
24.009 Hz |
f* |
27.922 Hz |
<install_directory>/demos/hwsolvers/optistruct/fv15.fem
NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.