Abstract
We examine multiple responses of a vibrational energy harvester composed of a vertical beam and a tip mass. The beam is excited horizontally by a harmonic inertial force while mechanical vibrational energy is converted to electrical power through a piezoelectric patch. The mechanical resonator can be described by single or double well potentials depending on the gravity force from the tip mass. By changing the tip mass we examine the appearance of various solutions and their basins of attraction. Identification of particular solutions of the energy harvester is important as each solution may provide a different level of power output.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P.D. Mitcheson, E.M. Yeatman, G.K. Rao, A.S. Holmes, T.C. Green, Proc. IEEE 96, 1457 (2008)
M.F. Daqaq, R. Masana, A. Erturk, D.D. Quinn, Appl. Mech. Rev. 66, 040801 (2014)
R.L. Harne, K.W. Wang, Smart Mat. Struct. 22, 023001 (2013)
S.P. Pellegrini, N. Tolou, M. Schenk, J.L. Herder, J. Intell. Mater. Syst. Struct. 24, 1303 (2013)
J. Twiefel, H. Westermann, J. Intell. Mater. Syst. Struct. 24, 1291 (2013)
J. Cao, S. Zhou, D.J. Inman, Y. Chen, Nonlinear Dyn. 80, 1705 (2014)
J. Cao, A. Syta, G. Litak, S. Zhou, D.J. Inman, Y. Chen, Eur. Phys. J. Plus 130, 103 (2015)
A. Syta, C.R. Bowen, H.A. Kim, A. Rysak, G. Litak, Meccanica 50, 1961 (2015)
M.I. Friswell, S.F. Ali, O. Bilgen, S. Adhikari, A.W. Lees, G. Litak, J. Intell. Mater. Syst. Struct. 23, 1505 (2012)
L. Zavodney, A. Nayfeh, Int. J. Non-Linear Mechanics 24, 105 (1989)
E. Esmailzadeh, G. Nakhaie-Jazar, Int. J. Non-Linear Mechanics 33, 567 (1998)
T.Y. Li, J.A. Yorke, Amer. Math. Monthly 82, 985 (1975)
G. Litak, M. Coccolo, M.I. Friswell, S.F. Ali, S. Adhikari, A.W. Lees, O. Bilgen, in Proceedings of NSC 2012 - 4th IEEE International Conference on Nonlinear Science and Complexity, August 6-11, 2012, Budapest, Hungary, pp. 113–116.
J. Aguirre, J.C. Vallejo, M.A.F. Sanjuan, Phys. Rev. E 64, 066208 (2001)
M.V. Zakrzhevsky, in Proceedings of the ASME – IDETC/EIE, August 30-September 2, 2009, San Diego, California, USA, DETC2009-86657, pp. 1411–1418.
J. Guckenheimer, P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer, 1983)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Syta, A., Litak, G., Friswell, M. et al. Multiple solutions and corresponding power output of a nonlinear bistable piezoelectric energy harvester. Eur. Phys. J. B 89, 99 (2016). https://doi.org/10.1140/epjb/e2016-60699-0
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2016-60699-0