Accurate Analytical-Type Solutions for the Free Vibration of Simply-Supported Parallelogram Plates

[+] Author and Article Information
D. J. Gorman

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

J. Appl. Mech 58(1), 203-208 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897151 History: Received October 25, 1989; Revised March 16, 1990; Online March 31, 2008


A comprehensive study of the free vibration of simply-supported parallelogram plates is conducted. Solutions are obtained by utilizing the superposition method and by taking advantage of symmetry inherent in the problem. Toward this end a new alternating Lévy-type solution is introduced. Verification tests are conducted by comparing computed eigenvalues with those of rhombic plates in the special case where all plate edges are of equal length. Eigenvalues are stored for eight vibration modes and for a wide range of plate geometry.

Copyright © 1991 by The American Society of Mechanical Engineers
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