Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations

doi:10.1007/s10483-024-3098-5

Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (3): 461-478.doi: https://doi.org/10.1007/s10483-024-3098-5

收稿日期:2023-11-14 出版日期:2024-03-03 发布日期:2024-02-24

Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations

Haitao LI¹, Tianyu ZHENG¹, Weiyang QIN², Ruilan TIAN³, Hu DING⁴^,*(), J. C. JI⁵, Liqun CHEN⁴

¹ Department of Engineering Mechanics, North University of China, Taiyuan 030051, China
² Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China
³ Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
⁴ Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Frontier Science Center of Mechnoinformatics, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China
⁵ School of Mechanical and Mechatronic Engineering, University of Technology Sydney, New South Wales 2007, Australia

Received:2023-11-14 Online:2024-03-03 Published:2024-02-24
Contact: Hu DING E-mail:dinghu3@shu.edu.cn
Supported by:
the National Natural Science Foundation of China(12272355);the National Natural Science Foundation of China(12025204);the National Natural Science Foundation of China(11902294);the Opening Foundation of Shanxi Provincial Key Laboratory for Advanced Manufacturing Technology of China(XJZZ202304);the Shanxi Provincial Graduate Innovation Project of China(2023KY629);Project supported by the National Natural Science Foundation of China (Nos. 12272355, 12025204, and 11902294), the Opening Foundation of Shanxi Provincial Key Laboratory for Advanced Manufacturing Technology of China (No. XJZZ202304), and the Shanxi Provincial Graduate Innovation Project of China (No. 2023KY629)

摘要/Abstract

Abstract:

In the practical environment, it is very common for the simultaneous occurrence of base excitation and crosswind. Scavenging the combined energy of vibration and wind with a single energy harvesting structure is fascinating. For this purpose, the effects of the wind speed and random excitation level are investigated with the stochastic averaging method (SAM) based on the energy envelope. The results of the analytical prediction are verified with the Monte-Carlo method (MCM). The numerical simulation shows that the introduction of wind can reduce the critical excitation level for triggering an inter-well jump and make a bi-stable energy harvester (BEH) realize the performance enhancement for a weak base excitation. However, as the strength of the wind increases to a particular level, the influence of the random base excitation on the dynamic responses is weakened, and the system exhibits a periodic galloping response. A comparison between a BEH and a linear energy harvester (LEH) indicates that the BEH demonstrates inferior performance for high-speed wind. Relevant experiments are conducted to investigate the validity of the theoretical prediction and numerical simulation. The experimental findings also show that strong random excitation is favorable for the BEH in the range of low wind speeds. However, as the speed of the incoming wind is up to a particular level, the disadvantage of the BEH becomes clear and evident.

Key words: bi-stability, inter-well response, galloping, band-limited random

中图分类号:

. [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 461-478.

Haitao LI, Tianyu ZHENG, Weiyang QIN, Ruilan TIAN, Hu DING, J. C. JI, Liqun CHEN. Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 461-478.

图/表 14

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Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations

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