Clamped Thin Rhombic Plate



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NAFEMS Benchmark, Test FV15:



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image\fv15.gif

Summary

Test No. FV15 is a thin rhombic plate problem. The behavior of distorted thin elements in normal modes analysis is examined using OptiStruct.

Benchmark Model

4-node quad elements with 12x12 mesh configuration are used to model the thin 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 rhombic plate are:image\evp.gif.

Modal Analysis Results

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

image\fv15a.gif

 

image\fv15b.gif

 

image\fv15c.gif

 

F*
CQUAD4

7.938 Hz
0.9798

f*
CQUAD4

12.835 Hz
1.0079

f*
CQUAD4

17.941 Hz
1.0182

 

 

 

 

 

 

Mode 4

Mode 5

Mode 6

image\fv15d.gif

 

image\fv15e.gif

 

image\fv15f.gif

 

F*
CQUAD4

19.133 Hz
0.9629

f*
CQUAD4

24.009 Hz
1.0339

f*
CQUAD4

27.922 Hz
1.0036

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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