Abstract
This chapter proposes a reduced-order mathematical model for a piezoelectric energy harvester under VIV. The harvester is composed of a cantilevered cylinder with a flat bar inside, giving it orthotropic stiffness. The equations of motion are derived from the extended Hamilton’s principle for dissipative systems, where the fluid–structure interactions are represented by a wake-oscillator type phenomenological model. Bending, twisting, and axial deformations are taken into account. Numerical simulations based on the proposed model are carried out, and a discussion is done regarding the model representativeness and the need for further developments.
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References
M.M. Bernitsas, K. Raghavan, Y. Ben-Simos, E.M.H. Garcia, VIVACE (vortex induced vibration aquatic clean energy): a new concept in generation of clean and renewable energy from fluid flow, in Proceedings of OMAE2006—International Conference on Offshore Mechanics and Artic Engineering (2006)
A. Fujarra, C.P. Pesce, F. Flemming, C. Williamson, Vortex-induced vibration of a flexible cantilever. J. Fluids Struct. 15, 651–658 (2001)
W.A. Defensor Fo., C.P. Pesce, G.R. Franzini, An experimental investigation on vortex-induced vibrations of cantilevered flexible cylinders with orthotropic bending stiffness, in Proceedings of 9th International Symposium on Fluid-Structure Interactions, Flow-Sound Interactions, Flow-Induced Vibration and Noise, Toronto, 2018
N.E. Huang et al., The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454, 903–995 (1998)
C.P. Pesce, A.L.C. Fujarra, L.K. Kubota, The Hilbert-Huang spectral analysis method applied to VIV, in Proceedings of 25th International Conference on Offshore Mechanics and Arctic Engineering, Hamburg, 2006
Tanaka, H., “Generalized basic equations for bending motions of piezoelectric bars formulated from Hamilton’s principle”, The Journal of the Acoustical Society of America, 95(4):1768–1772, (1994).
A. Abdelkefi, F. Najar, A.H. Nayfeh, S. Ben Ayed, An energy harvester using piezoelectric cantilever beams undergoing coupled bending–torsion vibrations. Smart Mater. Struct. 20(11), 115007 (2011)
A. Erturk, D.J. Inman, Piezoelectric Energy Harvesting (Wiley, London, 2011)
M.R.M. Crespo Da Silva, Non-linear flexural-flexural-torsional-extensional dynamics of beams—I. Formulation. Int. J. Solids Struct. 24(12), 1225–1234 (1988). https://doi.org/10.1016/0020-7683(88)90087-X
Y. Qu, A.V. Metrikine, A single van der Pol wake oscillator model for coupled cross-flow and in-line vortex-induced vibrations. Ocean Eng. 196, 106732 (2020)
Acknowledgements
L. Madi and W. Defensor Fo acknowledge their PhD scholarships, supported by the CAPES social demand, through the Graduate Program in Naval and Ocean Engineering (PPGEN). G. Vernizzi acknowledges the São Paulo Research Foundation (FAPESP), for the PhD scholarship 2016/25457-1. C.P. Pesce acknowledges the CNPq Research Grant 308230/2018-3 and the Technological Research Institute of São Paulo State (IPT) for partial support given to L. Madi through its Young Talent Program.
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Madi, L.S., Vernizzi, G.J., Pesce, C.P., Fo., W.A.D., Franzini, G.R. (2022). 3D Reduced-Order Model for an Orthotropic Stiffened Piezoelectric Cantilevered Flexible Cylinder Under VIV. In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics. NODYCON Conference Proceedings Series. Springer, Cham. https://doi.org/10.1007/978-3-030-81162-4_11
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