Abstract
This article establishes the vibrational response of laminates and sandwich plates inserted in an elastic medium. The quasi-3D elasticity equations are used for this purpose. The two-parameter Pasternak's model is utilized to give the interaction between the elastic foundation and the presented plate. The virtual displacement principle is applied to obtain governing dynamic equations. Many validation examples are displayed to show the accuracy and efficiency of the current model. The effects of various parameters like lamination scheme, material properties, aspect and thickness ratios, number of layers, and elastic foundation parameters on vibrations of laminates and sandwich plates are investigated.