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3D Reduced-Order Model for an Orthotropic Stiffened Piezoelectric Cantilevered Flexible Cylinder Under VIV

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Advances in Nonlinear Dynamics

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

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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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Correspondence to Leticia S. Madi .

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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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  • DOI: https://doi.org/10.1007/978-3-030-81162-4_11

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  • Online ISBN: 978-3-030-81162-4

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