EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 54 Issue 11
Oct.  2022
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Qian Youhua, Chen Yani. Bursting oscillations and energy harvesting efficiency analysis of bistable piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3157-3168. DOI: 10.6052/0459-1879-22-298
Citation: Qian Youhua, Chen Yani. Bursting oscillations and energy harvesting efficiency analysis of bistable piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3157-3168. DOI: 10.6052/0459-1879-22-298
shu

BURSTING OSCILLATIONS AND ENERGY HARVESTING EFFICIENCY ANALYSIS OF BISTABLE PIEZOELECTRIC ENERGY HARVESTER

  • College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

  • Received Date: July 06, 2022
  • Accepted Date: August 25, 2022
  • Available Online: August 26, 2022
    Graphical Abstract
    • Abstract
  • This paper theoretically analyzes the dynamic behavior of the bistable piezoelectric energy harvester by high-frequency excitation and the bursting oscillation by low-frequency excitation, in order to find multiple high-energy orbits for the system, so as to improve the energy harvesting efficiency. First, the structure and general model of the bistable piezoelectric energy harvester are introduced. Different from the research in engineering, this paper mainly studies the motion, voltage output and efficiency of the energy harvester in terms of dynamics, including the in-well low-energy-periodic motion and the inter-well chaos motion by high-frequency excitation. It is shown that the bistable piezoelectric energy harvester will produce bursting oscillation in inter-well high-energy orbits by a single low-frequency excitation, but only has periodic motion in in-well low-energy orbits. At the same time, the existence and intensity of the bursting oscillation are investigated in combination with the amplitude and well depth. To explain the effects of high- energy and low-energy orbits on the energy harvesting efficiency, the variation of the output voltage for different values of equivalent damping and load resistance is discussed, and the optimal matching is derived. Finally, in the case of multiple low-frequency external excitations, different orbital combination modes are analyzed. It is found that the output voltage of double-high-energy bursting oscillation mode is the largest, followed by the combination mode of single-high-energy bursting oscillation and single-low-energy periodic oscillation, and the output voltage of double-low-energy periodic oscillation mode is the lowest. The comparison with single external excitation shows the good performance of multiple excitations.
    • FullText(HTML)
    • References (37)
  • [1]
    Yao MH,  Wang XF,  Wu QL,  et al. Dynamic analysis and design of power management circuit of the nonlinear electromagnetic energy harvesting device for the automobile suspension. Mechanical Systems and Signal Processing, 2022, 170: 108831 doi: 10.1016/j.ymssp.2022.108831
    [2]
    Wang XW, Wang CS, Du JJ. Application of wireless sensor in bridge quality inspection of cross-sea steel frame structure. Journal of Coastal Research, 2020, 115: 4-6 doi: 10.2112/JCR-SI115-002.1
    [3]
    Wang J, Hu XX, Wang B, et al. A novel two-degree-of-freedom spherical ultrasonic motor using three travelling-wave type annular stators. Journal of Central South University, 2015, 4: 1298-1306
    [4]
    Yasuyuki N, Keisuke U. Electrostatic MEMS vibration energy harvesters inside of Tire Treads. Sensors, 2019, 19(4): 890
    [5]
    Lin BW, Wang YH, Qian YH, et al. Bursting oscillation and its mechanism of the flow-induced vibration piezoelectric energy harvester with magnets by low-frequency excitation. The European Physical Journal Special Topics, 2022, in press, doi: 10.1140/epjs/s11734-022-00481-1
    [6]
    Erturk A. On Mechanical modeling of cantilevered piezoelectric vibration energy harvesters. Journal of Intelligent Material Systems and Structures, 2008, 19(11): 1311-1325 doi: 10.1177/1045389X07085639
    [7]
    Erturk A, Inman DJ. Piezoelectric Energy Harvesting. Wiley, 2011
    [8]
    Moon FC, Holmes PJ. A magnetoelastic strange attractor. Journal of Sound and Vibration, 1979, 65(2): 275-296 doi: 10.1016/0022-460X(79)90520-0
    [9]
    Erturk A, Inman DJ. Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling. Journal of Sound and Vibration, 2010, 330(10): 2339-2353
    [10]
    Stanton SC, McGehee CC, Mann BP. Reversible hysteresis for broadband magnetopiezoelastic energy harvesting. Applied Physics Letters, 2009, 95: 174103 doi: 10.1063/1.3253710
    [11]
    Stanton SC, McGehee CC, Mann BP. Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator. Physica D: Nonlinear Phenomena, 2010, 239(10): 640-653 doi: 10.1016/j.physd.2010.01.019
    [12]
    高鸣源, 李守太, 孙玉华等. 多稳态电磁俘能系统的非线性动力学实验研究. 振动工程学报, 2021, 34(4): 775-781 (Gao Mingyuan, Li Shoutai, Sun Yuhua, et al. Experimental study of non-linear dynamics of multi-stable electromagnetic energy harvesting system. Journey of Vibration Engineering, 2021, 34(4): 775-781 (in Chinese) doi: 10.16385/j.cnki.issn.1004-4523.2021.04.014
    [13]
    田海港, 单小彪, 张居彬等. 翼型颤振压电俘能器的输出特性研究. 力学学报, 2021, 53(11): 3016-3024 (Tian Haigang, Shan Xiaobiao, Zhang Jubin, et al. Output characteristics investigation of airfoil-based flutter piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(11): 3016-3024 (in Chinese) doi: 10.6052/0459-1879-21-377
    [14]
    曹东兴, 高彦辉, 张伟. 附磁阶梯变厚度悬臂梁压电俘能器的理论建模及分析. 固体力学学报, 2019, 5: 403-416 (Cao Dongxing, Gao Yanwei, Zhang Wei. Theoretical modeling and analysis of piezoelectric energy harvesting of cantilever beam with variable thickness of magnetic step. Journey of Solid Mechanics, 2019, 5: 403-416 (in Chinese) doi: 10.19636/j.cnki.cjsm42-1250/o3.2019.028
    [15]
    曹东兴, 马鸿博, 张伟. 附磁压电悬臂梁流致振动俘能特性分析. 力学学报, 2019, 4: 1148-1155 (Cao Dongxing, Ma Hongbo, Zhang Wei. Analysis on the characteristics of flow vibration harvesting energy of a piezoelectric cantilever beam. Chinese Journal of Theoretical and Applied Mechanics, 2019, 4: 1148-1155 (in Chinese) doi: 10.6052/0459-1879-18-426
    [16]
    张伟, 刘爽, 毛佳佳等. 磁耦合式双稳态宽频压电俘能器的设计和俘能特性. 力学学报, 2022, 54(4): 1102-1112 (Zhang Wei, Liu Shuang, Mao Jiajia, et al. Design and energy capture characteristics of magnetically coupled bistable wide piezoelectric energy harvester. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(4): 1102-1112 doi: 10.6052/0459-1879-21-676
    [17]
    郭纪元, 樊康旗, 张妍等. 线绳驱动转速提升式低频俘能器的设计与研究. 力学学报, 2021, 53(11): 3025-3034 (Guo Jiyuan, Fan Kangqi, Zhang Yan. Development of a low-frequency harvester based on a rope-driven rotor with rotation speed up-regulation function. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(11): 3025-3034 doi: 10.6052/0459-1879-21-469
    [18]
    陈楠, 刘京睿, 魏廷存. 面向压电振动能量俘获的电能管理电路综述. 力学学报, 2021, 53(11): 2928-2940 (Chen Nan, Liu Jingrui, Wei Tingcun. Review of energy management circuits for piezoelectric vibration energy harvesters. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(11): 2928-2940 (in Chinese) doi: 10.6052/0459-1879-21-440
    [19]
    Andreas P,  Esther KP,  Takafumi U,  et al. Imperceptible energy harvesting device and biomedical sensor based on ultraflexible ferroelectric transducers and organic diodes. Nature Communications, 2021, 12(1): 2399 doi: 10.1038/s41467-021-22663-6
    [20]
    王胜杰, 韩翻珍, 郭翔鹰. 新型双稳态屈曲梁结构的低频跳跃稳定性分析. 哈尔滨工程大学学报, 2022, 9: 1-7 (Wang Shengjie, Han Fanzhen, Guo Xiangying. Snap-through stability analysis of novel bistable buckling beam structures. Journal of Harbin Engineering University, 2022, 9: 1-7 (in Chinese)
    [21]
    Rinzel J. Bursting oscillations in an excitable membrane model. Ordinary and Partial Differential Equations, 1985, 1151: 304-316
    [22]
    Izhikevich EM. Neural excitablity, spiking and bursting. International Journal of Bifurcation and Chaos, 2000, 10(6): 1171-1266 doi: 10.1142/S0218127400000840
    [23]
    Qian YH, Meng WJ. Mixed-mode oscillation in a class of delayed feedback system and multistability dynamic response. Complexity, 2020, 2020: 4871068
    [24]
    Qian YH, Yan DM. Fast slow dynamics analysis of a coupled duffing system with periodic excitation. International Journal of Bifurcation and Chaos, 2016, 28(8): 1850148
    [25]
    Chen XK, Li SL, Zhang ZD, et al. Relaxation oscillations induced by an order gap between exciting frequency and natural frequency. Science China Technological Sciences, 2017, 60(2): 289-298 doi: 10.1007/s11431-015-0839-2
    [26]
    Lin Y, Liu WB, Bao H, et al. Bifurcation mechanism of periodic bursting in a simple three-element-based memristive circuit with fast-slow effect. Chaos, Solitons and Fractals, 2020, 131(3): 109524
    [27]
    Han XJ, Bi QS, Zhang C, et al. Study of mixed-mode oscillations in a parametrically excited van der Pol system. Nonlinear Dynamics, 2014, 77(4): 1285-1296 doi: 10.1007/s11071-014-1377-2
    [28]
    Han XJ, Yu Y, Zhang C, et al. Turnover of hysteresis determines novel bursting in Duffing system with multiple-frequency external forcings. International Journal of Non-Linear Mechanics, 2017, 89: 69-74 doi: 10.1016/j.ijnonlinmec.2016.11.008
    [29]
    Han XJ, Zhang Y, Bi QS, et al. Two novel bursting patterns in the Duffing system with multiple-frequency slow parametric excitations. Chaos, 2018, 28: 043111 doi: 10.1063/1.5012519
    [30]
    Jiang WA, Han XJ, Chen LQ, et al. Bursting vibration-based energy harvesting. Nonlinear Dynamics, 2020, 100: 3043-3060 doi: 10.1007/s11071-020-05712-5
    [31]
    Jiang WA, Ma XD, Liu M, et al. Exploiting bursting oscillations to improve energy capture from slowly changing excitation. Journal of Vibration Engineering & Technologies, 2021, 9: 1923-1939
    [32]
    Ma XD, Jiang WA, Zhang XF, et al. Complex bursting dynamics of a Mathieu-van der Pol-Duffing energy harvester. Physica Scripta, 2021, 96: 015213 doi: 10.1088/1402-4896/abcad1
    [33]
    Chen ZY, Jiang WA, Chen LQ, et al. Bursting analysis of multi-stable nonlinear mechanical oscillator and its application in energy harvesting. The European Physical Journal Special Topics, 2021, in press, doi: 10.1140/epjs/s11734-021-00377-6
    [34]
    Wu TY, Jiang WA, Bi QS. Bursting energy harvesting of shape memory oscillator. Journal of Vibration Engineering & Technologies, 2022, 10: 985-994
    [35]
    马新东, 姜文安, 张晓芳等. 一类三维非线性系统的复杂簇发振荡行为及其机. 力学学报, 2020, 52(6): 1789-1799 (Ma Xindong, Jiang Wenan, Zhang Xiaofang, et al. The complex bursting oscillation behavior and its mechanism of a class of three-dimensional nonlinear systems. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1789-1799 (in Chinese)
    [36]
    郑健康, 张晓芳, 毕勤胜. 一类混沌系统中的簇发振荡及其延迟叉形分岔行为. 力学学报, 2019, 51(2): 540-549 (Zheng Jiankang, Zhang Xiaofang, Bi Qinsheng. Bursting oscillation and delayed fork bifurcation in a class of chaotic systems. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 540-549 (in Chinese) doi: 10.6052/0459-1879-18-241
    [37]
    Paula ASD, Inman DJ, Savi MA. Energy harvesting in a nonlinear piezomagnetoelastic beam subjected to random excitation. Mechanical Systems and Signal Processing, 2015, 54: 405-416
    • Related Articles

  • Related Articles

    [1]Wei Chang, Fan Yuchen, Zhou Yongqing, Liu Xin, Zhang Chaoqun, Wang Heyang. MULTI-OUTPUT PHYSICS-INFORMED NEURAL NETWORKS MODEL BASED ON THE RUNGE-KUTTA METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(10): 2405-2416. DOI: 10.6052/0459-1879-23-299
    [2]Mao Xinhui, Zhang Jiyuan, Qi Huan, Qiu Changquan, Shen Weihe, Tian Jianguo, Wang Fei, Tao Kai. AN ULTRA-LOW FREQUENCY ELECTROMAGNETIC VIBRATION ENERGY HARVESTER WITH WATT-LEVEL OUTPUT DRIVEN BY THE HELICAL CLUTCH FREQUENCY-UPGRADING MECHANISM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(10): 2168-2177. DOI: 10.6052/0459-1879-23-362
    [3]Zhang Xin, Wang Xunnian. RESEARCH PROGRESS AND OUTLOOK OF FLOW FIELD CREATED BY DIELECTRIC BARRIER DISCHARGE PLASMA ACTUATORS DRIVEN BY A SINUSOIDAL ALTERNATING CURRENT HIGH-VOLTAGE POWER[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 285-298. DOI: 10.6052/0459-1879-22-377
    [4]Tian Haigang, Shan Xiaobiao, Zhang Jubin, Sui Guangdong, Xie Tao. OUTPUT CHARACTERISTICS INVESTIGATION OF AIRFOIL-BASED FLUTTER PIEZOELECTRIC ENERGY HARVESTER[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(11): 3016-3024. DOI: 10.6052/0459-1879-21-377
    [5]Huang Zhilai, Li Xinyuan, Jin Dongping. OUTPUT CHARACTERISTIC ANALYSIS OF SINGLE GIMBAL CONTROL MOMENT GYROSCOPE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(2): 511-523. DOI: 10.6052/0459-1879-20-306
    [6]Liu Junli, Guan Cuizhong, Hua Fang. ANALYSIS OF THE OUTPUT AND ACADEMIC INFLUENCE OF THE CHINESE JOURNAL OF THEORETICAL AND APPLIED MECHANICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1557-1564. DOI: 10.6052/0459-1879-19-252
    [7]Pang Zhaojun, Jin Dongping. EXPERIMENTAL VERIFICATION OF CHAOTIC ATTITUDE MOTIONOF TETHERED SPACECRAFT SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(3): 503-512. DOI: 10.6052/0459-1879-14-308
    [8]Wenrui Hao Zhenzhou Lv Pengfei Wei. Importance measure of correlated variables in polynomial output[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(1): 167-173. DOI: 10.6052/0459-1879-2012-1-lxxb2011-056
    [9]AN ADAPTIVE CONTROL STRATEGY FOR DIRECTING CHAOTIC MOTION TO PERIODIC MOTION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(5): 631-635. DOI: 10.6052/0459-1879-1997-5-1995-277
    [10]利用对称性寻找浑沌运动[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 380-384. DOI: 10.6052/0459-1879-1993-3-1995-656

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (947) PDF downloads (182) Cited by()
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return