Three-dimensional vibration analysis of functionally graded material plates in thermal environment

摘要

The three-dimensional vibrations of functionally graded material plates exposed to thermal environment are considered based on a novel high-order layerwise theory. The formulation is based on the three-dimensional theory of elasticity so that no other assumptions on deformations and stresses along the thickness direction are introduced. The governing equations of the plates is discretized by modified Chebyshev polynomials of first kind in the transfer domain and the remaining domains are approximated by spectral method in which each of the fundamental unknowns is invariantly expanded as basic functions and the problems are stated in a variational form by the aid of penalty parameters which provides complete flexibility to describe any specified boundary conditions. FGM plates with temperature-dependent material properties subjected to uniform temperature rise, linear temperature rise and nonlinear temperature rise are considered. The vibration characteristics of the FGM plates at different temperature are brought out through parametric study.