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摘要:
The global bifurcation and multi-pulse chaotic dynamics of the four-edge simply supported composite laminated piezoelectric rectangular plate under in-plane and transversal excitations are studied. Based on the model of von Karman type equations for the geometric nonlinearity and the ReddyaˆTMs third-order shear deformation theory, the formulas of motion for composite laminated piezoelectric rectangular plate subjected to the in-plane and transversal excitations are derived. Then the Galerkin method is employed to discretize the partial differential equations and the non-autonomous ordinary differential equations with three-degree-of-freedom are derived. The extended Melnikov method is improved to investigate the six-dimensional non-autonomous nonlinear dynamical system in mixed coordinate and the global bifurcation and multi-pulse chaotic dynamics of the composite laminated piezoelectric rectangular plate are studied. The multi-pulse chaotic motions of the composite laminated piezoelectric rectangular plate are found from the numerical simulation which further verifies the result of theoretical analysis. Copyright © 2012 by ASME.
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年份: 2012
期: PARTS A AND B
卷: 1
页码: 933-942
语种: 英文
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