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The wing is simplified as the cantilever plate model based on the engineering background of the aircraft wing. The nonlinear dimensionless partial differential governing equations ol the composite cantilever piezoelectric plate under the combination ol transverse and in-plane excitations are established by using the Hamilton's principle. The Galerkin approach is used to discretize the partial differential equations to the ordinary differential equations with twodegree-of-freedom under the transverse and parametric excitations. Meanwhile, the method ol multiple scales is employed to obtain the four-dimensional averaged equation considering the primary parametric resonance-1:3 internal resonance. Numerical method is utilized to find the nonlinear dynamics responses ol the composite piezoelectric cantilever plate. The numerical results indicate the existence ol the periodic and chaotic responses. The influences ol the transverse excitation and piezoelectric parameter term on the bifurcations and chaotic behaviors ol the composite piezoelectric cantilever plate are investigated. The conclusions are instructive to the practical engineering. © 2018 Journal of Dynamics and Control. All rights reserved.
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