Frequency Analysis of a Simply Supported Beam

Description

Determine the natural frequencies of a simply supported 80" long beam with 2"X2" square cross-section. Consider modes in the XY plane only.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_9.SLDPRT and open the file.

Study Type

Frequency.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 2 in - Thick formulation.

Material Properties

Modulus of elasticity = 30,000,000 psi, Poisson's ratio = 0.3, Density = 0.282072 lb/in3.

Modeling Hints

Use the Intel Direct sparse solver.

Results

Frequency No. Theory (Hz) SOLIDWORKS Simulation (Hz)
1 28.78 28.63
2 115.12 113.57
3 259.00 251.1

Reference

Thomson, W. T., “Vibration Theory and Applications,” Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 2nd printing, 1965, p. 18.