In the present work a study of free vibration of thin isotropic rectangular plates with various edge conditions is conducted. This study involves the obtaining of natural frequencies by solving the mathematical model that governs the vibration behavior of the plate using a Galerkin-based finite element method. Cubic quadrilateral serendipity subparametric elements with twelve degrees of freedom are used in this analysis. Even though the order of polynomial used is the lowest possible, the effectiveness of the method for calculating the natura l frequencies accurately is demonstrated by comparing the solution obtained against the existing analytical results. The effect of the aspect ratio, the number of elements, and the number of sampling points on the accuracy of the solution is also presented.
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[v1] 2012-08-19 10:42:05
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