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Clamped Thin Rhombic Plate (Test No. FV15)

Clamped Thin Rhombic Plate (Test No. FV15)

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Clamped Thin Rhombic Plate (Test No. FV15)

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fv15

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

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, ratio = 0.3 and density = 8000 kg/m3

 

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

fv15a

fv15b

fv15c

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

fv15d

fv15e

fv15f

F*
CQUAD4

19.133 Hz
0.9629

f*
CQUAD4

24.009 Hz
1.0339

f*
CQUAD4

27.922 Hz
1.0036

 

File Location

<install_directory>/demos/hwsolvers/optistruct/fv15.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.