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

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  • 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.

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    4. 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.
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    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).
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    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. 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.
    3. 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).
    4. 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).
    5. Tomasz Haniszewski & Maria Cieśla, 2022. "Energy Harvesting in the Crane-Hoisting Mechanism," Energies, MDPI, vol. 15(24), pages 1-22, December.
    6. 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).

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