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The present investigation deals with nonlinear oscillation behavior of a simply supported functionally graded rectangular plate in thermal environment with in-plane parametric and transverse external excitations. Material properties are assumed to be temperature-dependent. Based on the Reddy's third-order plate theory and the non-linear strain-displacement relations, the governing equations of motion for the FGM plate are derived by using the Hamilton's principle. The method of multiple scales is utilized to obtain four-dimensional nonlinear averaged equations. Using a numerical method, the averaged equations are analyzed. These results show that under certain conditions the periodic, multi-periodic solutions and chaotic motions of the FGM plates are found.

Nonlinear dynamics of a simply supported FGM rectangular plate under combined parametrical and external excitations