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含环向表面裂纹充液圆柱壳的耦合振动特性分析 Title:CoupledVibrationAnalysisofLiquid-filledCylindricalShellwithSurfaceCrack 1.Introduction(150words): Cylindricalshellsarewidelyusedinvariousengineeringapplicationsduetotheirstructuralefficiency.However,inmanycases,thesestructuresaresusceptibletoexternaldisturbancesandcracks.Thepresenceofsurfacecrackscansignificantlyaffectthedynamicbehaviorandstrengthofthestructure.Inpracticalscenarios,cylindricalshellsoftencontainacertainamountoffluid,whichaddsanotherlevelofcomplexitytotheirdynamicresponse.Thispaperfocusesoninvestigatingthecoupledvibrationcharacteristicsofaliquid-filledcylindricalshellfeaturingasurfacecrack.Theanalysisaimstoprovidevaluableinsightsintothedynamicbehaviorofsuchstructures,whichcanguideengineersindesigning,assessing,andmaintainingliquid-filledcylindricalshellsystems. 2.LiteratureReview(300words): Previousstudieshaveextensivelyinvestigatedthevibrationbehaviorofcylindricalshellswithsurfacecracksandliquid-filledshellsindependently.However,limitedresearchhasfocusedonthecoupledeffectsofsurfacecracksandfluidincylindricalshells.Mostoftheexistingliteratureprimarilyfocusesoneitherthestudyofcrackinfluenceortheeffectoffluid,neglectingtheinteractionbetweenthetwo.Therefore,thispaperaimstobridgetheknowledgegapandprovideacomprehensiveunderstandingofthecoupledvibrationcharacteristics. Studiesonthevibrationbehaviorofcrackedcylindricalshellshaveshownthatthepresenceofacrackaltersthenaturalfrequenciesandmodeshapesofthestructure.Moreover,surfacecrackscansignificantlyreducethestructuralstrengthandincreasethevulnerabilitytofatiguefailure.Ontheotherhand,thepresenceoffluidcanaffectthevibrationresponseoftheshellduetochangesinmassdistributionandaddedfluid-structurecoupling.Thesefactorsnecessitateathoroughinvestigationintotheinteractionbetweensurfacecracksandthefluid-filledcylindricalshell. 3.MathematicalModelingandAnalysis(400words): Toanalyzethecoupledvibrationcharacteristicsoftheliquid-filledcylindricalshellwithasurfacecrack,appropriatemathematicalmodels