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RESEARCH PAPERS

Vibrations of Rectangular Plates With Nonuniform Elastic Edge Supports

[+] Author and Article Information
A. W. Leissa

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio 43210

P. A. A. Laura, R. H. Gutierrez

Instituto de Mecanica Aplicada, Base Naval Puerto Belgrano, 8111, Argentina

J. Appl. Mech 47(4), 891-895 (Dec 01, 1980) (5 pages) doi:10.1115/1.3153809 History: Received May 01, 1980; Revised June 01, 1980; Online July 21, 2009

Abstract

Two methods are introduced for the solution of free vibration problems of rectangular plates having nonuniform, elastic edge constraints, a class of problems having no previous solutions in the literature. One method uses exact solutions to the governing differential equation of motion, and the other is an extension of the Ritz method. Numerical results are presented for problems having parabolically varying rotational constraints.

Copyright © 1980 by ASME
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