Numerical analysis and experimental verification of broadband tristable energy harvesters
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Shengxi Zhou
Shengxi Zhou received the B.Sc. in mechanical design, manufacturing and automation from Southwest University, Chongqing, China in 2010, and M.Sc., and Ph.D. degrees in mechanical engineering from Xi’an Jiaotong University, Xi’an, China, in 2013 and 2016, respectively. From February to November 2017, he was a Postdoctoral Associate at Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, USA.He is currently a Professor with School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, China. His main research interests focus on energy harvesting, nonlinear vibration, and system identification.
Junyi Cao received the B. S. and M. S. degrees from Xi’an Polytechnic University, Xi’an, China, in 2000 and 2003, respectively, and the Ph.D. degree in mechanical engineering from Xi’an Jiaotong University, Xi’an, in 2006.He is currently a Professor with the School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, China. His main research interests include dynamic analysis and the fault diagnosis of mechatronic systems, fractional calculus and its applications, and energy harvesting.
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Grzegorz Litak
Grzegorz Litak completed his M. Sc. degree in physics at Maria Curie-Sklodowska University (UMCS) in Lublin, Poland in 1988. Later, working on the effect of disorder on superconductors, he received his Ph. D. (1994) and D. Sc. (2002) degrees from the same University.After defending his Ph. D. thesis he moved to Technical University in Lublin where he is presently working as a full professor and a head of Department of Automation. From 1994 he also started his research on mechanical engineering, production engineering, and nonlinear dynamics. He focused on bifurcation theory, chaotic dynamics and nonlinear time series analysis. He was also involved in research on mechanical energy harvesting, focusing on frequency broadband effects.From 2016 prof. Litak works also at AGH University of Science and Technology. G. Litak published over 250 papers including about 180 in international journals.
Jing Lin received the B. Sc., M. Sc., and Ph. D. degrees in mechanical engineering from Xi’an Jiaotong University, Xi’an, China, in 1993, 1996, and 1999, respectively. He was a Postdoctoral Fellow and a Research Associate from July 2001 to August 2003, respectively, at the University of Alberta, Edmonton, AB, Canada, and the University of Wisconsin–Milwaukee, Milwaukee, WI, USA. From September 2003 to December 2008, he was a Research Scientist at the Institute of Acoustics, Chinese Academy of Science, under the sponsorship of the Hundred Talents Program.He is currently a Professor with the State Key Laboratory for Manufacturing System Engineering, Xi’an Jiaotong University, Xi’an, China. His research interests include mechanical system reliability, fault diagnosis, and prognostics. He was also involved in research on energy harvesting.
Abstract
This paper analyzes the dynamic characteristics of broadband tristable energy harvesters to reveal their response mechanism via a bifurcation diagram, the corresponding frequency spectral analysis and the phase portrait topology. The bifurcation diagram of response voltages shows that tristable energy harvesters orderly undergoes singly periodic intrawell oscillation, singly periodic interwell oscillation, triply periodic interwell oscillation, singly periodic interwell oscillation, double-periodic interwell oscillation, chaotic oscillation, singly periodic interwell oscillation, multi-period oscillation, and finally enters into chaotic oscillation range, as the increase of the excitation amplitude. The frequency spectral analysis demonstrates that sub-harmonics and super-harmonics numerically and experimentally exist in the response voltages of tristable energy harvesters. In addition, it is found that both the first harmonic and the third harmonic are main frequency components in the response voltages.
Zusammenfassung
In dieser Arbeit werden die dynamischen Eigenschaften von breitbandigen, tristabilen Energy-Harvestern analysiert, um deren Systemverhalten über das Verzweigungsdiagramm, die entsprechende Spektralanalyse und die Phasenporträt-Topologie aufzudecken. Das Verzweigungsdiagramm der Ausgangsspannungen zeigt, dass tristabile Energy-Harvester mit zunehmender Anregungsamplitude folgende Bereiche durchlaufen. Zunächst einfach-periodische Zonen um ein lokales Minimum, einfach-periodische Zonen zwischen zwei lokalen Minima, dreifach-periodische Zonen um ein lokales Minimum, zweiperiodische Zonen zwischen zwei lokalen Minima und chaotische Zonen um ein lokales Minimum durchlaufen und schließlich rein chaotisches Verhalten zeigen. Die Spektralanalyse zeigt, dass Subharmonische und Superharmonische numerisch und experimentell in den Ausgangsspannungen von tristabilen Energy Harvestern nachgewiesen werden können. Zusätzlich zeigt sich, dass sowohl die erste Harmonische als auch die dritte Harmonische die Hauptspektralkomponenten der Ausgangsspannung sind.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 51421004
Award Identifier / Grant number: 51575426
Funding source: Program for New Century Excellent Talents in University
Award Identifier / Grant number: NCET-12-0453
Funding statement: This project has been supported by the National Natural Science Foundation of China (Grant No. 51421004, 51575426), Program for New Century Excellent Talents in University (Grant No. NCET-12-0453), and Fundamental Research Funds for the Central Universities of China (Grant No. CXTD2014001); Grzegorz Litak gratefully acknowledges the support of the Polish National Science Center under Grant No. 2012/05/B/ST8/00080.
About the authors
Shengxi Zhou received the B.Sc. in mechanical design, manufacturing and automation from Southwest University, Chongqing, China in 2010, and M.Sc., and Ph.D. degrees in mechanical engineering from Xi’an Jiaotong University, Xi’an, China, in 2013 and 2016, respectively. From February to November 2017, he was a Postdoctoral Associate at Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, USA.He is currently a Professor with School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, China. His main research interests focus on energy harvesting, nonlinear vibration, and system identification.
Junyi Cao received the B. S. and M. S. degrees from Xi’an Polytechnic University, Xi’an, China, in 2000 and 2003, respectively, and the Ph.D. degree in mechanical engineering from Xi’an Jiaotong University, Xi’an, in 2006.He is currently a Professor with the School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, China. His main research interests include dynamic analysis and the fault diagnosis of mechatronic systems, fractional calculus and its applications, and energy harvesting.
Grzegorz Litak completed his M. Sc. degree in physics at Maria Curie-Sklodowska University (UMCS) in Lublin, Poland in 1988. Later, working on the effect of disorder on superconductors, he received his Ph. D. (1994) and D. Sc. (2002) degrees from the same University.After defending his Ph. D. thesis he moved to Technical University in Lublin where he is presently working as a full professor and a head of Department of Automation. From 1994 he also started his research on mechanical engineering, production engineering, and nonlinear dynamics. He focused on bifurcation theory, chaotic dynamics and nonlinear time series analysis. He was also involved in research on mechanical energy harvesting, focusing on frequency broadband effects.From 2016 prof. Litak works also at AGH University of Science and Technology. G. Litak published over 250 papers including about 180 in international journals.
Jing Lin received the B. Sc., M. Sc., and Ph. D. degrees in mechanical engineering from Xi’an Jiaotong University, Xi’an, China, in 1993, 1996, and 1999, respectively. He was a Postdoctoral Fellow and a Research Associate from July 2001 to August 2003, respectively, at the University of Alberta, Edmonton, AB, Canada, and the University of Wisconsin–Milwaukee, Milwaukee, WI, USA. From September 2003 to December 2008, he was a Research Scientist at the Institute of Acoustics, Chinese Academy of Science, under the sponsorship of the Hundred Talents Program.He is currently a Professor with the State Key Laboratory for Manufacturing System Engineering, Xi’an Jiaotong University, Xi’an, China. His research interests include mechanical system reliability, fault diagnosis, and prognostics. He was also involved in research on energy harvesting.
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Research Articles
- Numerical analysis and experimental verification of broadband tristable energy harvesters
- Use it or lose it: The influence of second order effects of practical components on storing energy harvested by pyroelectric effects
- Investigation of a hybrid piezo-electromagnetic energy harvester
- Stiffness control of a nonlinear mechanical folded beam for wideband vibration energy harvesters
- Numerical investigation of nonlinear mechanical and constitutive effects on piezoelectric vibration-based energy harvesting
- Evaluation of multiple transducers implementation in a magnetoelectric vibration energy harvester
Articles in the same Issue
- Frontmatter
- Research Articles
- Numerical analysis and experimental verification of broadband tristable energy harvesters
- Use it or lose it: The influence of second order effects of practical components on storing energy harvested by pyroelectric effects
- Investigation of a hybrid piezo-electromagnetic energy harvester
- Stiffness control of a nonlinear mechanical folded beam for wideband vibration energy harvesters
- Numerical investigation of nonlinear mechanical and constitutive effects on piezoelectric vibration-based energy harvesting
- Evaluation of multiple transducers implementation in a magnetoelectric vibration energy harvester
