A coupled-mode model for the hydroelastic analysis of large floating bodies over variable bathymetry regions

Belibassakis, KA; Athanassoulis, GA

dc.contributor.author	Belibassakis, KA	en
dc.contributor.author	Athanassoulis, GA	en
dc.date.accessioned	2014-03-01T01:21:42Z
dc.date.available	2014-03-01T01:21:42Z
dc.date.issued	2005	en
dc.identifier.issn	0022-1120	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16331
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	Bathymetry	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Ice	en
dc.subject.other	Mathematical models	en
dc.subject.other	Problem solving	en
dc.subject.other	Floating bodies	en
dc.subject.other	Hydroelastic analysis	en
dc.subject.other	Thin-elastic-plate theory	en
dc.subject.other	Wave fields	en
dc.subject.other	Hydroelasticity	en
dc.subject.other	Reynolds number	en
dc.subject.other	solitary wave	en
dc.title	A coupled-mode model for the hydroelastic analysis of large floating bodies over variable bathymetry regions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1017/S0022112005004003	en
heal.identifier.secondary	http://dx.doi.org/10.1017/S0022112005004003	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The consistent coupled-mode theory (Athanassoulis & Belibassakis, J. Fluid Mech. vol. 389, 1999, p. 275) is extended and applied to the hydroelastic analysis of large floating bodies of shallow draught or ice sheets of small and uniform thickness, lying over variable bathymetry regions. A parallel-contour bathymetry is assumed, characterized by a continuous depth function of the form h(x, y) = h(x), attaining constant, but possibly different, values in the semi-infinite regions x < a and x > b. We consider the scattering problem of harmonic, obliquely incident, surface waves, under the combined effects of variable bathymetry and a floating elastic plate, extending from x = a to x = b and -∞ < y < ∞. Under the assumption of small-amplitude incident waves and small plate deflections, the hydroelastic problem is formulated within the context of linearized water-wave and thin-elastic-plate theory. The problem is reformulated as a transition problem in a bounded domain, for which an equivalent, Luke-type (unconstrained), variational principle is given. In order to consistently treat the wave field beneath the elastic floating plate, down to the sloping bottom boundary, a complete, local, hydroelastic-mode series expansion of the wave field is used, enhanced by an appropriate sloping-bottom mode. The latter enables the consistent satisfaction of the Neumann bottom-boundary condition on a general topography. By introducing this expansion into the variational principle, an equivalent coupled-mode system of horizontal equations in the plate region (a ≤ x ≤ b) is derived. Boundary conditions are also provided by the variational principle, ensuring the complete matching of the wave field at the vertical interfaces (x = a and x = b), and the requirements that the edges of the plate are free of moment and shear force. Numerical results concerning floating structures lying over flat, shoaling and corrugated seabeds are presented and compared, and the effects of wave direction, bottom slope and bottom corrugations on the hydroelastic response are presented and discussed. The present method can be easily extended to the fully three-dimensional hydroelastic problem, including bodies or structures characterized by variable thickness (draught), flexural rigidity and mass distributions. © 2005 Cambridge University Press.	en
heal.publisher	CAMBRIDGE UNIV PRESS	en
heal.journalName	Journal of Fluid Mechanics	en
dc.identifier.doi	10.1017/S0022112005004003	en
dc.identifier.isi	ISI:000230051000011	en
dc.identifier.volume	531	en
dc.identifier.spage	221	en
dc.identifier.epage	249	en