Vibration of thick skew plates based on Mindlin shear deformation plate theory

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)39-69
Journal / PublicationJournal of Sound and Vibration
Volume168
Issue number1
Publication statusPublished - 1 Jan 1993
Externally publishedYes

Abstract

The free flexural vibration of thick skew plates is considered. The total energy functional is derived based on the first order shear deformation plate theory by Mindlin. The newly developed pb-2 Rayleigh-Ritz method is applied to obtain the solution. The method features the versatile pb-2 Ritz functions for approximating the deflection and rotation functions which comprise the product of (1) a two-dimensional polynomial function (p-2) and (2) a basic function (b). The basic function is the key to ensure the automatic satisfaction of the geometric boundary conditions at the outset, since it is formed from the product of the boundary equations raised to appropriate powers. Natural frequency parameters for skew Mindlin plates with different combinations of boundary conditions are presented. The solutions, where possible, are verified by comparisons with those available in the open literature. The effect of the Poisson ratio on vibration frequencies of plates with free edges is also investigated.

Citation Format(s)

Vibration of thick skew plates based on Mindlin shear deformation plate theory. / Liew, K. M.; Xiang, Y.; Kitipornchai, S.; Wang, C. M.

In: Journal of Sound and Vibration, Vol. 168, No. 1, 01.01.1993, p. 39-69.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review