https://doi.org/10.1140/epjp/i2015-15103-8
Regular Article
Regular and chaotic vibration in a piezoelectric energy harvester with fractional damping
1
State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, 710049, Xi’an, China
2
Faculty of Mechanical Engineering, Lublin University of Technology, Nadbystrzycka 36, 20-618, Lublin, Poland
3
Laboratoire de Génie Electrique et Ferroélectricité, Institut National des Sciences Appliquées de Lyon, 69621, Villeurbanne cedex, France
4
Department of Aerospace Engineering, University of Michigan, 48109-2140, Ann Arbor, MI, USA
5
School of Engineering, University of California, Merced, 5200 North Lake Rd., 95343, Merced, CA, USA
* e-mail: g.litak@pollub.pl
Received:
25
April
2015
Revised:
4
May
2015
Accepted:
8
May
2015
Published online:
2
June
2015
We examine a vibrational energy harvester consisting of a mechanical resonator with a fractional damping and electrical circuit coupled by a piezoelectric converter. By comparing the bifurcation diagrams and the power output we show that the fractional order of damping changes the system response considerably and affects the power output. Various dynamic responses of the energy harvester are examined using phase trajectory, Fourier spectrum, Multi-scale entropy and 0–1 test. The numerical analysis shows that the fractionally damped energy harvesting system exhibits chaos, and periodic motion, as the fractional order changes. The observed bifurcations strongly influence the power output.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015
