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作者:

Jiahui, Y. (Jiahui, Y..) | Wei, Z. (Wei, Z..) | An, X. (An, X..)

收录:

Scopus

摘要:

The wing is simplified as the cantilever plate model based on the engineering background of the aircraft wing. The nonlinear dimensionless partial differential governing equations ol the composite cantilever piezoelectric plate under the combination ol transverse and in-plane excitations are established by using the Hamilton's principle. The Galerkin approach is used to discretize the partial differential equations to the ordinary differential equations with twodegree-of-freedom under the transverse and parametric excitations. Meanwhile, the method ol multiple scales is employed to obtain the four-dimensional averaged equation considering the primary parametric resonance-1:3 internal resonance. Numerical method is utilized to find the nonlinear dynamics responses ol the composite piezoelectric cantilever plate. The numerical results indicate the existence ol the periodic and chaotic responses. The influences ol the transverse excitation and piezoelectric parameter term on the bifurcations and chaotic behaviors ol the composite piezoelectric cantilever plate are investigated. The conclusions are instructive to the practical engineering. © 2018 Journal of Dynamics and Control. All rights reserved.

关键词:

Cantilever plate; Internal resonance; Multiple scales method; Nonlinear dynamics; Perturbation analysis

作者机构:

  • [ 1 ] [Jiahui, Y.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Jiahui, Y.]Beijing Vocational College of Agriculture, Beijing, 102208, China
  • [ 3 ] [Wei, Z.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 4 ] [An, X.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

通讯作者信息:

  • [Wei, Z.]College of Mechanical Engineering, Beijing University of TechnologyChina

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来源 :

Journal of Dynamics and Control

ISSN: 1672-6553

年份: 2018

期: 5

卷: 16

页码: 440-447

被引次数:

WoS核心集被引频次: 0

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

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