Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity
Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. However, how to determine properly the distance between two magnets is one of the key engineering problems. In this paper, the Melnikov theory is introd...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/3584740 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555825793597440 |
|---|---|
| author | Zhongsheng Chen Bin Guo Congcong Cheng Hongwu Shi Yongmin Yang |
| author_facet | Zhongsheng Chen Bin Guo Congcong Cheng Hongwu Shi Yongmin Yang |
| author_sort | Zhongsheng Chen |
| collection | DOAJ |
| description | Nonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. However, how to determine properly the distance between two magnets is one of the key engineering problems. In this paper, the Melnikov theory is introduced to overcome it. Firstly, the Melnikov state-space model of the nonlinear piezoelectric vibration energy harvesting (PVEH) system is built. Based on it, chaotic dynamics mechanisms of achieving broadband PVEH by nonlinearity are exposed by potential function of the unperturbed nonlinear PVEH system. Then the corresponding Melnikov function of the nonlinear PVEH system is defined, based on which two Melnikov necessary conditions of determining the distance are obtained. Finally, numerical simulations are done to testify the theoretic results. The results demonstrate that the distance is closely related to the excitation amplitude and frequency once geometric and material parameters are fixed. Under a single-frequency excitation, the nonlinear PVEH system can generate a periodic vibration around a stable point, a large-amplitude vibration around two stable points, or a chaotic vibration. The proposed method is very valuable for optimally designing and utilizing nonlinear broadband PVEH devices in engineering applications. |
| format | Article |
| id | doaj-art-f97ed441085244c0a01d696504fcadbc |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f97ed441085244c0a01d696504fcadbc2025-02-03T05:47:09ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/35847403584740Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using NonlinearityZhongsheng Chen0Bin Guo1Congcong Cheng2Hongwu Shi3Yongmin Yang4Science and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaScience and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, ChinaNonlinear magnetic forces are always used to enlarge resonant bandwidth of vibration energy harvesting systems with piezoelectric cantilever beams. However, how to determine properly the distance between two magnets is one of the key engineering problems. In this paper, the Melnikov theory is introduced to overcome it. Firstly, the Melnikov state-space model of the nonlinear piezoelectric vibration energy harvesting (PVEH) system is built. Based on it, chaotic dynamics mechanisms of achieving broadband PVEH by nonlinearity are exposed by potential function of the unperturbed nonlinear PVEH system. Then the corresponding Melnikov function of the nonlinear PVEH system is defined, based on which two Melnikov necessary conditions of determining the distance are obtained. Finally, numerical simulations are done to testify the theoretic results. The results demonstrate that the distance is closely related to the excitation amplitude and frequency once geometric and material parameters are fixed. Under a single-frequency excitation, the nonlinear PVEH system can generate a periodic vibration around a stable point, a large-amplitude vibration around two stable points, or a chaotic vibration. The proposed method is very valuable for optimally designing and utilizing nonlinear broadband PVEH devices in engineering applications.http://dx.doi.org/10.1155/2016/3584740 |
| spellingShingle | Zhongsheng Chen Bin Guo Congcong Cheng Hongwu Shi Yongmin Yang Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity Shock and Vibration |
| title | Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity |
| title_full | Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity |
| title_fullStr | Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity |
| title_full_unstemmed | Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity |
| title_short | Chaotic Dynamics-Based Analysis of Broadband Piezoelectric Vibration Energy Harvesting Enhanced by Using Nonlinearity |
| title_sort | chaotic dynamics based analysis of broadband piezoelectric vibration energy harvesting enhanced by using nonlinearity |
| url | http://dx.doi.org/10.1155/2016/3584740 |
| work_keys_str_mv | AT zhongshengchen chaoticdynamicsbasedanalysisofbroadbandpiezoelectricvibrationenergyharvestingenhancedbyusingnonlinearity AT binguo chaoticdynamicsbasedanalysisofbroadbandpiezoelectricvibrationenergyharvestingenhancedbyusingnonlinearity AT congcongcheng chaoticdynamicsbasedanalysisofbroadbandpiezoelectricvibrationenergyharvestingenhancedbyusingnonlinearity AT hongwushi chaoticdynamicsbasedanalysisofbroadbandpiezoelectricvibrationenergyharvestingenhancedbyusingnonlinearity AT yongminyang chaoticdynamicsbasedanalysisofbroadbandpiezoelectricvibrationenergyharvestingenhancedbyusingnonlinearity |