Test No. FV22 is a thick rhombic plate problem. The behavior of distorted, thick elements in normal modes analysis is examined using OptiStruct.
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 for the thick 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. 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 |
|||
F* |
133.95 Hz |
f* |
201.41 Hz |
f* |
265.81 Hz |
|
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Mode 4 |
Mode 5 |
Mode 6 |
|||
F* |
283.68 Hz |
f* |
334.45 Hz |
F[HOE] |
386.62 Hz |
<install_directory>/demos/hwsolvers/optistruct/fv22.fem
NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.