A General Analytical Solution for Free Vibration of Rectangular Plates Resting on Fixed Supports and With Attached Masses

[+] Author and Article Information
R. K. Singal

Canadian Space Agency, Ottawa, Canada K2H 8S2

D. J. Gorman

Department of Mechanical Engineering, University of Ottawa, Ottawa, Canada K1N 6N5

J. Electron. Packag 114(2), 239-245 (Jun 01, 1992) (7 pages) doi:10.1115/1.2906424 History: Received June 30, 1991; Online April 28, 2008


A comprehensive analytical procedure based on the superposition method is described for establishing the free vibration frequencies and mode shapes of thin plates resting on rigid point supports and with attached masses. Effects of rotary inertia of the attached masses are incorporated into the analysis and are shown to be highly significant. Results of an extensive experimental program are reported and very good agreement is demonstrated between theory and experiment. The analytical procedure has application in numerous contemporary industrial problems, in particular, in the design of solar panels for space vehicles and in the field of electronic packaging.

Copyright © 1992 by The American Society of Mechanical Engineers
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