Thermal forced vibration of magneto-electro-elastic sandwich plate with penta-graphene core

Abstract

An analytical method to investigate the nonlinear forced vibration of the sandwich plate resting on Pasternak-type foundations subjected to the combination of the mechanical, thermal, electric and magnetic loadings is presented in this paper. The sandwich plate is composed of penta-graphene core with negative Poisson’s ratio and two magneto-electro-elastic face sheets. The temperature-dependent elastic characteristics of penta-graphene core are determined by density functional theory. For magneto-electro-elastic material, the material properties depend on the volume fraction of piezoelectric and piezomagnetic phases which are assumed to be equal. The Hamilton’s principle and Reddy’s higher order shear deformation plate theory are used to derive basic equations of motion. The effects of different parameters such as magnetic and electric potentials, elastic foundations coefficients, temperature increment, initial imperfection, viscous damping and geometrical parameters on the natural frequency, nonlinear to linear frequency ratio and dynamic response of the sandwich plate are discussed in details. The numerical results of this work are also compared with the results available in the literature in order to ensure the reliability and accuracy of the proposed model.