IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v307y2022ics030626192101432x.html
   My bibliography  Save this article

Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness

Author

Listed:
  • Margielewicz, Jerzy
  • Gąska, Damian
  • Litak, Grzegorz
  • Wolszczak, Piotr
  • Yurchenko, Daniil

Abstract

This paper presents the results of modelling a new nonlinear multi-stable QZEH (quasi-zero energy harvester) system for harvesting energy from vibrating mechanical devices. Detailed tests were carried out on the system model, which consisted of a beam and a system of springs, which were used to determine the potential of a quasi-flat well. Two-dimensional distributions of the Lyapunov exponent were output from the numerical model, using the assumed range of variability within the control parameters, and plotted as a map in multi-color. These maps are related to diagrams of the RMS values of the voltage that is induced on the piezoelectric electrodes. To identify the optimal conditions for harvesting energy from mechanical vibrations, a multi-colored map of the RMS voltage values was produced. Its reference to the Lyapunov distribution map, showed that in the chaotic motion zones, energy harvesting is reduced. Based on the established sections of the Lyapunov exponent, diagrams of solutions (DS) showing the number of coexisting solutions and their periodicity were drawn. Multiple solutions and basins of attraction have been identified. On their basis it was possible to estimate the probability of obtaining a solution with the greatest energy harvesting efficiency. Moreover, a method of acting on the solution trajectory, by means of an impulse initiated at a specific moment in time, has been proposed. The results of the model tests were visualized as multi-colored maps of impulse excitations. The direct reference of the results of QZEH model tests to the tristable energy harvesting (TEH) system clearly indicates the advisability of using the QZEH system in terms of higher excitation amplitudes. The QZEH system also shows an improved ability to harvest energy in the low range of values of excitation frequencies.

Suggested Citation

  • Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Wolszczak, Piotr & Yurchenko, Daniil, 2022. "Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness," Applied Energy, Elsevier, vol. 307(C).
    • Handle: RePEc:eee:appene:v:307:y:2022:i:c:s030626192101432x
    DOI: 10.1016/j.apenergy.2021.118159
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030626192101432X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2021.118159?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhou, Shengxi & Cao, Junyi & Inman, Daniel J. & Lin, Jing & Liu, Shengsheng & Wang, Zezhou, 2014. "Broadband tristable energy harvester: Modeling and experiment verification," Applied Energy, Elsevier, vol. 133(C), pages 33-39.
    2. Stefanski, Andrzej & Dabrowski, Artur & Kapitaniak, Tomasz, 2005. "Evaluation of the largest Lyapunov exponent in dynamical systems with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1651-1659.
    3. Grzegorz Litak & Jerzy Margielewicz & Damian Gąska & Piotr Wolszczak & Shengxi Zhou, 2021. "Multiple Solutions of the Tristable Energy Harvester," Energies, MDPI, vol. 14(5), pages 1-17, February.
    4. Chehouri, Adam & Younes, Rafic & Ilinca, Adrian & Perron, Jean, 2015. "Review of performance optimization techniques applied to wind turbines," Applied Energy, Elsevier, vol. 142(C), pages 361-388.
    5. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz, 2019. "Evolution of the geometric structure of strange attractors of a quasi-zero stiffness vibration isolator," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 47-57.
    6. Lallart, Mickaël & Zhou, Shengxi & Yang, Zhichun & Yan, Linjuan & Li, Kui & Chen, Yu, 2020. "Coupling mechanical and electrical nonlinearities: The effect of synchronized discharging on tristable energy harvesters," Applied Energy, Elsevier, vol. 266(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Yurchenko, Daniil & Wolszczak, Piotr & Dymarek, Andrzej & Dzitkowski, Tomasz, 2023. "Influence of the configuration of elastic and dissipative elements on the energy harvesting efficiency of a tunnel effect energy harvester," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Yang, Tao & Liu, Jiayi & Luo, Hongchun & Li, Zhixin, 2024. "Improving the performance of nonlinear isolator through triboelectric nanogenerator damper integrating energy harvesting," Energy, Elsevier, vol. 293(C).
    3. Zhiwen Chen & Zhongsheng Chen & Yongxiang Wei, 2022. "Quasi-Zero Stiffness-Based Synchronous Vibration Isolation and Energy Harvesting: A Comprehensive Review," Energies, MDPI, vol. 15(19), pages 1-23, September.
    4. Gong, Xulu & Xu, Pengfei & Liu, Di & Zhou, Biliu, 2023. "Stochastic resonance of multi-stable energy harvesting system with high-order stiffness from rotational environment," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    5. Zhang, Tingsheng & Wu, Xiaoping & Pan, Yajia & Luo, Dabing & Xu, Yongsheng & Zhang, Zutao & Yuan, Yanping & Yan, Jinyue, 2022. "Vibration energy harvesting system based on track energy-recycling technology for heavy-duty freight railroads," Applied Energy, Elsevier, vol. 323(C).
    6. Tomasz Haniszewski & Maria Cieśla, 2022. "Energy Harvesting in the Crane-Hoisting Mechanism," Energies, MDPI, vol. 15(24), pages 1-22, December.
    7. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Haniszewski, Tomasz & Wolszczak, Piotr & Trigona, Carlo, 2023. "Influence of the potential barrier switching frequency on the effectiveness of energy harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Yurchenko, Daniil & Wolszczak, Piotr & Dymarek, Andrzej & Dzitkowski, Tomasz, 2023. "Influence of the configuration of elastic and dissipative elements on the energy harvesting efficiency of a tunnel effect energy harvester," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Tomasz Haniszewski & Maria Cieśla, 2022. "Energy Harvesting in the Crane-Hoisting Mechanism," Energies, MDPI, vol. 15(24), pages 1-22, December.
    3. Qin, Jian & Zhang, Zhenquan & Huang, Shuting & Wang, Wei & Liu, Yanjun & Xue, Gang, 2024. "Energy capture performance enhancement of point absorber wave energy converter using magnetic tristable and quadstable mechanisms," Renewable Energy, Elsevier, vol. 221(C).
    4. Zou, Donglin & Liu, Gaoyu & Rao, Zhushi & Tan, Ting & Zhang, Wenming & Liao, Wei-Hsin, 2021. "Design of a multi-stable piezoelectric energy harvester with programmable equilibrium point configurations," Applied Energy, Elsevier, vol. 302(C).
    5. Wang, Chen & Lai, Siu-Kai & Wang, Jia-Mei & Feng, Jing-Jing & Ni, Yi-Qing, 2021. "An ultra-low-frequency, broadband and multi-stable tri-hybrid energy harvester for enabling the next-generation sustainable power," Applied Energy, Elsevier, vol. 291(C).
    6. Yijun Zhu & Huilin Shang, 2022. "Global Dynamics of the Vibrating System of a Tristable Piezoelectric Energy Harvester," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    7. Grzegorz Litak & Jerzy Margielewicz & Damian Gąska & Piotr Wolszczak & Shengxi Zhou, 2021. "Multiple Solutions of the Tristable Energy Harvester," Energies, MDPI, vol. 14(5), pages 1-17, February.
    8. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Haniszewski, Tomasz & Wolszczak, Piotr & Trigona, Carlo, 2023. "Influence of the potential barrier switching frequency on the effectiveness of energy harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    9. Meng, Hang & Lien, Fue-Sang & Yee, Eugene & Shen, Jingfang, 2020. "Modelling of anisotropic beam for rotating composite wind turbine blade by using finite-difference time-domain (FDTD) method," Renewable Energy, Elsevier, vol. 162(C), pages 2361-2379.
    10. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz, 2019. "Evolution of the geometric structure of strange attractors of a quasi-zero stiffness vibration isolator," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 47-57.
    11. Khazaee, Majid & Huber, John E. & Rosendahl, Lasse & Rezania, Alireza, 2021. "The investigation of viscous and structural damping for piezoelectric energy harvesters using only time-domain voltage measurements," Applied Energy, Elsevier, vol. 285(C).
    12. Mauro, S. & Lanzafame, R. & Messina, M. & Brusca, S., 2023. "On the importance of the root-to-hub adapter effects on HAWT performance: A CFD-BEM numerical investigation," Energy, Elsevier, vol. 275(C).
    13. Dongmei Huang & Shengxi Zhou & Zhichun Yang, 2019. "Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow-Band Stochastic Parametric Excitations," Complexity, Hindawi, vol. 2019, pages 1-20, December.
    14. Chen, Lin & Liao, Xin & Sun, Beibei & Zhang, Ning & Wu, Jianwei, 2022. "A numerical-experimental dynamic analysis of high-efficiency and broadband bistable energy harvester with self-decreasing potential barrier effect," Applied Energy, Elsevier, vol. 317(C).
    15. Rasel, Mohammad Sala Uddin & Park, Jae-Yeong, 2017. "A sandpaper assisted micro-structured polydimethylsiloxane fabrication for human skin based triboelectric energy harvesting application," Applied Energy, Elsevier, vol. 206(C), pages 150-158.
    16. Hasager, C. & Vejen, F. & Bech, J.I. & Skrzypiński, W.R. & Tilg, A.-M. & Nielsen, M., 2020. "Assessment of the rain and wind climate with focus on wind turbine blade leading edge erosion rate and expected lifetime in Danish Seas," Renewable Energy, Elsevier, vol. 149(C), pages 91-102.
    17. Zhou, Biliu & Jin, Yanfei & Xu, Huidong, 2022. "Global dynamics for a class of tristable system with negative stiffness," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    18. Huguet, Thomas & Badel, Adrien & Druet, Olivier & Lallart, Mickaël, 2018. "Drastic bandwidth enhancement of bistable energy harvesters: Study of subharmonic behaviors and their stability robustness," Applied Energy, Elsevier, vol. 226(C), pages 607-617.
    19. Yildirim, Tanju & Ghayesh, Mergen H. & Li, Weihua & Alici, Gursel, 2017. "A review on performance enhancement techniques for ambient vibration energy harvesters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 435-449.
    20. Albara M. Mustafa & Abbas Barabadi, 2022. "Criteria-Based Fuzzy Logic Risk Analysis of Wind Farms Operation in Cold Climate Regions," Energies, MDPI, vol. 15(4), pages 1-17, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:307:y:2022:i:c:s030626192101432x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.