On the use of 2-D orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape

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Original languageEnglish
Pages (from-to)129-139
Journal / PublicationInternational Journal of Mechanical Sciences
Issue number2
Publication statusPublished - Feb 1993
Externally publishedYes


This paper presents a simple, computationally efficient and relatively accurate numerical model for the study of free vibration behaviour of sectorial plates of arbitrary shape. The approach is developed based on the Rayleigh-Ritz method with a set of 2-D orthogonal polynomials as the admissible displacement function where the governing eigenvalue equation is derived by minimizing the energy functional with respect to each of the assumed unknown coefficients. In this paper, several examples are solved and the results obtained are compared with the established solutions to demonstrate the accuracy and flexibility of the present method. New results are also determined for several sectorial plates with different geometrical shapes and combinations of boundary conditions. © 1993.

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