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Technical Briefs

A Novel and Accurate Ritz Formulation for Free Vibration of Rectangular and Skew Plates

[+] Author and Article Information
S. A. Eftekhari, A. A. Jafari

Department of Mechanical Engineering,  K. N. Toosi University, P. O. Box 19395-1999,19697 Tehran, Iran

J. Appl. Mech 79(6), 064504 (Sep 17, 2012) (5 pages) doi:10.1115/1.4006804 History: Received June 08, 2011; Revised April 24, 2012; Posted May 09, 2012; Published September 17, 2012; Online September 17, 2012

One of the major limitations of the conventional Ritz method is its difficulty in implementation to the differential equations with natural boundary conditions at the boundary points/lines. Plates involving free edges/corners and irregularly shaped plates are two historical and classical examples which show that their solutions cannot be accurately approximated by the conventional Ritz method. To solve this difficulty, a simple, novel, and accurate Ritz formulation is introduced in this paper. It is revealed that the proposed methodology can produce much better accuracy than the conventional Ritz method for rectangular plates involving free edges/corners and skew plates.

Copyright © 2012 by American Society of Mechanical Engineers
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