A Set of Orthogonal Plate Functions for Flexural Vibration of Regular Polygonal Plates

[+] Author and Article Information
K. M. Liew, K. Y. Lam

Department of Mechanical & Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 0511, Republic of Singapore

J. Vib. Acoust 113(2), 182-186 (Apr 01, 1991) (5 pages) doi:10.1115/1.2930167 History: Received October 01, 1989; Online June 17, 2008


A computationally efficient and very accurate numerical method is proposed for vibration analysis of regular polygonal plates with any combinations of clamped, simply-supported and free boundary conditions. The method involves the use of two-dimensional orthogonal polynomials generated by the Gram-Schmidt recurrence procedure. For the cases of simply supported and fully clamped hexagonal and octagonal plates, the results obtained agreed very well with those existing in the literature. The frequencies and mode shapes for several hexagonal and octagonal plates subjected to mixed boundary conditions are also presented.

Copyright © 1991 by The American Society of Mechanical Engineers
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