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Advances in Acoustics and Vibration
Volume 2016 (2016), Article ID 1492051, 10 pages
http://dx.doi.org/10.1155/2016/1492051
Research Article

Forced Response of Polar Orthotropic Tapered Circular Plates Resting on Elastic Foundation

Department of Mathematics, AlBaha University, Al Baha 1988, Saudi Arabia

Received 10 April 2016; Accepted 9 June 2016

Academic Editor: Mohammad Tawfik

Copyright © 2016 A. H. Ansari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Forced axisymmetric response of polar orthotropic circular plates of linearly varying thickness resting on Winkler type of elastic foundation has been studied on the basis of classical plate theory. An approximate solution of problem has been obtained by Rayleigh Ritz method, which employs functions based upon the static deflection of polar orthotropic circular plates. The effect of transverse loadings has been studied for orthotropic circular plate resting on elastic foundation. The transverse deflections and bending moments are presented for various values of taper parameter, rigidity ratio, foundation parameter, and flexibility parameter under different types of loadings. A comparison of results with those available in literature shows an excellent agreement.