海洋平台垂荡作用下立管的非线性涡激振动特性研究朱磊1，李凤明1，陈永訢2（1.哈尔滨工程大学航天与建筑工程学院，哈尔滨150001；2.海洋石油工程股份有限公司，天津300461）摘要：立管是海洋工程中常用的一种典型细长体结构物，研究立管在海洋平台垂荡和内外流体共同作用下的非线性动力学特性具有重要的学术意义和应用价值。本文采用Hamilton原理和Galerkin方法建立了顶张力立管的二维非线性动力学模型，将平台垂荡运动模拟为随时间变化的顶端张力，研究海洋平台运动和立管非线性涡激振动的耦合位移响应。研究结果显示，增加顶张力可以改变结构的固有频率，在可变张力作用下，立管的位移响应在相邻模态之间可以相互转换。通过与已有实验数据进行对比，验证了本文分析方法和数值计算结果的合理性。本文研究结果可为海洋立管的非线性涡激振动分析提供理论参考。关键词：立管；非线性涡激振动；顶张力；耦合位移响应；固有频率中图分类号：O322文献标识码：Adoi:10.3969/j.issn.1007-7294.2023.02.012Nonlinearvortex-inducedvibrationcharacteristicsofriserunderheavingmotionofoffshoreplatformZHULei1,LIFeng-ming1,CHENYong-xin2(1.CollegeofAerospaceandCivilEngineering,HarbinEngineeringUniversity,Harbin150001,China;2.OffshoreOilEngineeringCo.Ltd.,Tianjin300461,China)Abstract:Risersareatypicalkindofslenderstructurescommonlyusedinmarineengineering.Itisofgreatacademicsignificanceandapplicationvaluetostudythenonlineardynamiccharacteristicsoftheriserunderthecombinedactionoftheheavingmotionofaoffshoreplatformandthefluidinsideandoutsideoftheriser.Bysimulatingtheheavingmotionoftheplatformasatime-varyingtoptension,Hamilton’sprincipleandtheGalerkinmethodwereusedtoestablishthetwo-dimensionalnonlineardynamicmodelsoftheriserwithtoptension,andthecoupled-displacementresponsesofthemotionoftheoffshoreplatformandthenonlinearvor⁃tex-inducedvibrationoftheriserwerestudied.Itisshownfromtheinvestigationsthatincreasingthetopten⁃sioncanchangethenaturalfrequenciesofthestructure.Undertheactionofvariabletoptension,thedisplace⁃mentresponsesoftherisercanbeconvertedbetweentheadjacentmodes.Therationalityofthepresentanalyt⁃icalmethodandnumericalresultswasvalidatedbycomparingw...
