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作者:

Zhang, Wei (Zhang, Wei.) | Guo, Xiangying (Guo, Xiangying.) | Wang, Qian (Wang, Qian.) | Liu, Cuicui (Liu, Cuicui.)

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摘要:

This paper is intended to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations and the method of multiple scales is presented to study the ordinary differential equation of the system. According to the Reddy's third-order plate theory, the governing equations of motion for the angle-ply composite laminated rectangular thin plate are derived by using the Hamilton's principle. Then, the Galerkin procedure is applied to the partial differential governing equation to obtain a two-degrees-of-freedom nonlinear system including the quadratic and cubic nonlinear terms. Such equations are utilized to deal with the resonant case of 1:2 internal resonance and primary parametric resonance-1/2 subharmonic resonance. Furthermore, the stability analysis is given for the steady-state solutions of the averaged equation. Based on the nonlinear governing equations obtained by the asymptotic perturbation method, the phase portrait and power spectrum are used to analyze the multi-pulse chaotic motions of the angle-ply composite laminated rectangular thin plate. Under certain conditions the various chaotic motions of the angle-ply composite laminated rectangular thin plate are found. Keywords: angle-ply composite laminated plate, third-order shear deformation theory, parametric excitation, choatic motion.

关键词:

Chaotic systems Degrees of freedom (mechanics) Equations of motion Laminated composites Laminating Nonlinear equations Ordinary differential equations Oscillators (mechanical) Perturbation techniques Resonance Shear deformation

作者机构:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Guo, Xiangying]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Guo, Xiangying]College of Mechanical Engineering, Rice University, 6100 main street, Houston; TX; 77005, United States
  • [ 4 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 5 ] [Liu, Cuicui]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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年份: 2010

卷: 2

页码: 78-83

语种: 英文

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