Approaches to rare events in stochastic dynamics of ships

Belenky, V; Weems, KM; Bassler, CC; Dipper, MJ; Campbell, BL; Spyrou, KJ

dc.contributor.author	Belenky, V	en
dc.contributor.author	Weems, KM	en
dc.contributor.author	Bassler, CC	en
dc.contributor.author	Dipper, MJ	en
dc.contributor.author	Campbell, BL	en
dc.contributor.author	Spyrou, KJ	en
dc.date.accessioned	2014-03-01T02:53:33Z
dc.date.available	2014-03-01T02:53:33Z
dc.date.issued	2012	en
dc.identifier.issn	02668920	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36411
dc.subject	Monte Carlo method	en
dc.subject	Rare events	en
dc.subject	Stability of ship in waves	en
dc.subject.other	Empirical model	en
dc.subject.other	Engineering evaluations	en
dc.subject.other	Extreme response	en
dc.subject.other	Flow forces	en
dc.subject.other	Flow hydrodynamics	en
dc.subject.other	High costs	en
dc.subject.other	Model experiments	en
dc.subject.other	Monte Carlo approach	en
dc.subject.other	Non-linear phenomena	en
dc.subject.other	Peaks-over-threshold method	en
dc.subject.other	Practical solutions	en
dc.subject.other	Random waves	en
dc.subject.other	Rare event	en
dc.subject.other	Ship designs	en
dc.subject.other	Ship motion	en
dc.subject.other	Stochastic dynamics	en
dc.subject.other	Wave group	en
dc.subject.other	Computer simulation	en
dc.subject.other	Differential equations	en
dc.subject.other	Dynamical systems	en
dc.subject.other	Integrodifferential equations	en
dc.subject.other	Monte Carlo methods	en
dc.subject.other	Potential flow	en
dc.subject.other	Ships	en
dc.title	Approaches to rare events in stochastic dynamics of ships	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1016/j.probengmech.2011.08.020	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.probengmech.2011.08.020	en
heal.publicationDate	2012	en
heal.abstract	The paper reviews problems and solutions related to extreme ship motions in random waves. In its general form, the dynamical system is described by integro-differential equations. The bandwidth of excitation is medium; stiffness is extremely nonlinear and random. In standard ship design, the main tools for the engineering evaluation are model experiments and numerical simulations using potential flow hydrodynamics with empirical models for non-potential flow forces. However, a direct Monte Carlo approach is impractical because of the high cost of running these tools and the rarity of extreme motion events. To obtain a practical solution, the principle of separation can be used to effectively consider the nonlinear phenomena resulting in an extreme response and the conditions that lead to the occurrence of such phenomena. This paper discusses fundamental aspects of three methods that use the principle of separation: the peaks-over-threshold/envelope peaks-over-threshold method, the split-time method, and the critical wave group method. © 2011 Elsevier Ltd. All rights reserved.	en
heal.journalName	Probabilistic Engineering Mechanics	en
dc.identifier.doi	10.1016/j.probengmech.2011.08.020	en
dc.identifier.volume	28	en
dc.identifier.spage	30	en
dc.identifier.epage	38	en