Abstract.
The use of bistable laminates is a potential approach to realize broadband piezoelectric-based energy harvesting by introducing elastic non-linearities to the system. In this paper the dynamic response of a piezoelectric material attached to a bistable laminate beam is examined based on the experimental measurement of the generated voltage-time series. The system was subjected to harmonic excitations and exhibited single-well and snap-through vibrations of both periodic and chaotic character. The ability to identify the vibration modes of the energy harvester is important since different levels of power are expected in each dynamic mode. We identify the dynamics of the selected system response using return maps, multiscale entropy, and “0-1” test. The potential of the approaches to identify periodic and chaotic modes and snap-through events in the non-linear bistable harvester is described.
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A. Erturk, D.J. Inman, Piezoelectric Energy Harvesting (Wiley, London, 2011)
R.L. Harne, K.W. Wang, Smart Mat. Struct. 22, 023001 (2013)
M.F. Daqaq, R. Masana, A. Erturk, D.D. Quinn, Appl. Mech. Rev. 66, 040801 (2014)
S.P. Pellegrini, N. Tolou, M. Schenk, J.L. Herder, J. Intell. Mater. Syst. Struct. 24, 1303 (2013)
Y. Wang, L. Peng, Z. Huang, Theor. Appl. Mech. Lett. 5, 151 (2015)
A.F. Arrieta, P. Hagedorn, A. Erturk, D.J. Inman, Appl. Phys. Lett. 97, 104102 (2010)
A.F. Arrieta, T. Delpero, A. Bergamini, P. Ermanni, Appl. Phys. Lett. 102, 173904 (2013)
A.F. Arrieta, T. Delpero, A. Bergamini, P. Ermanni, Proc. SPIE 8688, 86880G-1 (2013)
D.N. Betts, C.R. Bowen, H.A. Kim, N. Gathercole, C.T. Clarke, D.J. Inman, Eur. Phys. J. ST 222, 1553 (2013)
D.N. Betts, H.A. Kim, C.R. Bowen, D.J. Inman, Appl. Phys. Lett. 100, 114104 (2012)
D.N. Betts, H.A. Kim, C.R. Bowen, in Proceedings of 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (AIAA, 2012) pp. 2012--1492
D.N. Betts, H.A. Kim, C.R. Bowen, Smart Mater. Res. 2012, 621364 (2012)
D.N. Betts, H.A. Kim, C.R. Bowen, D.J. Inman, Proc. SPIE 8341, 83412Q-1 (2014)
D.N. Betts, C.R. Bowen, H.A. Kim, N. Gathercole, C.T. Clarke, D.J. Inman, Proc. SPIE 8688, 86881N-1 (2013)
A.F. Arrieta, P. Ermanni, Proc. SPIE 9057, 90570Z-1 (2014)
A.F. Arrieta, P. Hagedorn, A. Erturk, D.J.Inamn, in Proceedings of the ASME 2010 Conference on Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2010 (2010)
M. Borowiec, A. Rysak, D.N. Betts, C.R. Bowen, H.A. Kim, G. Litak, Eur. Phys. J. Plus 129, 211 (2014)
D.N. Betts, R.A. Guyer, P.-Y. Le Bas, C.R. Bowen, D. Inman, H.A. Kim, in Proceedings of 55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference, National Harbor, Maryland 2014
A.F. Arrieta, P. Ermanni, D.J. Inman, M.A. Karami, in Proc. of Conference on Smart Materials, Adaptive Structures and Intelligent Systems, ASME 2014, V002T07A012
A. Syta, C.R. Bowen, H.A. Kim, A. Rysak, G. Litak, Meccanica 50, 1961 (2015)
A.F. Arrieta, T. Delpero, P. Ermanni, in Proc. ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2013-3137 (2013)
P. Harris, C.R. Bowen, H.A. Kim, J. Multifunct. Comp. 3, 113 (2014)
D.N. Betts, C.R. Bowen, D.J. Inman, P.M. Weaver, H.A. Kim, Proc. SPIE 9057, 90571E-1 (2014)
O. Bilgen, Y. Wang, D.J. Inman, Mech. Syst. Signal Proc. 27, 763 (2012)
H.A. Sodano, D.J. Inman, J. Intell. Mater. Syst. Struct. 16, 799 (2005)
H.A. Sodano, J. Lloyd, D.J. Inman, Smart Mater. Struct. 15, 1211 (2006)
G. Litak, A. Syta, M. Wiercigroch, Chaos Solitons Fractals 40, 2095 (2009)
H. Kantz, T. Schreiber, Non-linear Time Series Analysis (Cambridge University Press, Cambridge, 1997)
M. Borowiec, A.K. Sen, G. Litak, J. Hunicz, G. Koszalka, A. Niewczas, Forsch. Ing. 74, 99 (2010)
G. Litak, S. Schubert, G. Radons, Nonlinear Dyn. 69, 1255 (2012)
P. Grassberger, in Information Dynamics, edited by H. Atmanspacher, H. Scheingraber (Plenum Press, New York, 1991) pp. 15--33
J.S. Richman, J.R. Moorman, Am. J. Physiol Heart Circ. Physiol. 278, H2039 (2000)
A.L. Goldberger, L.A.N. Amaral, L. Glass, J.M. Hausdorff, P.Ch. Ivanov, R.G. Mark, J.E. Mietus, G.B. Moody, C.-K. Peng, H.E. Stanley, Circulation 101, E215 (2000)
M. Costa, A.L. Goldberger, C.-K. Peng, Phys. Rev. Lett. 89, 062102 (2002)
M. Costa, C.-K. Peng, A.L. Goldberger, J.M.. Hausdorff, Physica A 330, 53 (2003)
M. Costa, A.L. Goldberger, C.-K. Peng, Phys. Rev. E 71, 021906 (2005)
R.A. Thuraisingham, G.A. Gottwald, Physica A 366, 323 (2006)
S.-D. Wu, C.-W. Wu, S.-G. Lin, C.-C. Wang, K.-Y. Lee, Entropy 15, 1069 (2013)
G.A. Gottwald, I. Melbourne, Proc. R. Soc. London A 460, 603 (2004)
G.A. Gottwald, I. Melbourne, Physica D 212, 100 (2005)
D. Bernardini, G. Litak, J. Braz. Soc. Mech. Sci. Eng., DOI:10.1007/s40430-015-0453-y (2016)
A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano, Physica D 16, 285 (1985)
B. Krese, E. Govekar, Nonlinear Dyn. 67, 2101 (2012)
G. Litak, D. Bernardini, A. Syta, G. Rega, A. Rysak, Eur. Phys. J. ST 222, 1637 (2013)
G.A. Gottwald, I. Melbourne, SIAM J. Appl. Dyn. Syst. 8, 129 (2009)
I. Melbourne, G.A. Gottwald, Nonlinearity 21, 179 (2008)
G.A. Gottwald, I. Melbourne, Nonlinearity 22, 1367 (2009)
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Harris, P., Bowen, C.R., Kim, H.A. et al. Dynamics of a vibrational energy harvester with a bistable beam: voltage response identification by multiscale entropy and “0-1” test. Eur. Phys. J. Plus 131, 109 (2016). https://doi.org/10.1140/epjp/i2016-16109-4
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DOI: https://doi.org/10.1140/epjp/i2016-16109-4