A novel coupled-mode theory with application to hydroelastic analysis of thick, non-uniform floating bodies over general bathymetry

Athanassoulis, MA; Belibassakis, K

dc.contributor.author	Athanassoulis, MA	en
dc.contributor.author	Belibassakis, K	en
dc.date.accessioned	2014-03-01T01:29:34Z
dc.date.available	2014-03-01T01:29:34Z
dc.date.issued	2009	en
dc.identifier.issn	1475-0902	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19319
dc.subject	Coupled-modes	en
dc.subject	Hydroelastic analysis	en
dc.subject	Thick ice sheets	en
dc.subject	Variable bathymetry	en
dc.subject	VLFS	en
dc.subject.other	Coupled-modes	en
dc.subject.other	Hydroelastic analysis	en
dc.subject.other	Thick ice sheets	en
dc.subject.other	Variable bathymetry	en
dc.subject.other	VLFS	en
dc.subject.other	Bathymetry	en
dc.subject.other	Differential equations	en
dc.subject.other	Glaciers	en
dc.subject.other	Oceanography	en
dc.subject.other	Offshore structures	en
dc.subject.other	Sea ice	en
dc.subject.other	Shear strain	en
dc.subject.other	Variational techniques	en
dc.subject.other	Hydroelasticity	en
dc.title	A novel coupled-mode theory with application to hydroelastic analysis of thick, non-uniform floating bodies over general bathymetry	en
heal.type	journalArticle	en
heal.identifier.primary	10.1243/14750902JEME150	en
heal.identifier.secondary	http://dx.doi.org/10.1243/14750902JEME150	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	A new coupled-mode system of horizontal equations is presented for the hydroelastic analysis of large floating bodies or ice sheets of general, finite thickness, lying over variable bathymetry regions. The present method is based on the theory of shear deformable plates (or beams), and is derived by an enhanced representation of the elastic displacement field, containing additional elastic vertical modes and permitting shear strain and stress to vanish on both the upper and lower boundaries of the thick floating plate. This model extends existing third-order plate theories to plates and beams of general shape. The presented coupled-mode system of horizontal differential equations is obtained by means of a variational principle composed of the one-field functional of the elastodynamics in the plate region, and a pressure functional in the water region. The wave potential in the water column is represented by means of a local-mode series expansion containing an additional mode providing the appropriate correction term on the bottom boundary, when the slope is not mild. In the above sense, the proposed method extends previous approaches concerning hydroelastic problems based on thin-plate theory. The focus of this work is on the scattering of linear, coupled, hydroelastic waves propagating through an inhomogeneous sea ice environment, containing ice sheets of variable thickness and a non-mildly-sloped interface. Numerical results are presented in the simple two-dimensional case, showing that the presented approach efficiently models the hydroelastic problem and is able to provide accurate results when only a few terms are used in the expansion. Ideas for extending the proposed method to three dimensions are also discussed.	en
heal.publisher	PROFESSIONAL ENGINEERING PUBLISHING LTD	en
heal.journalName	Proceedings of the Institution of Mechanical Engineers Part M: Journal of Engineering for the Maritime Environment	en
dc.identifier.doi	10.1243/14750902JEME150	en
dc.identifier.isi	ISI:000278992800013	en
dc.identifier.volume	223	en
dc.identifier.issue	3	en
dc.identifier.spage	419	en
dc.identifier.epage	438	en