Internal Resonances for Heave, Roll and Pitch Modes of A Spar Platform Considering Wave and Vortex-Induced Loads in the Main Roll Resonance-中国Betway体育网页登陆

摘要 Wepresentastudyofthenonlinearcouplinginternalresonancefortheheaverollandpitchperformanceofasparplatformunderthewaveandvortex-inducedloadswhentheratioofthefrequenciesofheave,rollandpitchareapproximately2:1:1.Inconsiderationofvaryingwetsurface,thethreeDOFsnonlinearcoupledequationsareestablishedforthesparplatformundertheeffectofthefirst-orderwaveloadsintheheaveandpitch,andvortexinducedloadsintheroll.Byutilizingthemethodofmulti-scaleswhenthevortex-inducedfrequencyisclosetothenaturalrollfrequency,thefirst-orderperturbationsolutionisobtainedanalyticallyandfurthervalidatedbythenumericalintegration.Sensitivityanalysisisperformedtounderstandtheinfluenceofthedampingandtheinternaldetuningparameter.Twocaseswithinternalresonanceareshown.Thefirstcaseisthatnosaturationphenomenonexistsundersmallvortex-inducedloads.Thefirstorderperturbationsolutionillustratesthatonlythevortex-inducedfrequencymotioninrollandthesuper-harmonicfrequencymotioninheaveareexcited.Thesecondcaseisthatthevortex-inducedloadsarelargeenoughtoexcitethepitchandasaturationphenomenonintheheavemodefollows.Theresultsshowthatthereisnosteadyresponseoccurrenceforsomecases.Forthesecaseschaosoccursandlargeamplitudesresponsecanbeinducedbythevortex-inducedexcitation.

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Internal Resonances for Heave, Roll and Pitch Modes of A Spar Platform Considering Wave and Vortex-Induced Loads in the Main Roll Resonance

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