On the parametric rolling of ships in a following sea under simultaneous nonlinear periodic surging

Spyrou, KJ

dc.contributor.author	Spyrou, KJ	en
dc.date.accessioned	2014-03-01T01:50:06Z
dc.date.available	2014-03-01T01:50:06Z
dc.date.issued	2000	en
dc.identifier.issn	1364-503X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25994
dc.subject	ship	en
dc.subject	capsize	en
dc.subject	parametric rolling	en
dc.subject	roll	en
dc.subject	surge	en
dc.subject	nonlinear dynamics	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.title	On the parametric rolling of ships in a following sea under simultaneous nonlinear periodic surging	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	A new approach to the study of the parametric rolling of ships in a following sea is presented. The new aspect is the consideration of the interference of surge with the roll dynamics. When the waves are long and steep, the oscillatory component of the surge velocity can become large when compared with the mean value. As the oscillatory surge grows in amplitude, it tends also to become asymmetric due to the existence of nonlinearity The nature of asymmetric surging is such that a ship spends more time on the crests than on the troughs of the waves. This means, however, that the probability of capsize is increased because a ship's roll-restoring capability around the crest is at a minimum. We propose a new second-order differential equation of roll which incorporates automatically the surge effect through appropriate position-dependent coefficients. We explore numerically how this asymmetry in surge influences the build up of parametric rolling. The layout of the stability transition lines of the coupled system was found to be notably different from that of a Mathieu-type system. We pay attention also to the vicinity of surf-riding, where the capsize is more of a 'pure-loss' type.	en
heal.publisher	ROYAL SOC LONDON	en
heal.journalName	PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES	en
dc.identifier.isi	ISI:000087702500005	en
dc.identifier.volume	358	en
dc.identifier.issue	1771	en
dc.identifier.spage	1813	en
dc.identifier.epage	1834	en