Vibrations of Elastically Restrained Circular Plates Resting on Partial Winkler Foundation

ABSTRACT

This work describes a study of vibration characteristics of thin circular plates with elastic edge support and resting on partial Winkler-type elastic foundation. The foundation is described by the Winkler model, which is called as single parameter foundation. The exact analytical method is used to derive the frequency equation of the circular plate with elastic edge support-conditions and resting on partial elastic foundation system. Parametric investigations on the behavior of circular plates with elastic edge support and resting on partial elastic foundation have been carried out with respect to various values of transverse stiffness parameter, foundation parameter for a variety of boundary conditions. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational edge restraint, and the foundation modulus parameters of the Winkler foundation on the natural frequencies of uniform isotropic circular plates. A comparison of the results obtained here in this paper with those available in the literature shows an excellent agreement.

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