A Rayleigh-Ritz approach to transverse vibration of isotropic and anisotropic trapezoidal plates using orthogonal plate functions

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

78 Scopus Citations
View graph of relations



Original languageEnglish
Pages (from-to)189-203
Journal / PublicationInternational Journal of Solids and Structures
Issue number2
Publication statusPublished - 1991
Externally publishedYes


To overcome the lack of a more general method for free vibration analysis of trapezoidal plates, a computationally efficient and highly accurate Rayleigh-Ritz approach with the newly-developed orthogonal plate functions is proposed to solve these problems with any combination of clamped, simply-supported and free edge support conditions. The deflection of the plate is approximated by a set of two-dimensional orthogonal plate functions, generated using the Gram-Schmidt procedure, which expresses the entire plate domain into two implicitly related variables. In the present paper, the effects of the fibre orientation on the vibrational behaviour of the plates are considered. The numerical results for isotropic and anisotropic trapezoidal plates are presented. Where possible, the numerical results are verified with other existing values in the literature. © 1990.