Clamped Thick Rhombic Plate



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NAFEMS Benchmark, Test No. FV22:



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image\fv22.gif

Summary

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

Benchmark Model

4-node quad elements with 10x10 mesh configuration are used to model the thick rhombic plate. The x-, y-translation displacements, and z-rotational displacements are fixed for all of the nodes. In addition, the z-translation, x- and y- rotational are fixed for the nodes along the 4 edges. The material properties for the thick plate are:image\evp.gif.

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

image\fv22a.gif

 

image\fv22b.gif

 

image\fv22c.gif

 

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

image\fv22d.gif

 

image\fv22e.gif

 

image\fv22f.gif

 

F*
CQUAD4

283.68 Hz
1.0006

f*
CQUAD4

334.45 Hz
1.1073

F[HOE]
CQUAD4

386.62 Hz
1.0403

Reference

NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.

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