Free-Vibration Analysis of Right Triangular Plates with Variable Thickness

ISSN： 0022-460X

Source： Journal of Sound and Vibration, Vol.234, Iss.5, 2000-07, pp. : 841-858

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Abstract

An approximate method for analyzing the free vibration of right triangular plates with arbitrary variable thickness and various boundary conditions is proposed. In this paper, a right triangular plate is considered as a kind of rectangular plate with non-uniform thickness. Therefore, the free-vibration characteristics of any right triangular plate are obtained by analyzing the equivalent rectangular plate with non-uniform thickness. The approximate method is based on the Green function of an equivalent rectangular plate. The Green function of a rectangular plate with arbitrary variable thickness is obtained as a discrete-form solution for deflection of the plate with a concentrated load. By applying the Green function, the free-vibration problem of plate is translated into the eigenvalue problem of matrix.