Abstract
For the first time to the authors' knowledge, the problem of free vibration of a moderately thick rectangular plate with edges elastically restrained against transverse and rotational displacements is considered. The Ritz method combined with a variational formulation and Mindlin plate theory is used. The admissible functions consist of polynomials and basic functions that impose the required boundary conditions on the Mindlin plate. The applicability of the formulation is illustrated using three examples of plates with different combinations of elastically restrained edges and classical boundary conditions. Numerical results are obtained to investigate the effects of elastic spring stiffness, relative thickness and aspect ratio upon the natural frequencies of flexural vibration of rectangular Mindlin plates.
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