Abstract
A model of energy harvester based on a simple portal frame structure is presented. The system is considered to be non-ideal system (NIS) due to interaction with the energy source, a DC motor with limited power supply and the system structure. The nonlinearities present in the piezoelectric material are considered in the piezoelectric coupling mathematical model. The system is a bi-stable Duffing oscillator presenting a chaotic behavior. Analyzing the average power variation, and bifurcation diagrams, the value of the control variable that optimizes power or average value that stabilizes the chaotic system in the periodic orbit is determined. The control sensitivity is determined to parametric errors in the damping and stiffness parameters of the portal frame. The proposed passive control technique uses a simple pendulum to tuned to the vibration of the structure to improve the energy harvesting. The results show that with the implementation of the control strategy it is possible to eliminate the need for active or semi active control, usually more complex. The control also provides a way to regulate the energy captured to a desired operating frequency.
Similar content being viewed by others
References
S.F. Ali, S. Adhikari, M.I. Friswell, S. Narayanan, J. Appl. Phys. 109, 074904 (2011)
J.M. Balthazar, D.T. Mook, H.I. Weber, R.M.L.R.F. Brasil, A. Fenili, D. Belato, J.L.P. Felix, Meccanica 38, 613 (2003)
D. Belato, J.M. Balthazar, H.I. Weber, D.T. Mook, Nonlinear Dynamics, Chaos, Control and Their Applications to Engineering Sciences 2, Vibrations with Measurements and Control, edited by J.M. Balthazar, P.B. Gonçalvez, J. Clayssen, 222 (1999)
D.A.W. Barton, S.G. Burrow, L.R. Clare, J. Vibr. Acoust. 132, 021009 (2010)
F. Cottone, H. Vocca, L. Gammaitoni, Phys. Rev. Lett. 102, 080601 (2009)
A. Erturk, D.J. Inman, Piezoelectric Energy Harvesting (John Wiley & Sons, Ltd., 2011)
A. Erturk, J. Hoffmann, D.J. Inman, Appl. Phys. Lett. 94, 254102 (2009)
A. Erturk, D.J. Inman, J. Sound Vibr. 330, 2339 (2011)
M. Ferrari, V. Ferrari, M. Guizzetti, B. Andò, S. Baglio, C. Trigona, Sensors Actuators A 162, 425 (2010)
M.I. Friswell, S.F. Ali, S. Adhikari, A.W. Lees, O. Bilgen, G. Litak, J. Intell. Material Syst. Struct. 23, 1505 (2012)
W. Heywang, K. Lubitz, W. Wersing, Piezoelectricity Evolution and Future of a Technology (Springer Series in Materials Science ISSN 0933-033x, Springer-Verlag Berlin Heidelberg, 2008)
I. Iliuk, J.M. Balthazar, A.M. Tusset, B.R. Pontes Jr, J.L.P. Felix, J. Differential Equations Dyn. Sys. 21, 93 (2013)
I. Iliuk, J.M. Balthazar, A.M. Tusset, B.R. Pontes Jr., J.L.P. Felix, MATEC Web of Conferences, 08003 (2012)
N. Jalili, Piezoelectric-Based Vibration Control, From Macro to Micro/Nano Scale Systems (Springer Science Business Media, LLC., 2010)
M.A. Karami, D.J. Inman, J. Sound Vibr. 330, 5583 (2011)
G. Litak, M.I. Friswell, S. Adhikari, Appl. Phys. Lett. 96, 214103 (2010)
G. Litak, M.I. Friswell, C.A. Kitio Kwuimy, S. Adhikari, B. Borowiec, Theoretical Appl. Mech. Lett. 2, 043009 (2012)
B.P. Mann, N.D. Sims, J. Sound Vibr. 319, 515 (2009)
C. McInnes, D. Gorman, M. Cartmell, J. Sound Vibr. 318, 655 (2010)
S. Priya, D.J. Inman, Energy Harvesting Technologies (Springer Science Business Media, LLC., 2009)
D. Sado, M. Kot, J. Theoretical Appl. Mech. 45, 119 (2007)
J. Scruggs, J. Sound Vibr. 320, 707 (2009)
S.C. Stanton, C.C. McGehee, B.P. Mann, Physica D: Nonlinear Phenomena 239, 640 (2010)
A. Triplett, D.D. Quinn, J. Intell. Material Syst. Struct. 20, 1959 (2009)
A.M. Tusset, J.M. Balthazar, F.R Chavarette, J.L.P. Felix, Nonlinear Dyn. 69, 1859 (2012)
A.M. Tusset, J.M. Balthazar, J.L.P. Felix, J. Vibr. Control, 1 (2012)
A.M. Tusset, J.M. Balthazar, Differential Equations Dyn. Syst. 21, 105 (2013)
U. Von Wagner, P. Hagedorn, J. Sound Vibr. 256, 861 (2002)
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Iliuk, I., Balthazar, J., Tusset, A. et al. A non-ideal portal frame energy harvester controlled using a pendulum. Eur. Phys. J. Spec. Top. 222, 1575–1586 (2013). https://doi.org/10.1140/epjst/e2013-01946-4
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2013-01946-4