Summary

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Test No. FV32 is a tapered membrane problem with irregular mesh. The geometry and mesh symmetry are maintained along the x-direction. The shear behavior of membrane elements in the normal modes analysis is examined using OptiStruct.

 

Benchmark Model

The 4-node quad elements with 16x8 mesh configuration are used in test FV32. The displacements in z direction are fixed on all nodes and the x- and y-translation displacements are fixed for the nodes along the y-axis. The material properties for the membrane are:

E = 200x109 N/m2, = 0.3 and = 8000 kg/m3

 

Modal Analysis Results

The frequency of each targeted mode is normalized with the closed form solution.

f* = closed form solution

 

File Location

<install_directory>/demos/hwsolvers/optistruct/fv32.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.