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|Title:||On the use of 2-D orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape|
|Citation:||Liew, K.M.,Lam, K.Y. (1993-02). On the use of 2-D orthogonal polynomials in the Rayleigh-Ritz method for flexural vibration of annular sector plates of arbitrary shape. International Journal of Mechanical Sciences 35 (2) : 129-139. ScholarBank@NUS Repository.|
|Abstract:||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.|
|Source Title:||International Journal of Mechanical Sciences|
|Appears in Collections:||Staff Publications|
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