Free Vibration Analysis of Thick Superelliptical Plates
Publication: Journal of Engineering Mechanics
Volume 124, Issue 2
Abstract
This paper investigates the free vibration of thick plates with rounded corners subject to different boundary conditions. The periphery of this class of plates is defined by a superelliptical function, and the degree of roundedness can be adjusted by a superelliptical power to acquire the level of stress distribution desired. The Ritz method is employed to derive the governing eigenvalue equation, where the Ritz function consists of polynomials that include a basic function to impose the various boundary constraints. A higher-order shear deformation plate theory is used to account for the effects of transverse shear deformation. The numerical accuracy is ascertained by studying the convergence characteristics of the plate vibration frequencies and, where possible, by comparing the solutions with existing literature. In this paper, the results presented include sensitivities of free vibration frequencies to variations in geometry, boundary constraints and thickness, and also their interactions.
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Published In
Journal of Engineering Mechanics
Volume 124 • Issue 2 • February 1998
Pages: 137 - 145
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
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