Axisymmetric Vibrations of Circular Plates on Tensionless Elastic Foundations

[+] Author and Article Information
Zekai Celep

Technical University, 80626 Maslak, Istanbul, Turkey

Doǧan Turhan

Department of Mechanical Engineering, Karadeniz Technical University, 61080 Trabzon, Turkey

J. Appl. Mech 57(3), 677-681 (Sep 01, 1990) (5 pages) doi:10.1115/1.2897076 History: Received November 03, 1986; Revised February 10, 1988; Online March 31, 2008


The present study deals with the axisymmetric vibrations of a circular plate subjected to a concentrated dynamic load at its center. The plate is assumed to be supported on an elastic foundation that reacts in compression only. At first the static solution is obtained and contact radius is determined. Later, this is used as an initial configuration of the forced vibrations. The forced vibrations are assumed to be due to the time dependency of the load. The solution is carried out by Galerkin’s method and by using modal functions of the completely free plate. Numerical results are illustrated in figures for stepwise change of the loading.

Copyright © 1990 by The American Society of Mechanical Engineers
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