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作者:

Guo Xiang Ying (Guo Xiang Ying.) | Zhang Wei (Zhang Wei.) (学者:张伟) | Yao MingHui (Yao MingHui.) (学者:姚明辉)

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EI Scopus SCIE

摘要:

An asymptotic perturbation method is presented based on the Fourier expansion and temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of a simply supported angle-ply composite laminated rectangular thin plate with parametric and external excitations. 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 1:1 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 averaged equation 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.

关键词:

angle-ply composite laminated plate chaotic motion parametric excitation third-order shear deformation theory

作者机构:

  • [ 1 ] [Guo Xiang Ying]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yao MingHui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 张伟

    [Zhang Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

SCIENCE CHINA-TECHNOLOGICAL SCIENCES

ISSN: 1674-7321

年份: 2010

期: 3

卷: 53

页码: 612-622

4 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

JCR分区:4

中科院分区:4

被引次数:

WoS核心集被引频次: 24

SCOPUS被引频次: 31

ESI高被引论文在榜: 0 展开所有

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