HyperWorks Solvers

Deep Simply-Supported Beam (Test No. FV5)

Deep Simply-Supported Beam (Test No. FV5)

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Deep Simply-Supported Beam (Test No. FV5)

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fv5

Summary

Test No. FV5 is a simply-supported beam problem. OptiStruct tests the repeated eigenvalues, shear deformation, and rotary inertia. The possibility of missing extensional modes is also investigated.

 

Benchmark Model

The 2-node beam elements are used to model the simply-supported beam which consists of five elements. The displacements in x, y, and z direction, as well as the rotation in x direction are fixed at the end A. In addition, the displacements in y and z direction are constrained at end B. The material properties for the beam 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

Modes 1 and 2
Flexural

Mode 3
Torsional

Mode 4
Extensional

f*
CBEAM

42.649 Hz
1.0124

f*
CBEAM

77.542 Hz
0.9157

F*
CBEAM

125.00 Hz
1.0000

 

Modes 5 and 6
Flexural

Mode 7
Torsional

Modes 8 and 9
Flexural

f*
CBEAM

148.31 Hz
1.0409

f*
CBEAM

233.10 Hz
0.8840

f*
CBEAM

284.55 Hz
1.0725

 

File Location

<install_directory>/demos/hwsolvers/optistruct/fv5.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.