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作者:

Gao, Mei-Juan (Gao, Mei-Juan.) | Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.) | Yao, Zhi-Gang (Yao, Zhi-Gang.)

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摘要:

Based on the third-order shear deformation laminate theory of Reddy, the six-dimensional nonlinear system of the four-edge simply supported rectangular laminated composite piezoelectric plates was studied, which are subjected to in-plane excitations, out-plane loads, thermal loads and piezoelectric excitations. Taking into account that in the averaged equation there exist eigenvalues of one pair of double zeros and two pairs of pure imaginaries, the theory of normal form was used to reduce the six-dimensional averaged equation into a simpler form. The energy-phase method was employed to study the global bifurcations and chaotic properties of the six-dimensional nonlinear system of a composite laminated plate. The global analysis indicates that there exists the multi-pulse jumping of homoclinic orbits in the system. At the same time, numerical simulation was used to investigate the nonlinear characteristics of the plate. The results of numerical simulation also demonstrate the appearance of jumping phenomena of orbits.

关键词:

Laminated composites Numerical methods Laminating Eigenvalues and eigenfunctions Piezoelectricity Chaotic systems Chaos theory Nonlinear systems Numerical models Computer simulation

作者机构:

  • [ 1 ] [Gao, Mei-Juan]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Yao, Ming-Hui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 4 ] [Yao, Zhi-Gang]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

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来源 :

Journal of Vibration and Shock

ISSN: 1000-3835

年份: 2009

期: 6

卷: 28

页码: 82-85

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