The effect of thermo-mechanical coupling for a simply supported orthotropic rectangular plate on non-linear dynamics

Abstract

This paper is presented for the analysis of the large amplitude thermo-mechanically coupled vibration of the simply supported orthotropic rectangular thin plate. The governing partial differential equation of the large deflection orthotropic rectangular thin plate of thermo-mechanical coupling is derived and simplified to a set of three non-linear ordinary differential equations by the Galerkin method. The modeling result of numerical simulation indicated that the amplitude of the simply supported orthotropic rectangular thin plate decays under the various parameters of orthotropic materials. As these thermo-mechanical coupling factor, percentage of the Poisson ratio, percentage of the thermal conductance of the plate, percentage of the coefficient of thermal expansion, external in-plane force are decreased, the thermo mechanical damping of plate would be increased. The different thermal damping of the simply supported orthotropic plate can be controlled in the special range of the parameter.