VM181

VM181
Natural Frequency of a Flat Circular Plate

Overview

Reference:R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold Co., New York, NY, 1979, pg. 241, no. 3.
Analysis Type(s):Mode-frequency Analysis (ANTYPE = 2)
Element Type(s):2D 8-Node Structural Solid Elements (PLANE183)
Input Listing:vm181.dat

Test Case

A circular plate with a clamped edge is allowed to vibrate freely. Determine the natural frequencies fi,j for the first three modes of vibration (j = 0, 1, 2) for the first harmonic (i = 0).

Figure 272: Flat Circular Plate Problem Sketch

Flat Circular Plate Problem Sketch

Material PropertiesGeometric Properties
E = 30 x 106 psi
υ = 0.3
ρ = .00073 lb-sec2/in4
t = 0.5 in
a = 17 in

Analysis Assumptions and Modeling Notes

Poisson's ratio defaults to 0.3 and is not defined with the input data.

Results Comparison

TargetMechanical APDLRatio
f0,0, Hz172.64172.791.001
f0,1, Hz671.79676.801.007
f0,2, Hz1505.071530.151.016