{"title":"Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motion","authors":"Atsuo Maki, Yuuki Maruyama, Yaliu Liu, Leo Dostal","doi":"10.1007/s00773-024-00999-0","DOIUrl":null,"url":null,"abstract":"<p>Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the parametric rolling in irregular seas is examined in this paper based on the stability of the systems origin, which corresponds to the upright condition of the vessel. It provides a novel theoretical explanation of the instability mechanism for two cases: white-noise parametric excitation and colored-noise parametric excitation. Moreover, the authors confirm the usefulness of the previously provided formulae by Roberts and Dostal by means of numerical examples.</p>","PeriodicalId":16334,"journal":{"name":"Journal of Marine Science and Technology","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Marine Science and Technology","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1007/s00773-024-00999-0","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the parametric rolling in irregular seas is examined in this paper based on the stability of the systems origin, which corresponds to the upright condition of the vessel. It provides a novel theoretical explanation of the instability mechanism for two cases: white-noise parametric excitation and colored-noise parametric excitation. Moreover, the authors confirm the usefulness of the previously provided formulae by Roberts and Dostal by means of numerical examples.
期刊介绍：
The Journal of Marine Science and Technology (JMST), presently indexed in EI and SCI Expanded, publishes original, high-quality, peer-reviewed research papers on marine studies including engineering, pure and applied science, and technology. The full text of the published papers is also made accessible at the JMST website to allow a rapid circulation.
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