Nonlinear Transient Dynamic Response of Clamped Rectangular Plates on Two-Parameter Foundations by the Algorithm of the Singular Convolution

Abstract: This article introduces a DSC-HDQ methodology for the numerical solution of geometrically non-linear dynamic problem of rectangular plates resting on elastic foundation. Winkler-Pasternak two-parameter foundation model is considered. Dynamic analogues Von Karman equations are used. The governing nonlinear partial differential equations of the problem are discretized in space and time domains using the discrete singular convolution (DSC) and harmonic differential quadrature (HDQ) methods, respectively. The effects of Winkler and Pasternak foundation parameters on the dynamic response of plates have been investigated