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

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 mathemati...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	János Lelkes, Josh Davidson, Tamás Kalmár-Nagy
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	parametric resonance wave energy conversion Mathieu equation spar buoy Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/828de9751a8a4dbabb1386fba36d7cc1
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:828de9751a8a4dbabb1386fba36d7cc1
record_format	dspace
spelling	oai:doaj.org-article:828de9751a8a4dbabb1386fba36d7cc12021-11-25T18:03:47ZModelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area10.3390/jmse91111622077-1312https://doaj.org/article/828de9751a8a4dbabb1386fba36d7cc12021-10-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1162https://doaj.org/toc/2077-1312Exploiting 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.János LelkesJosh DavidsonTamás Kalmár-NagyMDPI AGarticleparametric resonancewave energy conversionMathieu equationspar buoyNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1162, p 1162 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	parametric resonance wave energy conversion Mathieu equation spar buoy Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
spellingShingle	parametric resonance wave energy conversion Mathieu equation spar buoy Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581 János Lelkes Josh Davidson Tamás Kalmár-Nagy Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
description	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.
format	article
author	János Lelkes Josh Davidson Tamás Kalmár-Nagy
author_facet	János Lelkes Josh Davidson Tamás Kalmár-Nagy
author_sort	János Lelkes
title	Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
title_short	Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
title_full	Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
title_fullStr	Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
title_full_unstemmed	Modelling of Parametric Resonance for Heaving Buoys with Position-Varying Waterplane Area
title_sort	modelling of parametric resonance for heaving buoys with position-varying waterplane area
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/828de9751a8a4dbabb1386fba36d7cc1
work_keys_str_mv	AT janoslelkes modellingofparametricresonanceforheavingbuoyswithpositionvaryingwaterplanearea AT joshdavidson modellingofparametricresonanceforheavingbuoyswithpositionvaryingwaterplanearea AT tamaskalmarnagy modellingofparametricresonanceforheavingbuoyswithpositionvaryingwaterplanearea
_version_	1718411690638311424

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

Ejemplares similares