中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60203-060203.doi: 10.1088/1674-1056/ad3b89

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Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Mei-Ling Huang(黄美玲)1, Yong-Ge Yang(杨勇歌)1,2,†, and Yang Liu(刘洋)3   

  1. 1 School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou 510520, China;
    2 State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;
    3 Exeter Small-Scale Robotics Laboratory, Engineering Department, University of Exeter, North Park Road, Exeter EX4 4QF, UK
  • 收稿日期:2024-03-08 修回日期:2024-03-28 接受日期:2024-04-07 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Yong-Ge Yang E-mail:yonggeyang@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11902081), the Science and Technology Projects of Guangzhou (Grant No. 202201010326), and the Guangdong Provincial Basic and Applied Basic Research Foundation (Grant No. 2023A1515010833).

Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control

Mei-Ling Huang(黄美玲)1, Yong-Ge Yang(杨勇歌)1,2,†, and Yang Liu(刘洋)3   

  1. 1 School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou 510520, China;
    2 State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an 710049, China;
    3 Exeter Small-Scale Robotics Laboratory, Engineering Department, University of Exeter, North Park Road, Exeter EX4 4QF, UK
  • Received:2024-03-08 Revised:2024-03-28 Accepted:2024-04-07 Online:2024-06-18 Published:2024-06-18
  • Contact: Yong-Ge Yang E-mail:yonggeyang@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11902081), the Science and Technology Projects of Guangzhou (Grant No. 202201010326), and the Guangdong Provincial Basic and Applied Basic Research Foundation (Grant No. 2023A1515010833).

摘要: This paper focuses on the stochastic analysis of a viscoelastic bistable energy harvesting system under colored noise and harmonic excitation, and adopts the time-delayed feedback control to improve its harvesting efficiency. Firstly, to obtain the dimensionless governing equation of the system, the original bistable system is approximated as a system without viscoelastic term by using the stochastic averaging method of energy envelope, and then is further decoupled to derive an equivalent system. The credibility of the proposed method is validated by contrasting the consistency between the numerical and the analytical results of the equivalent system under different noise conditions. The influence of system parameters on average output power is analyzed, and the control effect of the time-delayed feedback control on system performance is compared. The output performance of the system is improved with the occurrence of stochastic resonance (SR). Therefore, the signal-to-noise ratio expression for measuring SR is derived, and the dependence of its SR behavior on different parameters is explored.

关键词: energy harvesting, bistability, stochastic averaging method, stochastic resonance, time-delayed feedback control

Abstract: This paper focuses on the stochastic analysis of a viscoelastic bistable energy harvesting system under colored noise and harmonic excitation, and adopts the time-delayed feedback control to improve its harvesting efficiency. Firstly, to obtain the dimensionless governing equation of the system, the original bistable system is approximated as a system without viscoelastic term by using the stochastic averaging method of energy envelope, and then is further decoupled to derive an equivalent system. The credibility of the proposed method is validated by contrasting the consistency between the numerical and the analytical results of the equivalent system under different noise conditions. The influence of system parameters on average output power is analyzed, and the control effect of the time-delayed feedback control on system performance is compared. The output performance of the system is improved with the occurrence of stochastic resonance (SR). Therefore, the signal-to-noise ratio expression for measuring SR is derived, and the dependence of its SR behavior on different parameters is explored.

Key words: energy harvesting, bistability, stochastic averaging method, stochastic resonance, time-delayed feedback control

中图分类号:  (Probability theory, stochastic processes, and statistics)

  • 02.50.-r
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.40.Ca (Noise)