Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory
The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel...
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MDPI AG
2022-11-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/22/21/8453 |
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| author | Qichang Zhang Yucheng Yan Jianxin Han Shuying Hao Wei Wang |
| author_facet | Qichang Zhang Yucheng Yan Jianxin Han Shuying Hao Wei Wang |
| author_sort | Qichang Zhang |
| collection | DOAJ |
| description | The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel QEH system utilizing the geometric nonlinearity of springs is proposed. Static bifurcation analysis is carried out to design quad-stable working conditions. To investigate the cross-well and high-energy vibration, the complex dynamic frequency (CDF) method, suitable for both weakly and strongly nonlinear dynamic problems, is then applied to deduce the primary response solution. By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. Based on the transition set, the effective bandwidth for energy harvesting can be customized to adapt well to various vibration environments by parametric adjustment. Finally, the experimental tests verify that the output power can reach up to 1 mW. The proposed QEH and its mechanics optimization can guide energy supply for next-generation wireless systems and low-power sensors under magnetic forbidding environments. |
| first_indexed | 2024-03-09T18:39:43Z |
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| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T18:39:43Z |
| publishDate | 2022-11-01 |
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| spelling | doaj.art-052a0faa9e01460b8f9009ad6c350fd32023-11-24T06:48:18ZengMDPI AGSensors1424-82202022-11-012221845310.3390/s22218453Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation TheoryQichang Zhang0Yucheng Yan1Jianxin Han2Shuying Hao3Wei Wang4Tianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, ChinaTianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, ChinaTianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, ChinaTianjin Key Laboratory for Advanced Mechatronic System Design and Intelligent Control, School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, ChinaTianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, ChinaThe parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel QEH system utilizing the geometric nonlinearity of springs is proposed. Static bifurcation analysis is carried out to design quad-stable working conditions. To investigate the cross-well and high-energy vibration, the complex dynamic frequency (CDF) method, suitable for both weakly and strongly nonlinear dynamic problems, is then applied to deduce the primary response solution. By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. Based on the transition set, the effective bandwidth for energy harvesting can be customized to adapt well to various vibration environments by parametric adjustment. Finally, the experimental tests verify that the output power can reach up to 1 mW. The proposed QEH and its mechanics optimization can guide energy supply for next-generation wireless systems and low-power sensors under magnetic forbidding environments.https://www.mdpi.com/1424-8220/22/21/8453energy harvestermulti-stabilitybifurcation modesgeometric nonlinearity |
| spellingShingle | Qichang Zhang Yucheng Yan Jianxin Han Shuying Hao Wei Wang Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory Sensors energy harvester multi-stability bifurcation modes geometric nonlinearity |
| title | Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory |
| title_full | Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory |
| title_fullStr | Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory |
| title_full_unstemmed | Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory |
| title_short | Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory |
| title_sort | dynamic design of a quad stable piezoelectric energy harvester via bifurcation theory |
| topic | energy harvester multi-stability bifurcation modes geometric nonlinearity |
| url | https://www.mdpi.com/1424-8220/22/21/8453 |
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