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dc.contributor.authorChai, Wei
dc.contributor.authorDostal, Leo
dc.contributor.authorNæss, Arvid
dc.contributor.authorLeira, Bernt Johan
dc.date.accessioned2018-01-23T12:34:58Z
dc.date.available2018-01-23T12:34:58Z
dc.date.created2017-12-18T11:55:09Z
dc.date.issued2017
dc.identifier.citationJournal of Marine Science and Technology. 2017, .nb_NO
dc.identifier.issn0948-4280
dc.identifier.urihttp://hdl.handle.net/11250/2479082
dc.description.abstractIn this paper, the energy-based stochastic averaging method and the path integration method are applied to study the stochastic response of the nonlinear roll motion in random beam seas. Specifically, the Markov diffusion theory is applied to describe the random roll motion such that the probabilistic properties of the ship roll motion are governed by the Fokker–Planck (FP) equation. The stochastic averaging method focuses on the roll energy envelope process and reduces the difficulty in calculating the stochastic response via a dimensional reduction of the original system. In contrast, the path integration method is based on the Markov property of the original dynamical system and provides approximate solutions to the FP equation by linking the explicitly known local solutions. Although the stochastic averaging technique is well established in the study of the stochastic responses of various dynamical systems, its accuracy for determining the high-level roll response has not yet been a focus of study. This paper aims to provide a comparative study for the performance of the two above-mentioned methods; additionally, the advantages and shortcomings of using each method for studying the nonlinear roll motion in beam seas are demonstrated by practical calculations.nb_NO
dc.language.isoengnb_NO
dc.publisherSpringer Verlagnb_NO
dc.relation.urihttps://doi.org/10.1007/s00773-017-0515-1
dc.titleA comparative study of the stochastic averaging method and the path integration method for nonlinear ship roll motion in random beam seasnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersionnb_NO
dc.source.pagenumber12nb_NO
dc.source.journalJournal of Marine Science and Technologynb_NO
dc.identifier.doi10.1007/s00773-017-0515-1
dc.identifier.cristin1528873
dc.description.localcodeThis is a post-peer-review, pre-copyedit version of an article published in [Journal of Marine Science and Technology]. Locked until 18.12.2018 due to copyright restrictions. The final authenticated version is available online at: https://link.springer.com/article/10.1007%2Fs00773-017-0515-1nb_NO
cristin.unitcode194,64,20,0
cristin.unitcode194,63,15,0
cristin.unitnameInstitutt for marin teknikk
cristin.unitnameInstitutt for matematiske fag
cristin.ispublishedfalse
cristin.fulltextpreprint
cristin.qualitycode2


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