LAGRANGIAN EXPRESSIONS OF THE HYDRODYNAMIC FORCES ACTING ON A RIGID BODY IN THE PRESENCE OF A FREE SURFACE.

Athanassoulis, GA; Loukakis, TA

dc.contributor.author	Athanassoulis, GA	en
dc.contributor.author	Loukakis, TA	en
dc.date.accessioned	2014-03-01T01:06:26Z
dc.date.available	2014-03-01T01:06:26Z
dc.date.issued	1985	en
dc.identifier.issn	0022-4502	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9375
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0022029608&partnerID=40&md5=0edd5ff1e530850384073e493948ef56	en
dc.subject.classification	Engineering, Marine	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	LIQUIDS - Surface Tension	en
dc.subject.other	SHIPS	en
dc.subject.other	FREE SURFACE	en
dc.subject.other	LAGRANGIAN EXPRESSIONS	en
dc.subject.other	RIGID BODY	en
dc.subject.other	HYDRODYNAMICS	en
dc.title	LAGRANGIAN EXPRESSIONS OF THE HYDRODYNAMIC FORCES ACTING ON A RIGID BODY IN THE PRESENCE OF A FREE SURFACE.	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	The formalism of classical analytical dynamics is used in conjunction with the principle of virtual velocity to derive Lagrangian expressions for the hydrodynamic forces acting on a rigid body moving through an inviscid and incompressible liquid with a free surface. Simultaneously, a corresponding Lagrangian expression is derived for the hydrodynamic pressure acting on the free surface itself. The expressions for the hydrodynamic forces degenerate to the classical ones if the free surface is not present, and the expression for the pressure is reduced to that obtained by Milder if the rigid boundaries are all kept fixed. The derived Lagrangian expressions for the hydrodynamic reactions are used to obtain a complete set of motion equations for the examined hydromechanical system, and to discuss another Lagrangian approach to the ship-motions problem, presented by Wang.	en
heal.publisher	SOC NAVAL ARCH MARINE ENG	en
heal.journalName	Journal of Ship Research	en
dc.identifier.isi	ISI:A1985AGT8800002	en
dc.identifier.volume	29	en
dc.identifier.issue	1	en
dc.identifier.spage	12	en
dc.identifier.epage	22	en