Abstract
The modified Superposition–Galerkin method is utilized to solve the free-vibration problem of shear deformable plates resting on uniform elastic foundations. Lateral displacement of the plate is forbidden at the boundaries. Due to elasticity in the support, edge rotation is opposed by bending moments proportional to the degree of rotation. Results of a study conducted on thick Mindlin plates are presented. The analytical procedure is found to be much more efficient than that involved in the traditional superposition method and good convergence is encountered.
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