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作者:

Zhang, W. (Zhang, W..) (学者:张伟) | Guo, X.Y. (Guo, X.Y..)

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EI Scopus

摘要:

An analysis on the nonlinear oscillations and chaotic dynamics is presented for a simply-supported symmetric cross-ply composite laminated rectangular thin plate with parametric and forcing excitations. Based on the Reddy's third-order shear deformation plate theory and the von Karman type equation, the nonlinear governing partial differential equations of motion for the composite laminated rectangular thin plate are derived by using the Hamilton's principle. The Galerkin method is utilized to discretize the governing partial differential equations of motion to a three-degree-of-freedom nonlinear system including the cubic nonlinear terms. The case of 1:3:3 internal resonance and fundamental parametric resonance, 1/3 subharmonic resonance is considered. The method of multiple scales is employed to obtain the averaged equation. The stability analysis is given for the steady-state solutions of the averaged equation. The Numerical method is used to investigate the periodic and chaotic motions of the composite laminated rectangular thin plate. The results of numerical simulation demonstrate that there exist different kinds of periodic and chaotic motions of the composite laminated rectangular thin plate under certain conditions. Copyright © 2009 by ASME.

关键词:

Degrees of freedom (mechanics) Design Equations of motion Galerkin methods Laminated composites Laminating Nonlinear equations Numerical methods Partial differential equations Resonance Shear deformation

作者机构:

  • [ 1 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Guo, X.Y.]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

通讯作者信息:

  • 张伟

    [zhang, w.]college of mechanical engineering, beijing university of technology, beijing 100124, china

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年份: 2010

期: PART C

卷: 4

页码: 1359-1369

语种: 英文

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