Abstract
Accurate analytical-solutions are obtained for the free vibration of Mindlin plates resting on point supports symmetrical distribution about the plate axis. By using the method of superimposition, it is shown that solutions which satisfy both the differential equation and the boundary conditions are obtained. The rectangular plates under consideration are as follows: a) all edges free and b) all edges simple support. Eigenvalues of four digit accuracy are provided for a wide range of plate aspect ratio. Numerical results are compared with those by Rayleigh-Ritz method, to verify the accuracy of the proposed method.
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