Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/58883
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dc.titleUse of two-dimensional orthogonal polynomials for vibration analysis of circular and elliptical plates
dc.contributor.authorLam, K.Y.
dc.contributor.authorLiew, K.M.
dc.contributor.authorChow, S.T.
dc.date.accessioned2014-06-17T05:19:27Z
dc.date.available2014-06-17T05:19:27Z
dc.date.issued1992-04-22
dc.identifier.citationLam, 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.
dc.identifier.issn0022460X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/58883
dc.description.abstractA 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.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMECHANICAL & PRODUCTION ENGINEERING
dc.description.sourcetitleJournal of Sound and Vibration
dc.description.volume154
dc.description.issue2
dc.description.page261-269
dc.description.codenJSVIA
dc.identifier.isiutNOT_IN_WOS
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