Integration of a nonlinear energy sink and a piezoelectric energy harvester

doi:10.1007/s10483-017-2220-6

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

Integration of a nonlinear energy sink and a piezoelectric energy harvester

Xiang LI¹, Yewei ZHANG^1,2, Hu DING^1,3, Liqun CHEN^1,3,4

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

收稿日期:2016-12-09 修回日期:2017-03-14 出版日期:2017-07-01 发布日期:2017-07-01
通讯作者: Yewei ZHANG, E-mail:zhangyewei1218@126.com E-mail:zhangyewei1218@126.com
基金资助:
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)

Integration of a nonlinear energy sink and a piezoelectric energy harvester

Xiang LI¹, Yewei ZHANG^1,2, Hu DING^1,3, Liqun CHEN^1,3,4

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)

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

34C15

Xiang LI, Yewei ZHANG, Hu DING, Liqun CHEN. Integration of a nonlinear energy sink and a piezoelectric energy harvester[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 1019-1030.

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Integration of a nonlinear energy sink and a piezoelectric energy harvester

Integration of a nonlinear energy sink and a piezoelectric energy harvester

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