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Transverse vibration of rectangular plates subjected to inplane forces by a difference based variational approach
Authors:JP Singh  SS Dey  
Abstract:Free vibration characteristics of rectangular plates subjected to inplane loads have been studied using the variational finite difference method. The total energy of free vibration of the system is discretized by replacing the derivative terms by their finite difference equivalents and energy minimization technique is used to obtain a typical eigenvalue problem. Vibration frequencies for various modes for plates subjected to inplane normal loads, pure shear and their combination have been determined for different aspect ratios and edge conditions. It has been observed that the effect of inplane loads on vibration frequencies is more pronounced in the case of plates having similar modes for vibration and buckling.
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