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Article

Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area

Department of Fluid Mechanics, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, 1111 Budapest, Hungary
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Author to whom correspondence should be addressed.
Academic Editor: Diego Vicinanza
J. Mar. Sci. Eng. 2021, 9(11), 1162; https://doi.org/10.3390/jmse9111162
Received: 22 September 2021 / Revised: 16 October 2021 / Accepted: 18 October 2021 / Published: 22 October 2021
(This article belongs to the Special Issue Dynamic Instability in Offshore Structures)
Exploiting parametric resonance may enable increased performance for wave energy converters (WECs). By designing the geometry of a heaving WEC, it is possible to introduce a heave-to-heave Mathieu instability that can trigger parametric resonance. To evaluate the potential of such a WEC, a mathematical model is introduced in this paper for a heaving buoy with a non-constant waterplane area in monochromatic waves. The efficacy of the model in capturing parametric resonance is verified by a comparison against the results from a nonlinear Froude–Krylov force model, which numerically calculates the forces on the buoy based on the evolving wetted surface area. The introduced model is more than 1000 times faster than the nonlinear Froude–Krylov force model and also provides the significant benefit of enabling analytical investigation techniques to be utilised. View Full-Text
Keywords: parametric resonance; wave energy conversion; Mathieu equation; spar buoy parametric resonance; wave energy conversion; Mathieu equation; spar buoy
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MDPI and ACS Style

Lelkes, J.; Davidson, J.; Kalmár-Nagy, T. Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area. J. Mar. Sci. Eng. 2021, 9, 1162. https://doi.org/10.3390/jmse9111162

AMA Style

Lelkes J, Davidson J, Kalmár-Nagy T. Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area. Journal of Marine Science and Engineering. 2021; 9(11):1162. https://doi.org/10.3390/jmse9111162

Chicago/Turabian Style

Lelkes, János, Josh Davidson, and Tamás Kalmár-Nagy. 2021. "Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area" Journal of Marine Science and Engineering 9, no. 11: 1162. https://doi.org/10.3390/jmse9111162

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