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

doi:10.1088/1674-1056/ad3b89

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

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 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 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/Abstract

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)

Mei-Ling Huang(黄美玲), Yong-Ge Yang(杨勇歌), and Yang Liu(刘洋). Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control[J]. 中国物理B, 2024, 33(6): 60203-060203.

Mei-Ling Huang(黄美玲), Yong-Ge Yang(杨勇歌), and Yang Liu(刘洋). Performance enhancement of a viscoelastic bistable energy harvester using time-delayed feedback control[J]. Chin. Phys. B, 2024, 33(6): 60203-060203.

参考文献

[1] Sun Y H, Zeng Y H and Yang Y G 2024 Acta Mechanica Sinica 40 523154
[2] Tian Y, Lu X, Wang B, Tang B and Xu M 2023 Journal of Vibration Engineering & Technologies 1-10
[3] Pfenniger A, Wickramarathna L N, Vogel R and Koch V M 2013 Medical Engineering & Physics 35 1256
[4] Fezeu G J, Fokou I S M, Buckjohn C N D, Siewe M S and Tchawoua C 2020 Physica A: Statistical Mechanics and its Applications 557 124857
[5] Yang T, Zhou S, Fang S, Qin W and Inman D J 2021 Appl. Phys. Rev. 8 031317
[6] Harne R L and Wang K 2013 Smart Materials and Structures 22 023001
[7] Dutoit N E, Wardle B L and Kim S G 2005 Integrated Ferroelectrics 71 121
[8] Zhu H 2014 Physica A 410 335
[9] Su M, Xu W and Zhang Y 2021 Euro. Phys. J. Plus 136 271
[10] Zhu H 2014 Journal of Sound and Vibration 333 954
[11] Jiang W A and Chen L Q 2013 Mechanics Research Communications 53 85
[12] Li X, Yurchenko D, Li R, Feng X, Yan B and Yang K 2023 Mechanical Systems and Signal Processing 185 109787
[13] Ghouli Z and Litak G 2023 Journal of Vibration Engineering & Technologies 11 99
[14] Tang L, Yang Y and Soh C K 2010 Journal of Intelligent Material Systems and Structures 21 1867
[15] Daqaq M F 2011 Journal of Sound and Vibration 330 2554
[16] Stanton S C, McGehee C C and Mann B P 2010 Physica D 239 640
[17] Cohen N, Bucher I and Feldman M 2012 Mechanical Systems and Signal Processing 31 29
[18] Liu W, Badel A, Formosa F, Wu Y and Agbossou A 2013 Smart Materials and Structures 22 035013
[19] Zheng R, Nakano K, Hu H, Su D and Cartmell M P 2014 Journal of Sound and Vibration 333 2568
[20] Wang G, Liao W H, Yang B, Wang X, Xu W and Li X 2018 Mechanical Systems and Signal Processing 105 427
[21] Yousefpour A, Haji Hosseinloo A, Reza Hairi Yazdi M and Bahrami A 2020 Journal of Intelligent Material Systems and Structures 31 1495
[22] Guo Q, Sun Z, Zhang Y and Xu W 2019 Complexity 2019
[23] Barton D A and Burrow S G 2011 Journal of Computational and Nonlinear Dynamics 6
[24] Semenov V, Feoktistov A, Vadivasova T, Schöll E and Zakharova A 2015 Chaos 25 033111
[25] Belhaq M, Ghouli Z and Hamdi M 2018 Nonlinear Dynam. 94 2537
[26] Jin Y and Zhang Y 2021 Acta Mechanica 232 1045
[27] Huan R, Zhu W, Hu R and Ying Z 2016 Journal of Applied Mechanics 83 091009
[28] Xu P, Jin Y and Xiao S 2017 Chaos 27 113109
[29] Yang T and Cao Q 2019 Nonlinear Dynam. 96 1511
[30] Zhang S, Zhang Y, Sun Z and Duan X 2020 Complexity 2020
[31] De S L and Ali S F 2022 IFAC-PapersOnLine 55 411
[32] Tran N, Ghayesh M H and Arjomandi M 2018 International Journal of Engineering Science 127 162
[33] Li T, Qu S and Yang W 2012 J. Appl. Phys. 112 034119
[34] Li H, Li R, Fang X, Jiang H, Ding X, Tang B, Zhou G, Zhou R and Tang Y 2019 Nano Energy 58 447
[35] Zhou J, Jiang L and Khayat R E 2017 J. Appl. Phys. 121 184102
[36] Li S, Sun L and Kong F 2019 Shock and Vibration 2019 4038657
[37] Oumbé Tékam G, Kitio Kwuimy C and Woafo P 2015 Chaos: An Interdisciplinary Journal of Nonlinear Science 25 013112
[38] Huang D, Zhou S, Li W and Litak G 2021 Science China Technological Sciences 64 858
[39] Tuwa P R N, Molla T, Noubissie S, Kingni S T and Rajagopal K 2021 International Journal of Nonlinear Mechanics 137 103818
[40] Yang Y G, Meng Y, Zeng Y H and Sun Y H 2023 Chin. Phys. B 32 090201
[41] Fang S, Zhou S, Yurchenko D, Yang T and Liao W H 2022 Mechanical Systems and Signal Processing 166 108419
[42] Mantegna R N, Spagnolo B, Testa L and Trapanese M 2005 J. Appl. Phys. 97 10
[43] Jin Y, Xu W and Xu M 2005 Chaos, Solitons and Fractals 26 1183
[44] Zhang X and Xu W 2007 Physica A 385 95
[45] Fu H, Mei X, Yurchenko D, Zhou S, Theodossiades S, Nakano K and Yeatman E M 2021 Joule 5 1074
[46] Lei Y, Qiao Z, Xu X, Lin J and Niu S 2017 Mechanical Systems and Signal Processing 94 148
[47] Li J, Zhang J, Li M and Zhang Y 2019 Mechanical Systems and Signal Processing 114 128
[48] Zhang Y and Lei Y 2024 Chin. Phys. B 33 038201
[49] Zhang Y, Zheng R, Kaizuka T, Su D, Nakano K and Cartmell M 2015 Euro. Phys. J. Spec. Top. 224 2687
[50] Christensen R 2012 Theory of viscoelasticity: an introduction (Elsevier)
[51] Zhu W and Cai G 2011 International Journal of Nonlinear Mechanics 46 720
[52] Zhang Y and Jin Y 2019 Nonlinear Dynam. 98 501
[53] Zhang Y, Jin Y and Li Y 2021 Physica D 422 132908
[54] Mann B and Owens B 2010 Journal of Sound and Vibration 329 1215
[55] McInnes C, Gorman D and Cartmell M P 2008 Journal of Sound and Vibration 318 655
[56] Shao R H and Chen Y 2009 Physica A 388 977
[57] Gang H and Haken H 1990 Phys. Rev. A 41 7078
[58] Gang H 1991 Phys. Rev. A 43 700

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

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

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