Nonlinear Vibration Analysis of A Functionally Graded Rectangular Cantilever Plate Subjected to Transverse Loads in Thermal Environments

摘要

In this paper,nonlinear vibration analysis is presented for a cantilever,functionally graded rectangular plate subjected to a transverse uniform load and in thermal environments.The material properties of the plate are assumed to be temperature-dependent,and graded in the thickness direction according to a simple power-law distribution in terms of the volume fractions of the constituents.The governing equations of the functionally graded plate are based on Reddy's first-order shear deformation plate theory that includes thermal effects.Galerkin method is used to reduce the non-linear partial differential equations to ordinary non-linear differential equations.Runge-Kutta method is used to obtain the non-linear and linear frequencies of vibration.The results reveal that the temperature field and volume fraction distribution have significant effect on the nonlinear vibration of the functionally graded plate.