Nonlinear vibration of FGM plates under random excitation

Abstract

Abstract In this study, the nonlinear vibration of clamped FGM (Functionally Graded Material) plates under random excitation is presented. The mechanical properties such as the Young’s modulus, the Poisson’s ratio, the thermal expansion coefficients and the density of materials are assumed to vary through thickness direction according to the volume fraction of the constituents using a simple power law distribution. Temperature dependent properties of the constituents of the FGM plate are considered for the random vibration in thermal environment. Temperature changes are assumed to be either uniform throughout plate or vary linearly only in thickness direction. Nonlinearities are considered to be von Karman type due to in-plane stretching. Excitation is considered as a stationary random process with a zero mean and Gaussian distributed. Random pressure is simulated by using Monte Carlo method. Nonlinear random responses are computed for different sound pressure levels, temperatures and material mixture parameters. Thermal-buckling and snap-through type behavior under random excitation is examined.