Abstract

The global bifurcations and multi-pulse chaotic dynamics of the simply supported composite laminated piezoelectric beam under combined axial and transversal excitations are studied in this paper. Firstly, based on the model of von Karman type equations for the geometric nonlinearity and the Reddy's third-order shear deformation theory, the nonautonomous ordinary differential equations with two-degree-of-freedom are derived by using Galerkin method. Then, the nonautonomous ordinary differential equations of the composite laminated piezoelectric beam are analyzed directly by utilizing the extended Melnikov method. Finally, the multi-pulse chaotic motions of the composite laminated piezoelectric beam are found from the numerical simulations which further verify the result of theoretical analysis.

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