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Response analysis of the archetypal smooth and discontinuous oscillator for vibration energy harvesting

Author

Listed:
  • Yang, Tao
  • Liu, Jiye
  • Cao, Qingjie

Abstract

In this paper, the archetypal smooth and discontinuous (SD) oscillator considered the gravity is presented for the electromagnetic vibration energy harvesting driven by stochastic environmental fluctuation. This oscillator is composed of a lumped mass connected with a vertical spring and a pair of horizontally springs, which can achieve the bistability widely used in vibration energy harvesting. Based on the stochastic averaging method, the analytical solutions of random responses are obtained and reveal interesting dynamics related to the stationary and transient properties of the device. Then, the influences of the system parameters on the mean square electric current and the mean output power are explored by an analytical method and validated by numerical simulation. Finally, the modelling of electromagnetic bistable harvester under the simultaneous action of harmonic and stochastic excitations is developed, and the condition for the occurrence of stochastic resonance is defined conventionally by the Kramers rate.

Suggested Citation

  • Yang, Tao & Liu, Jiye & Cao, Qingjie, 2018. "Response analysis of the archetypal smooth and discontinuous oscillator for vibration energy harvesting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 358-373.
    • Handle: RePEc:eee:phsmap:v:507:y:2018:i:c:p:358-373
    DOI: 10.1016/j.physa.2018.05.103
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    Citations

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    Cited by:

    1. Khaje khabaz, Moahamad & Eftekhari, S. Ali & Hashemian, Mohamad & Toghraie, Davood, 2020. "Optimal vibration control of multi-layer micro-beams actuated by piezoelectric layer based on modified couple stress and surface stress elasticity theories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).
    2. Siewe, M. Siewe & Kenfack, W. Fokou & Kofane, T.C., 2019. "Probabilistic response of an electromagnetic transducer with nonlinear magnetic coupling under bounded noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 26-35.
    3. Liang, Zaitao & Yang, Yanjuan, 2020. "Existence and stability of periodic oscillations of a smooth and discontinuous oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    4. 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).
    5. Deng, Hang & Ye, Jimin & Huang, Dongmei, 2023. "Design and analysis of a galloping energy harvester with V-shape spring structure under Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    6. Guo, Shu-Ling & Yang, Yong-Ge & Sun, Ya-Hui, 2021. "Stochastic response of an energy harvesting system with viscoelastic element under Gaussian white noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    7. Yang, Tao & Cao, Qingjie, 2020. "Dynamics and high-efficiency of a novel multi-stable energy harvesting system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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