Nonlinear free and forced vibration analysis of the sandwich composite cylindrical panel with auxetic core and GPL-reinforced facing sheets subjected to the temperature gradient

Abstract

This study deals with the nonlinear free and forced vibration of a sandwich panel, composed of Graphene platelet-reinforced composite (GPLRC) skins and re- entrant auxetic core subjected to heat conduction and harmonic force excitation. The nonlinear equations are obtained by applying Hamilton’s principles in the framework’s higher-order shear deformation theory and von-Karman’s nonlinear theory. Linear and nonlinear equations of motion are solved by applying the differential quadrature method and homotopy perturbation technique, respectively. In the numerical illustration, at first validation of the present formulation is carried out by comparing the numerical results with those available in the open literature. Then the effects of several parameters such as geometric parameters of auxetic core, force excitation, GPL volume fraction, different boundary conditions and temperature gradient on the nonlinear frequencies- amplitude of sandwich panel are studied. Finally, the important findings of this research indicate that the ratio of core thickness, inclined angle, and thickness to inclined length have significant effects on nonlinear frequencies’ amplitude response.