Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/58883
Title: Use of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates
Authors: Lam, K.Y. 
Liew, K.M. 
Chow, S.T. 
Issue Date: 22-Apr-1992
Source: Lam, K.Y.,Liew, K.M.,Chow, S.T. (1992-04-22). Use of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates. Journal of Sound and Vibration 154 (2) : 261-269. ScholarBank@NUS Repository.
Abstract: A general numerical method is developed to estimate the natural frequencies and the mode shapes for transverse vibration of circular and elliptical plates. A set of orthogonal plate functions is used as the admissible functions in the Rayleigh-Ritz approach to approximate the eigenvalues and eigenvectors. New starting functions are proposed which are used in a recurrence formula to generate the higher terms in the set of orthogonal plate functions to approximate the mode shapes for circular and elliptical plates. These functions are general and easily formed for circular and elliptical plates having classical boundary conditions. Several numerical examples are solved to demonstrate the applicability and the accuracy of the new proposed plate functions. © 1992.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/58883
ISSN: 0022460X
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

39
checked on Dec 15, 2017

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.