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基于增量谐波平衡法的输流管道非线性振动分析(英文).docx

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基于增量谐波平衡法的输流管道非线性振动分析(英文) Title:NonlinearVibrationAnalysisofConduitFlowbasedonIncrementalHarmonicBalanceMethod Introduction: Conduitflowisanimportantaspectoffluiddynamicsandisacommonphenomenoninengineeringapplications.However,theflow-inducedvibrationofpipelinesystemsisamajorchallengeinpipelinedesignandoperation.Inrecentyears,nonlinearvibrationsinpipelinesystemshavedrawnmuchattentionfromresearchers.Manystudieshavebeenconductedintheareaofnonlinearvibrationanalysis,andtheincrementalharmonicbalance(IHB)methodhasbeenwidelyused. Methodology: Inthispaper,theIHBmethodisusedtoperformanonlinearvibrationanalysisofpipeflow.TheIHBmethodisapowerfulmethodforsolvingnonlineardifferentialequations.Itisbasedontheassumptionthatthesolutiontothegoverningdifferentialequationcanbeexpressedasaseriesofharmonicoscillationswithunknowncoefficients.TheunknowncoefficientsarethenobtainedbyapplyingtheGalerkinmethodandsatisfyingtheboundaryconditions. Thenonlineargoverningequationoffluid-structureinteractionisthensolvedusingtheIHBmethod.Thenonlinearterm,whichistheconvectiveaccelerationterm,isincludedinthegoverningequation.Theincrementinharmonicbalanceapproachisthenusedtoobtainthesolutionofthenonlinearproblem. Results: TheresultsshowthattheIHBmethodiseffectiveinsolvingthenonlinearvibrationanalysisofpipeflow.Thevibrationoftheconduitflowsystemisfoundtobestronglyaffectedbythefrequencyofthefluid.Thenonlineareffectofconduitflowisfoundtoincreaseasthefrequencyofthefluidincreases.Asthefrequencyincreases,theamplitudeofvibrationincreases,asdoestheeffectofnonlinearfactors. Conclusion: TheIHBmethodisfoundtobeapowerfultoolforsolvingthenonlinearvibrationofpipelineflow.Itisaneffectivemethodforsolvingcomplexandnonlineardifferentialequations.Theresultsobtainedinthisstudyindicatethatthefrequencyofthefluidhasasignificanteffectonthevibrationoftheconduitflowsystem.Thisworkcancontributetotheunderstandingofnonlinearpipeflowoscillationsandhelpinthedesignofmoreefficientpipelines. Inconclusion,thestudyofnonlinearvibrationisimp