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作者:

Hao, Wuling (Hao, Wuling.) | Zhang, Wei (Zhang, Wei.) | Wang, Qian (Wang, Qian.)

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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.

关键词:

Bifurcation (mathematics) Control nonlinearities Degrees of freedom (mechanics) Design Dynamical systems Galerkin methods Laminated composites Laminating Nonlinear dynamical systems Ordinary differential equations Piezoelectricity Plates (structural components) Shear deformation Vibrations (mechanical)

作者机构:

  • [ 1 ] [Hao, Wuling]College of Mechanical Engineering, Beijing University of Technology, Chaoyang District, Beijing, 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Chaoyang District, Beijing, 100124, China
  • [ 3 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Chaoyang District, Beijing, 100124, China

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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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