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Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester

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Listed:
  • Bei Zhang

    (Tianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, China)

  • Qichang Zhang

    (Tianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, China)

  • Wei Wang

    (Tianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, China)

  • Jianxin Han

    (Tianjin Key Laboratory of High Speed Cutting and Precision Machining, School of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 300222, China)

  • Xiaoli Tang

    (School of Computing and Engineering, Huddersfield University, Queensgate, Huddersfield HD 1 3DH, UK)

  • Fengshou Gu

    (School of Computing and Engineering, Huddersfield University, Queensgate, Huddersfield HD 1 3DH, UK)

  • Andrew D. Ball

    (School of Computing and Engineering, Huddersfield University, Queensgate, Huddersfield HD 1 3DH, UK)

Abstract

A novel bistable electromagnetic vibration energy harvester (BEMH) is constructed and optimized in this study, based on a nonlinear system consisting mainly of a flexible membrane and a magnetic spring. A large-amplitude transverse vibration equation of the system is established with the general nonlinear geometry and magnetic force. Firstly, the mathematical model, considering the higher-order nonlinearities given by nonlinear Galerkin method, is applied to a membrane with a co-axial magnet mass and magnetic spring. Secondly, the steady vibration response of the membrane subjected to a harmonic base motion is obtained, and then the output power considering electromagnetic effect is analytically derived. On this basis, a parametric study in a broad frequency domain has been achieved for the BEMH with different radius ratios and membrane thicknesses. It is demonstrated that model predictions are both in close agreement with results from the finite element simulation and experiment data. Finally, the proposed efficient solution method is used to obtain an optimizing strategy for the design of multi-stable energy harvesters with the similar flexible structure.

Suggested Citation

  • Bei Zhang & Qichang Zhang & Wei Wang & Jianxin Han & Xiaoli Tang & Fengshou Gu & Andrew D. Ball, 2019. "Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester," Energies, MDPI, vol. 12(12), pages 1-19, June.
  • Handle: RePEc:gam:jeners:v:12:y:2019:i:12:p:2410-:d:242293
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    References listed on IDEAS

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    1. Abdelmoula, H. & Sharpes, N. & Abdelkefi, A. & Lee, H. & Priya, S., 2017. "Low-frequency Zigzag energy harvesters operating in torsion-dominant mode," Applied Energy, Elsevier, vol. 204(C), pages 413-419.
    2. Naseer, R. & Dai, H.L. & Abdelkefi, A. & Wang, L., 2017. "Piezomagnetoelastic energy harvesting from vortex-induced vibrations using monostable characteristics," Applied Energy, Elsevier, vol. 203(C), pages 142-153.
    3. Jianxiong Zhu & Aochen Wang & Haibing Hu & Hua Zhu, 2017. "Hybrid Electromagnetic and Triboelectric Nanogenerators with Multi-Impact for Wideband Frequency Energy Harvesting," Energies, MDPI, vol. 10(12), pages 1-11, December.
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    Cited by:

    1. Sungryong Bae & Pilkee Kim, 2021. "Load Resistance Optimization of a Broadband Bistable Piezoelectric Energy Harvester for Primary Harmonic and Subharmonic Behaviors," Sustainability, MDPI, vol. 13(5), pages 1-12, March.

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