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

doi:10.3390/en12122410

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

^*Corresponding author for this work

Mechanical, Biomedical & Design Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	2410
Journal	Energies
Volume	12
Issue number	12
DOIs	https://doi.org/10.3390/en12122410
Publication status	Published - 23 Jun 2019

Bibliographical note

© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

Funding: This research was funded by the National Natural Science Foundation of China, grant 11872044, 11772218 and 11702192; the International Exchanges Cost Share 2018 China (NSFC-RS) award (IEC\NSFC\181496); the Tianjin Research Programme of Application Foundation and Advanced Technology grant 17JCYBJC18900 and the National Key Research and Development Program of China grant 2018YFB0106200.

Keywords

Design
Dynamic response
Electromagnetic vibration energy harvester
Nonlinear Galerkin method
Optimization
Output power

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10.3390/en12122410Licence: CC BY 3.0

Bistable Electromagnetic Vibration Energy HarvesterFinal published version, 12.2 MBLicence: CC BY 3.0

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title = "Dynamic modeling and structural optimization of a bistable electromagnetic vibration energy harvester",

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 = "Design, Dynamic response, Electromagnetic vibration energy harvester, Nonlinear Galerkin method, Optimization, Output power",

author = "Bei Zhang and Qichang Zhang and Wei Wang and Jianxin Han and Xiaoli Tang and Fengshou Gu and Ball, {Andrew D.}",

note = "{\textcopyright} 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Funding: This research was funded by the National Natural Science Foundation of China, grant 11872044, 11772218 and 11702192; the International Exchanges Cost Share 2018 China (NSFC-RS) award (IEC\NSFC\181496); the Tianjin Research Programme of Application Foundation and Advanced Technology grant 17JCYBJC18900 and the National Key Research and Development Program of China grant 2018YFB0106200. ",

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AU - Gu, Fengshou

AU - Ball, Andrew D.

N1 - © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). Funding: This research was funded by the National Natural Science Foundation of China, grant 11872044, 11772218 and 11702192; the International Exchanges Cost Share 2018 China (NSFC-RS) award (IEC\NSFC\181496); the Tianjin Research Programme of Application Foundation and Advanced Technology grant 17JCYBJC18900 and the National Key Research and Development Program of China grant 2018YFB0106200.

PY - 2019/6/23

Y1 - 2019/6/23

N2 - 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.

AB - 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

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