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作者:

Yao, Minghui (Yao, Minghui.) (学者:姚明辉) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Yao, Zhigang (Yao, Zhigang.)

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EI Scopus SCIE

摘要:

This paper investigates the complicated dynamics behavior and the evolution law of the nonlinear vibrations of the simply supported laminated composite piezoelectric beam subjected to the axial load and the transverse load. Using the third-order shear deformation theory and the Hamilton's principle, the nonlinear governing equations of motion for the laminated composite piezoelectric beam are derived. Applying the method of multiple scales and Galerkin's approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of principal parametric resonance and 1: 9 internal resonance. From the averaged equations obtained, numerical simulation is performed to study nonlinear vibrations of the laminated composite piezoelectric beam. The axial load, the transverse load, and the piezoelectric parameter are selected as the controlling parameters to analyze the law of complicated nonlinear dynamics of the laminated composite piezoelectric beam. Based on the results of numerical simulation, it is found that there exists the complex nonlinear phenomenon in motions of the laminated composite piezoelectric beam. In summary, numerical studies suggest that periodic motions and chaotic motions exist in nonlinear vibrations of the laminated composite piezoelectric beam. In addition, it is observed that the axial load, the transverse load and the piezoelectric parameter have significant influence on the nonlinear dynamical behavior of the beam. We can control the response of the system from chaotic motions to periodic motions by changing these parameters.

关键词:

bifurcations chaotic dynamics complicated nonlinear dynamics laminated composite piezoelectric beam transverse nonlinear vibrations

作者机构:

  • [ 1 ] [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, Zhigang]Beijing Ind Technician Coll, Beijing 100023, Peoples R China

通讯作者信息:

  • 姚明辉

    [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME

ISSN: 1048-9002

年份: 2015

期: 1

卷: 137

1 . 7 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:114

JCR分区:2

中科院分区:3

被引次数:

WoS核心集被引频次: 22

SCOPUS被引频次: 22

ESI高被引论文在榜: 0 展开所有

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