Abstract
This paper presents an approximate solution of the large deflection damped response of thin isotropic circular and rectangular plates subjected to step loads. Simply-supported and clamped plates with movable and immovable inplane conditions are considered. Von Karman-type equations are employed in terms of the transverse deflection and the stress function. The deflection is approximated by a one-term spatial shape function and Galerkin's method is used to obtain the differential equation for the central deflection. This equation is solved by the Newmark-β scheme. Comparison with available results has demonstrated that satisfactory engineering accuracy is achieved by the present method.
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