Nonlinear dynamical response of FG sandwich plates with pores and flexibly constrained boundaries in thermal environments

Abstract

The present article scrutinizes the nonlinear transient response (NTR) of functionally graded material (FGM) sandwich plates including the simultaneous impacts of pores, geometric perturbation, high temperature, and flexible constraints of boundaries. The characteristics of constitutive materials are depended on temperature and overall features of imperfect FGM are sought employing a modification of linear rule of mix. Two sandwich configurations fabricated from FGM and homogeneous layers are considered, and pores are evenly distributed in materials. Fundamental derivations via transverse displacement along with stress function (SF) are built on the foundation of the first order plate theory (FOPT) incorporating initial geometric imperfection and von Kármán terms. The derived equations are resolved by adopting analytic derivations combined with Galerkin approach to yield a differential equation with nonlinear terms. The derived differential equation is resolved by virtue of taking up the Runge–Kutta integration diagram to graph the temporal transverse displacement (TD)–time curves of transient response of sandwich plates. An illustrative analysis is implemented to evaluate diverse impacts of pore volume ratio, imperfection, tangential restraints of boundaries, and high temperature on the nonlinear transient response. It is explored that in-plane edge confinements substantially influence the nonlinear dynamic response, especially at high temperatures. Furthermore, the thickness of skins and size of geometrical imperfection significantly affect temporal TD–time paths.