Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations

This paper deals with the dynamic response of shear deformable laminated plates exposed to thermomechanical loading and resting on a two-parameter (Pasternak-type) elastic foundation. The temperature field considered is assumed to be a uniform distribution over the plate surface and through the plate thickness. The material properties are assumed to be independent of temperature. The formulations are based on Reddy’s higher order shear deformable plate theory and include the plate-foundation interaction and thermal effects due to temperature rise. All four edges of the plate are assumed to be simply supported with no in-plane displacements. Analytical solutions of dynamic response for symmetric cross-ply and antisymmetric angle-ply laminated plates subjected to a transverse dynamic load and exposed to a uniform temperature rise are obtained by using the state variable approach. The numerical illustrations concern the free vibration and dynamic response of shear deformable laminated plates resting on Pasternak-type elastic foundations with the Winkler elastic foundations being a limiting case. Effects of foundation stiffness, plate side-to-thickness ratio, and temperature rise on the dynamic response are also studied.