HyperWorks Solvers

Simply-Supported Solid Square Plate (Test No. FV52)

Simply-Supported Solid Square Plate (Test No. FV52)

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Simply-Supported Solid Square Plate (Test No. FV52)

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fv52

Summary

Test No. FV52 is a well-established solid square plate, which contains three rigid modes with the given boundary condition. The test examines the performance of OptiStruct normal modes analysis on 3D solid elements.

 

Benchmark Model

The HEXA 8-node and HEXA 20-node solid elements are used in test FV52. An 8x8x3 mesh configuration is used for HEXA 8-node elements, and a 4x4x1 mesh configuration is used with HEXA 20-node elements. The z-directional displacement is constrained at Z = -5m plane along the four edges of the plate. The material properties for the solid 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.

f* = closed form solution

Mode 4

Modes 5 and 6

Mode 7

fv52a_high

fv52b_high

fv52c_high

f*
HEXA20
HEXA8

45.897 Hz
0.9760
0.9874

f*
HEXA20
HEXA8

109.44 Hz
1.0101
1.0413

f*
HEXA20
HEXA8

167.89 Hz
1.0072
1.0322

 

Mode 8

Modes 9 and 10

 

fv52d_high

fv52e_high

f*
HEXA20
HEXA8

193.59 Hz
1.0017
1.0164

f*
HEXA20
HEXA8

206.19 Hz
1.0022
1.0164

 

File Location

<install_directory>/demos/hwsolvers/optistruct/fv52_HOE.fem
<install_directory>/demos/hwsolvers/optistruct/fv52_LOE.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.