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FREE-VIBRATION ANALYSIS OF RIGHT TRIANGULAR PLATES WITH VARIABLE THICKNESS

โœ Scribed by T. SAKIYAMA; M. HUANG

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
233 KB
Volume
234
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

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 de#ection 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.

2000 Academic Press

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