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作者:

Yang, J. H. (Yang, J. H..) | Zhang, W. (Zhang, W..) | Yao, M. H. (Yao, M. H..) (学者:姚明辉) | Zhu, G. (Zhu, G..)

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摘要:

The nonlinear dynamics of a cantilevered piezoelectric rectangular plate are studied, which are simultaneously forced by the base excitation and the excitation loaded by piezoelectric layers. The nonlinear partial differential governing equations of motion for the system 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 four-degree-of-freedom. Numerical simulations are presented to investigate the effects of the voltage excitation on the steady-state responses of the cantilevered piezoelectric plate. The bifurcation diagram of the system for W-1, W-2, W-3, W-4 via the voltage excitation amplitude is obtained. The motions of the system can be shown as follows: the chaotic motion -> the multiple periodic motion -> the periodic motion -> the chaotic motion. Based on the above bifurcation diagrams, the voltage excitation amplitude are changed to obtain the waveforms, two-dimensional phase portraits, three-dimensional phase portraits and Poincare maps. The results show that the amplitude of the system can reduce effectively and keep the stability by adjusting the voltage excitation.

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作者机构:

  • [ 1 ] [Yang, J. H.]Beijing Univ Technol, Coll Mech Engn, Beijing, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing, Peoples R China
  • [ 3 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing, Peoples R China
  • [ 4 ] [Yang, J. H.]Beijing Vocat Coll Agr, Beijing, Peoples R China
  • [ 5 ] [Zhu, G.]Beijing Vocat Coll Agr, Beijing, Peoples R China

通讯作者信息:

  • [Yang, J. H.]Beijing Univ Technol, Coll Mech Engn, Beijing, Peoples R China;;[Yang, J. H.]Beijing Vocat Coll Agr, Beijing, Peoples R China

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来源 :

2ND INTERNATIONAL CONFERENCE ON ADVANCES IN ENERGY RESOURCES AND ENVIRONMENT ENGINEERING

ISSN: 1755-1307

年份: 2017

卷: 59

语种: 英文

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