Broadband energy harvesting based on one-to-one internal resonance

doi:10.1088/1674-1056/aba5fd

中国物理B ›› 2020, Vol. 29 ›› Issue (10): 100503-.doi: 10.1088/1674-1056/aba5fd

Wen-An Jiang(姜文安)¹, Xin-Dong Ma(马新东)¹, Xiu-Jing Han(韩修静)¹^,†(), Li-Qun Chen(陈立群)²^,³, Qin-Sheng Bi(毕勤胜)¹

收稿日期:2020-04-14 修回日期:2020-07-06 接受日期:2020-07-15 出版日期:2020-10-05 发布日期:2020-10-05
通讯作者: Xiu-Jing Han(韩修静)

Broadband energy harvesting based on one-to-one internal resonance

Wen-An Jiang(姜文安)¹, Xin-Dong Ma(马新东)¹, Xiu-Jing Han(韩修静)^1,†, Li-Qun Chen(陈立群)^2,3, and Qin-Sheng Bi(毕勤胜)¹

¹ Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China
² School of Science, Harbin Institute of Technology, Shenzhen 518055, China
³ Department of Mechanics, Shanghai University, Shanghai 200072, China

Received:2020-04-14 Revised:2020-07-06 Accepted:2020-07-15 Online:2020-10-05 Published:2020-10-05
Contact: ^†Corresponding author. E-mail: xjhan@mail.ujs.edu.cn
About author:
†Corresponding author. E-mail: xjhan@mail.ujs.edu.cn
* Project supported by the National Natural Science Foundation of China (Grant Nos. 11632008 and 11702119), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20170565), China Postdoctoral Science Foundation (Grant No. 2020M671353), and Jiangsu Planned Projects for Postdoctoral Research Funds, China (Grant No. 2020Z376).

摘要/Abstract

Abstract:

We design an electromechanical transducer harvesting system with one-to-one internal resonance that can emerge a broader spectrum vibrations. The novel harvester is composed of a Duffing electrical circuit coupled to a mobile rod, and the coupling between both components is realized via the electromagnetic force. Approximate analytical solutions of the electromechanical system are carried out by introducing the multiple scales analysis, also the nonlinear modulation equation for one-to-one internal resonance is obtained. The character of broadband harvesting performance are analyzed, the two peaks and one jump phenomenon bending to the right for variation of control parameters are observed. It is shown that an advanced bandwidth over a corresponding linear model that does not possess a modal energy interchange.

Key words: energy harvesting, internal resonance, broadband, nonlinear modal interactions

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

77.65.-j (Piezoelectricity and electromechanical effects)

Wen-An Jiang(姜文安), Xin-Dong Ma(马新东), Xiu-Jing Han(韩修静), Li-Qun Chen(陈立群), Qin-Sheng Bi(毕勤胜). [J]. 中国物理B, 2020, 29(10): 100503-.

Wen-An Jiang(姜文安), Xin-Dong Ma(马新东), Xiu-Jing Han(韩修静)†, Li-Qun Chen(陈立群), and Qin-Sheng Bi(毕勤胜). Broadband energy harvesting based on one-to-one internal resonance[J]. Chin. Phys. B, 2020, 29(10): 100503-.

图/表 10

参考文献 52

[1]	Challa V, Prasad M, Shi Y, Fisher F 2008 Smart Mater. Struct. 75 015035
[2]	Shahruz S M 2006 J. Sound Vib. 292 987 DOI: 10.1016/j.jsv.2005.08.018
[3]	Fan K Q, Xu C H, Wang W D, Fang Y 2014 Chin. Phys. B 23 084501 DOI: 10.1088/1674-1056/23/8/084501
[4]	Li H T, Qin W Y 2016 Chin. Phys. B 25 110503 DOI: 10.1088/1674-1056/25/11/110503
[5]	Zhang Y W, Wang C, Yuan B, Fang B 2017 Shock Vib. 1987456 1
[6]	Yan Z M, Hajj M 2017 J. Intel. Mat. Syst. Str. 28 254 DOI: 10.1177/1045389X16649450
[7]	Cao D X, Gao Y H, Hu W H 2019 Acta Mech. Sinica 35 894 DOI: 10.1007/s10409-019-00852-3
[8]	Tan T, Yan Z M, Zou Y J, Zhang W M 2019 Mech. Syst. Signal Pr. 123 513 DOI: 10.1016/j.ymssp.2019.01.004
[9]	Jiang W A, Sun P, Zhao G L, Chen L Q 2019 Appl. Math. Mech. -Engl. Ed. 40 579 DOI: 10.1007/s10483-019-2467-8
[10]	Guo X Y, Wang S B, Sun L, Cao D X 2020 Acta Mech. Sinica 36 234 DOI: 10.1007/s10409-019-00923-5
[11]	Cottone F, Vocca H, Gammaitoni L 2009 Phys. Rev. Lett. 102 080601 DOI: 10.1103/PhysRevLett.102.080601
[12]	Wang G Y, Tang L H 2017 Mech. Syst. Signal Pr. 86 29 DOI: 10.1016/j.ymssp.2016.10.001
[13]	Zou H X, Zhang W M, Wei K X, Li W B, Peng Z K, Meng G 2016 J. Appl. Mech. 83 121005 DOI: 10.1115/1.4034563
[14]	Lan C B, Qin W Y 2017 Mech. Syst. Signal Pr. 85 71 DOI: 10.1016/j.ymssp.2016.07.047
[15]	Zhou Z Y, Qin W Y, Du W F, Zhu P, Liu Q 2019 Mech. Syst. Signal Pr. 115 162 DOI: 10.1016/j.ymssp.2018.06.003
[16]	Cao J Y, Zhou S X, Wang W, Lin J 2015 Appl. Phys. Lett. 106 173903 DOI: 10.1063/1.4919532
[17]	Zhou Z Y, Qin W Y, Zhu P 2017 Mech. Syst. Signal Pr. 84 158 DOI: 10.1016/j.ymssp.2016.07.001
[18]	Wang B, Zhang Q C, Wang W, Feng J J 2018 Mech. Syst. Signal Pr. 112 305 DOI: 10.1016/j.ymssp.2018.04.027
[19]	Yang S, Cao Q J 2019 J. Stat. Mech.-Theory E 033405
[20]	Li H T, Qin W Y 2015 Nonlinear Dyn. 81 1751 DOI: 10.1007/s11071-015-2104-3
[21]	Li H T, Qin W Y, Lan C B, Deng W Z, Zhou Z Y 2016 Smart Mater. Struct. 25 015001 DOI: 10.1088/0964-1726/25/1/015001
[22]	Chen L Q, Jiang W A 2015 J. Appl. Mech. 82 031004 DOI: 10.1115/1.4029606
[23]	Cao D X, Leadenham S, Erturk A 2015 Eur. Phys. J. Special Topics 224 2867 DOI: 10.1140/epjst/e2015-02594-4
[24]	Jiang W A, Chen L Q, Ding H 2016 Nonlinear Dyn. 85 2507 DOI: 10.1007/s11071-016-2841-y
[25]	Chen L Q, Jiang W A, Panyam M, Daqaq M F 2016 J. Acoust Vib. 138 061007 DOI: 10.1115/1.4034253
[26]	Wu Y P, Ji H L, Qiu J H, Han L 2017 Sens. Actuators A-Phys. 264 1 DOI: 10.1016/j.sna.2017.06.029
[27]	Yang W, Towfighian S 2017 Smart Mater. Struct. 26 095008 DOI: 10.1088/1361-665X/aa791d
[28]	Yang W, Towfighian S 2017 Mech. Syst. Signal Pr. 90 317 DOI: 10.1016/j.ymssp.2016.12.032
[29]	Rocha R T, Balthazar J M, Tusset A M, Piccirillo V, Felix J L P 2017 Meccanica 52 2583 DOI: 10.1007/s11012-017-0633-1
[30]	Xiong L Y, Tang L T, Mace B R 2018 Nonlinear Dyn. 91 1817 DOI: 10.1007/s11071-017-3982-3
[31]	Liu H J, Gao X M 2019 Nonlinear Dyn. 96 1067 DOI: 10.1007/s11071-019-04839-4
[32]	Nie X C, Tan T, Yan Z M, Yan Z T, Hajj M R 2019 Int. J. Mech. Sci. 159 287 DOI: 10.1016/j.ijmecsci.2019.06.009
[33]	Pan J N, Qin W Y, Deng W Z, Zhou H L 2019 Chin. Phys. B 28 017701 DOI: 10.1088/1674-1056/28/1/017701
[34]	Tcheutchoua F D, Woafo P 2011 J. Vib. Acoust. 133 061018 DOI: 10.1115/1.4004938
[35]	Jerrelind J, Stensson A 2000 Chaos Solit. Fract. 11 2413 DOI: 10.1016/S0960-0779(00)00016-3
[36]	Wang Z, Chau K T 2008 Chaos Solit. Fract. 36 694 DOI: 10.1016/j.chaos.2006.06.105
[37]	Zhang H, Chen D, Xu B, Wang F 2015 Energy Convers. Manage. 90 128 DOI: 10.1016/j.enconman.2014.11.020
[38]	Yamapi R, Orou J B, Woafo P 2003 J. Sound Vib. 259 1253 DOI: 10.1006/jsvi.2002.5289
[39]	Mogo J B, Woafo P 2007 J. Comput. Nonlinear Dyn. 2 374
[40]	Kitio KC A, Nana B, Woafo P 2010 J. Sound Vib. 329 3137 DOI: 10.1016/j.jsv.2010.02.003
[41]	Domguia U S, Abobda L T, Woafo P 2016 J. Comput. Nonlin. Dyn. 11 051006
[42]	Simo H, Woafo P 2011 Mech. Res. Commun. 38 537 DOI: 10.1016/j.mechrescom.2011.07.007
[43]	Emam S A, Nayfeh A H 2013 Int. J. Nonlin. Mech. 52 12 DOI: 10.1016/j.ijnonlinmec.2013.01.018
[44]	Zhang W, Yang J H, Zhang Y F, Yang S W 2019 Eng. Struct. 198 109501 DOI: 10.1016/j.engstruct.2019.109501
[45]	Zhang W, Liu Y Z, Wu M Q 2019 Compos. Struct. 225 111140 DOI: 10.1016/j.compstruct.2019.111140
[46]	Zhang Y F, Zhang W, Yao Z G 2018 Eng. Struct. 173 89 DOI: 10.1016/j.engstruct.2018.04.100
[47]	Yao M H, Ma L, Zhang W 2018 Sci. Chin. E 61 1404 DOI: 10.1007/s11431-017-9179-0
[48]	Yao M H, Zhang W, Yao Z G 2015 J. Vib. Acoust. 137 011002 DOI: 10.1115/1.4028710
[49]	Zhang W, Zhang J H, Yao M H, Yao Z G 2010 Acta Mech. 211 23 DOI: 10.1007/s00707-009-0210-3
[50]	Zhang W, Yao Z G, Yao M H 2009 Sci. China Ser. E 52 731 DOI: 10.1007/s11431-009-0051-2
[51]	Zhang W, Zhao M H 2012 Nonlinear Dyn. 70 295 DOI: 10.1007/s11071-012-0455-6
[52]	Nathamgari S P, Dong S Y, Medina L 2019 Nano Lett. 19 4052 DOI: 10.1021/acs.nanolett.9b01442

Broadband energy harvesting based on one-to-one internal resonance

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

图/表 10

参考文献 52

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Yong-Tao Yu(于永涛) and Xiao-Li Yang(杨晓丽). Inverse stochastic resonance in modular neural network with synaptic plasticity[J]. 中国物理B, 2023, 32(3): 30201-030201.
[2]	Kheder Suleiman, Xuelan Zhang(张雪岚), Erhui Wang(王二辉),Shengna Liu(刘圣娜), and Liancun Zheng(郑连存). Anomalous diffusion in branched elliptical structure[J]. 中国物理B, 2023, 32(1): 10202-010202.
[3]	Zhi-Kun Li(李智坤) and Dong-Xi Li(李东喜). Inhibitory effect induced by fractional Gaussian noise in neuronal system[J]. 中国物理B, 2023, 32(1): 10203-010203.
[4]	Ya-Hui Sun(孙亚辉), Yuan-Hui Zeng(曾远辉), and Yong-Ge Yang(杨勇歌). Sparse identification method of extracting hybrid energy harvesting system from observed data[J]. 中国物理B, 2022, 31(12): 120203-120203.
[5]	Kheder Suleiman, Xue-Lan Zhang(张雪岚), Sheng-Na Liu(刘圣娜), and Lian-Cun Zheng(郑连存). Diffusion dynamics in branched spherical structure[J]. 中国物理B, 2022, 31(11): 110202-110202.
[6]	Gang Zhang(张刚), Yu-Jie Zeng(曾玉洁), and Zhong-Jun Jiang(蒋忠均). Characteristics of piecewise linear symmetric tri-stable stochastic resonance system and its application under different noises[J]. 中国物理B, 2022, 31(8): 80502-080502.
[7]	Yong Huang(黄勇) and Yang Li(李扬). Data-driven modeling of a four-dimensional stochastic projectile system[J]. 中国物理B, 2022, 31(7): 70501-070501.
[8]	Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐). Research and application of stochastic resonance in quad-stable potential system[J]. 中国物理B, 2022, 31(7): 70503-070503.
[9]	Yuhuai Zhang(张宇槐) and Jianjun Zhu(朱建军). Ergodic stationary distribution of a stochastic rumor propagation model with general incidence function[J]. 中国物理B, 2022, 31(6): 60202-060202.
[10]	Wei-Jing Zhu(朱薇静) and Bao-Quan Ai(艾保全). Ratchet transport of self-propelled chimeras in an asymmetric periodic structure[J]. 中国物理B, 2022, 31(4): 40503-040503.
[11]	Qing Yu(虞晴) and Xianbin Liu(刘先斌). A new simplified ordered upwind method for calculating quasi-potential[J]. 中国物理B, 2022, 31(1): 10502-010502.
[12]	Xiu-Xing Zhang(张修兴), Fang-Jv Li(李芳菊), Kai Wang(王凯), Jing Xue(薛晶), Guang-Wen Huo(霍广文), Ai-Ping Fang(方爱平), and Hong-Rong Li(李宏荣). Detection of multi-spin interaction of a quenched XY chain by the average work and the relative entropy[J]. 中国物理B, 2021, 30(9): 90504-090504.
[13]	Yanping Liu(刘艳平), Da He(何达), Yang Jiao(焦阳), Guoqiang Li(李国强), Yu Zheng(郑钰), Qihui Fan(樊琪慧), Gao Wang(王高), Jingru Yao(姚静如), Guo Chen(陈果), Silong Lou(娄四龙), and Liyu Liu(刘雳宇). Nonlinear dynamics of cell migration in anisotropic microenvironment[J]. 中国物理B, 2021, 30(9): 90505-090505.
[14]	Zhao-Rui Li(李召瑞), Bo-Hang Chen(陈博航), Hui-Xian Sun(孙慧贤), Guang-Kai Liu(刘广凯), and Shi-Lei Zhu(朱世磊). A sign-function receiving scheme for sine signals enhanced by stochastic resonance[J]. 中国物理B, 2021, 30(8): 80502-080502.
[15]	Lei Jiang(姜磊), Li Lai(赖莉), Tao Yu(蔚涛), Maokang Luo(罗懋康). Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency[J]. 中国物理B, 2021, 30(6): 60502-060502.