1958西南石油大学学报（自然科学版）2023年8月第45卷第4期JournalofSouthwestPetroleumUniversity（Science&TechnologyEdition）Vol.45No.4Aug.2023DOI：10.11885/j.issn.16745086.2021.02.23.01文章编号：16745086（2023）04013310中图分类号：TE973；O327文献标志码：AEuler-Bernoulli海洋立管涡致强迫振动响应研究赵翔1*，谭明1，李映辉2，邵永波11.西南石油大学土木工程与测绘学院，四川成都6105002.西南交通大学力学与工程学院，四川成都610031摘要：针对海洋立管（Pipe-in-pipe，PIP）系统在海水作用下发生的振动问题，开展了对PIP系统在涡致强迫振动下的动力学响应研究，分析了在涡致强迫振动下海洋立管外管直径、轴向拉力、外激力频率对海洋立管位移响应的影响规律。基于Euler-Bernoulli双梁模型，采用Lamb-Oseen涡模型，建立了动力学模型，利用格林函数法求得该强迫振动的稳态响应。结果表明，随着管道直径增加，外激力增加，产生最大力幅值的位置离管道越远；轴向拉力对外部管道的影响较大，对内部管道的影响较小；无因次频率取0.4时，外部管道位移超出允许变形极限，内外管壁发生周期碰撞，易对海洋立管造成损伤。关键词：海洋立管；涡致强迫振动；稳态响应；格林函数法；Euler-Bernoulli双梁VortexInducedForcedVibrationofEuler-BernoulliPipe-in-pipeSystemZHAOXiang1*,TANMing1,LIYinghui2,SHAOYongbo11.SchoolofCivilEngineeringandGeomatics,SouthwestPetroleumUniversity,Chengdu,Sichuan610500,China2.SchoolofAppliedMechanicsandEngineering,SouthwestJiaotongUniversity,Chengdu,Sichuan610031,ChinaAbstract:InordertosolvethevibrationproblemofaPipe-in-pipe(PIP)systemundertheactionofseawater,thedynamicresponseofthevortexinducedforcedvibrationofthePIPsystemisstudied.Thenthenumericalanalysisiscarriedouttostudyinfluencesoftheouterpipediameter,axialload,andexternalexcitationfrequencyondisplacementresponsesofthePIPsystemundertheactionofvortex.BasedonEuler-Bernoullibeamstheory,Lamb-OseenvortexmodelisusedtoestablishthedynamicmodelthePIPsystem,andGreenfunctionmethodisusedtoobtainthesteady-stateresponseoftheforcedvibrationofthePIPsystem.Resultsshowthatasthediameteroftheouterpipeincreases,thevortexexcitationforceincreases,andthepositionofthemaximumamplitudebecomesfartherf...
