Frequency Analysis of a Simply Supported Plate

Description

Calculate the first natural frequency of a simply supported rectangular plate of dimensions 40"X40"X1".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_2.SLDPRT and open the file.

Study Type

Frequency.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 1 in - Thin formulation.

Material Properties

Modulus of elasticity = 3 X 107 psi, Poisson's ratio = 0.3, Density = 115.866 lb/in3.

Modeling Hints

The first mode is symmetrical and a quarter of the model could have been used.

Results

Frequency No. Theory (Hz) SOLIDWORKS Simulation (Hz)
Draft mesh High quality mesh
1 5.940 5.935 5.937

Reference

Leissa, A.W. “Vibration of Plates,” NASA, sp-160, p. 44.