Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (7): 1019-1030.doi: https://doi.org/10.1007/s10483-017-2220-6

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Integration of a nonlinear energy sink and a piezoelectric energy harvester

Xiang LI1, Yewei ZHANG1,2, Hu DING1,3, Liqun CHEN1,3,4   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China;
    3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China;
    4. Department of Mechanics, Shanghai University, Shanghai 200444, China
  • Received:2016-12-09 Revised:2017-03-14 Online:2017-07-01 Published:2017-07-01
  • Contact: Yewei ZHANG E-mail:zhangyewei1218@126.com
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 11572182, 11232009, and 11402151) and the Natural Science Foundation of Liaoning Province (No. 2015020106)

Abstract:

A mechanical-piezoelectric system is explored to reduce vibration and to harvest energy. The system consists of a piezoelectric device and a nonlinear energy sink (NES), which is a nonlinear oscillator without linear stiffness. The NES-piezoelectric system is attached to a 2-degree-of-freedom primary system subjected to a shock load. This mechanical-piezoelectric system is investigated based on the concepts of the percentages of energy transition and energy transition measure. The strong target energy transfer occurs for some certain transient excitation amplitude and NES nonlinear stiffness. The plots of wavelet transforms are used to indicate that the nonlinear beats initiate energy transitions between the NES-piezoelectric system and the primary system in the transient vibration, and a 1:1 transient resonance capture occurs between two subsystems. The investigation demonstrates that the integrated NES-piezoelectric mechanism can reduce vibration and harvest some vibration energy.

Key words: white-noise, parametric excitation, stochastic averaging method, energy transition, nonlinear beat phenomenon, piezoelectric energy harvester, nonlinear energy sink (NES), NES-piezoelectric system

2010 MSC Number: 

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