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Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (2): 229-236.doi: https://doi.org/10.1007/s10483-014-1786-6

• 论文 • 上一篇    下一篇

Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode

王海仁1,2 谢捷敏2 谢旋2 胡元太2 王骥3   

  1. 1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, P. R. China;
    2. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    3. Piezoelectric Device Laboratory, Department of Mechanics and Engineering Science, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang Province, P. R. China
  • 收稿日期:2013-02-27 修回日期:2013-08-20 出版日期:2014-02-27 发布日期:2014-02-18

Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode

 WANG Hai-Ren1,2, XIE Jie-Min2, XIE Xuan2, HU Yuan-Tai2, WANG Ji3   

  1. 1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, P. R. China;
    2. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    3. Piezoelectric Device Laboratory, Department of Mechanics and Engineering Science, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang Province, P. R. China
  • Received:2013-02-27 Revised:2013-08-20 Online:2014-02-27 Published:2014-02-18

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405

被引次数

13

摘要： The nonlinear behaviors of a circular-cylinder piezoelectric power harvester (CCPPH) near resonance are analyzed based on the flow-induced flexural vibration mode. The geometrically-nonlinear effect of the cylinder is studied with considering the in-plane extension incidental to the large deflection. The boundary electric charges generated from two deformation modes, flexure and in-plane extension, were distinguished with each other because the charge corresponding to the latter mode produces no contribution to the output current. Numerical results on output powers show that there are multivaluedness and jump behaviors.

关键词: piezoelectric power harvester, nonlinear behavior, large deflection, inplane extension, multivaluedness, Mathieu_Duffing振子, 混沌控制, 开闭环控制, 全局夹带盆

Abstract: The nonlinear behaviors of a circular-cylinder piezoelectric power harvester (CCPPH) near resonance are analyzed based on the flow-induced flexural vibration mode. The geometrically-nonlinear effect of the cylinder is studied with considering the in-plane extension incidental to the large deflection. The boundary electric charges generated from two deformation modes, flexure and in-plane extension, were distinguished with each other because the charge corresponding to the latter mode produces no contribution to the output current. Numerical results on output powers show that there are multivaluedness and jump behaviors.

Key words: piezoelectric power harvester, nonlinear behavior, large deflection, inplane extension, multivaluedness, Mathieu-Duffing oscillator, chaos control, OPCL control, global entrainment

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