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积分型黏弹性土中球形空腔的稳态振动分析 Title:AnalysisofSteady-StateVibrationsinIntegralViscoelasticSoilwithSphericalCavities Introduction: Viscoelasticsoilsarecommonlyusedinengineeringapplicationsduetotheiruniqueproperties,suchashighdampingcapacityandenergydissipation.Amongthem,integralviscoelasticsoil(IVS)isatypeofmaterialthatexhibitsbothsolid-likeandliquid-likebehaviors.Understandingthesteady-statevibrationsinIVSwithsphericalcavitiesiscrucialfordeterminingthedynamicresponseofgeotechnicalsystems.Thispaperaimstoanalyzethebehaviorofsuchsystemsandexploretheimplicationsforengineeringpractice. 1.Background: 1.1Viscoelasticbehavior:Provideanoverviewofviscoelasticmaterialsandtheirproperties.DiscussthecharacteristicsandadvantagesofIVSingeotechnicalapplications. 1.2Steady-statevibrations:Explaintheconceptofsteady-statevibrationsandtheirsignificanceinengineering.DiscusstheimportanceofstudyingthesevibrationsinIVSmaterials. 2.ModelingofIVSwithSphericalCavities: 2.1Constitutivemodels:PresenttheconstitutivemodelscommonlyusedtodescribethebehaviorofIVSmaterials.Discusstheirapplicabilityinpredictingtheresponseofmaterialswithsphericalcavities. 2.2Modelingapproach:ExplainthenumericalmodelingapproachemployedtosimulatethebehaviorofIVSwithsphericalcavities.Discusstheassumptionsandlimitationsassociatedwiththemodel. 3.Steady-StateVibrationAnalysis: 3.1Boundaryconditions:Definetheboundaryconditionsforstudyingsteady-statevibrationsinIVSwithsphericalcavities.Discussthesignificanceoftheseconditionsindifferentengineeringscenarios. 3.2Excitationmethod:Describetheexcitationmethodsusedtoinducevibrationsinthesystem.Discusstheirsuitabilityforstudyingthesteady-statebehaviorofIVSwithsphericalcavities. 3.3Analysistechniques:Presenttheanalysistechniquesusedtocapturethesteady-statebehaviorofthesystem.Discusstheiradvantagesandlimitationsincapturingcomplexsoil-structureinteractions. 4.ResultsandDiscussions: 4.1Influenceofcavitysizeandshape:Discusstheeffectofcavitysizeandshapeonthesteady-statevibrationsinIVS.Analyzethechange