Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7812
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dc.contributor.authorDişibüyük, Nazile Buğurcan-
dc.contributor.authorKorobkin, A. A.-
dc.contributor.authorYılmaz, Oğuz-
dc.date.accessioned2020-07-18T03:35:11Z-
dc.date.available2020-07-18T03:35:11Z-
dc.date.issued2020-
dc.identifier.issn0141-1187-
dc.identifier.urihttps://doi.org/10.1016/j.apor.2020.102234-
dc.identifier.urihttps://hdl.handle.net/11147/7812-
dc.description.abstractThe linear three-dimensional problem of flexural-gravity wave (hydro-elastic wave) diffraction by a vertical cylinder of an arbitrary smooth cross section is studied using an asymptotic approach combined with the vertical mode method for water of finite depth. The surface of the water is covered by an infinite, continuous elastic ice plate. The rigid cylinder extends from the sea bottom to the ice surface. The ice plate is frozen to the cylinder. The ice deflection is described by the equation of a thin elastic plate of constant thickness with clamped edge conditions at the cylinder. The flow under the ice is described by the linear theory of potential flows. The coupled problem of wave diffraction is solved in two steps. First, the problem is solved without evanescent waves similar to the problem of water waves diffracted by a vertical cylinder. This solution does not satisfy the edge conditions. Second, a radiation problem with a prescribed motion of the ice plate edge is solved by the vertical mode method. The sum of these two solutions solve the original problem. Both solutions are obtained by an asymptotic method with a small parameter quantifying a small deviation of the cylinder cross section from a circular one. Third-order asymptotic solutions are obtained by solving a set of two-dimensional boundary problems for Helmholtz equations in the exterior of a circle. Strains along the edge, where the ice plate is frozen to the cylinder, are investigated for nearly square and elliptic cross sections of the vertical cylinders depending on the characteristics of ice and incident wave. The strains are shown to be highest in the places of high curvatures of the cross sections. The derived asymptotic formulae can be used in design of vertical columns in ice. They directly relate the strains in ice plate to the shape of the column. © 2020 Elsevier Ltden_US
dc.language.isoenen_US
dc.publisherElsevier Ltd.en_US
dc.relation.ispartofApplied Ocean Researchen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptotic approachen_US
dc.subjectClamped edge conditionsen_US
dc.subjectHydro-elastic wavesen_US
dc.subjectIce coveren_US
dc.subjectNon-circular vertical cylinderen_US
dc.subjectVertical mode methoden_US
dc.titleDiffraction of flexural-gravity waves by a vertical cylinder of non-circular cross sectionen_US
dc.typeArticleen_US
dc.institutionauthorYılmaz, Oğuz-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume101en_US
dc.identifier.wosWOS:000564657600005en_US
dc.identifier.scopus2-s2.0-85086396417en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1016/j.apor.2020.102234-
dc.relation.doi10.1016/j.apor.2020.102234en_US
dc.coverage.doi10.1016/j.apor.2020.102234en_US
dc.identifier.wosqualityQ2-
dc.identifier.scopusqualityQ1-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.grantfulltextopen-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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