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

Bei Zhang, Qichang Zhang, Wei Wang, Jianxin Han, Xiaoli Tang, Fengshou Gu and Andrew D. Ball
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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

Energies, 2019, vol. 12, issue 12, 1-19

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.

Keywords: electromagnetic vibration energy harvester; nonlinear Galerkin method; dynamic response; output power; design and optimization (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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