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

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

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number2410
Pages (from-to)1-19
Number of pages19
JournalEnergies
Volume12
Issue number12
DOIs
Publication statusPublished - 23 Jun 2019

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Harvesters
Structural optimization
Structural Optimization
Dynamic Modeling
Membrane
Vibration
Membranes
Energy
Nonlinear Galerkin Method
Magnetoelectric effects
Magnetic Force
Flexible Structure
Flexible structures
Coaxial
Finite Element Simulation
Galerkin methods
Efficient Solution
Prediction Model
Magnets
Frequency Domain

Cite this

Zhang, Bei ; Zhang, Qichang ; Wang, Wei ; Han, Jianxin ; Tang, Xiaoli ; Gu, Fengshou ; Ball, Andrew D. / Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester. In: Energies. 2019 ; Vol. 12, No. 12. pp. 1-19.
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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.",
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Dynamic Modeling and Structural Optimization of a Bistable Electromagnetic Vibration Energy Harvester. / Zhang, Bei; Zhang, Qichang; Wang, Wei; Han, Jianxin; Tang, Xiaoli; Gu, Fengshou; Ball, Andrew D.

In: Energies, Vol. 12, No. 12, 2410, 23.06.2019, p. 1-19.

Research output: Contribution to journalArticle

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AU - Wang, Wei

AU - Han, Jianxin

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AU - Ball, Andrew D.

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