多空弹性土中埋置的刚性基础垂直振动

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1、ARTICLEINPRESSSoilDynamicsandEarthquakeEngineering26(2006)626–636www.elsevier.com/locate/soildynVerticalvibrationofanembeddedrigidfoundationinaporoelasticsoila,abT.Senjuntichai,S.Mani,R.K.N.D.RajapakseaDepartmentofCivilEngineering,ChulalongkornUniversity,Bangkok10330,ThailandbDepartmentofMechan

2、icalEngineering,TheUniversityofBritishColumbia,Vancouver,CanadaV6T1Z4Accepted30December2005AbstractThispaperconsiderstime-harmonicverticalvibrationofanaxisymmetricrigidfoundationembeddedinahomogeneousporoelasticsoil.ThesoildomainisrepresentedbyahomogeneousporoelastichalfspacethatisgovernedbyBiot

3、’stheoryofporoelastodynamics.Thefoundationissubjectedtoatime-harmonicverticalloadandisperfectlybondedtothesurroundinghalfspace.Thecontactsurfacecanbeeitherfullypermeableorimpermeable.Thedynamicinteractionproblemissolvedbyemployinganindirectboundaryintegralequationmethod.Thekernelfunctionsofthein

4、tegralequationaretheinfluencefunctionscorrespondingtoverticalandradialringloads,andaringfluidsourceappliedintheinteriorofahomogeneousporoelastichalfspace.Analyticaltechniquesareusedtoderivethesolutionforinfluencefunctions.Theindirectboundaryintegralequationissolvedbyusingnumericalquadrature.Selecte

5、dnumericalresultsforverticalimpedanceofrigidfoundationsarepresentedtodemonstratetheinfluenceofporoelasticeffect,foundationgeometry,hydraulicboundaryconditionalongthecontactsurfaceandfrequencyofexcitation.r2006ElsevierLtd.Allrightsreserved.1.Introductiontwo-phasematerialswithasolidskeletonandpores

6、,whicharefilledwithwater.SuchmaterialsarecommonlyknownStudyofsteady-statedynamicresponseofarigidbodyasporoelasticmaterialsinmechanicsliterature,andaembeddedinanelastichalfspacehasimportantpracticalsalientfeatureoftheirresponseisgenerationanddissipa-applicationsingeotechnicalengineeringandearthqua

7、ketionofporepressureunderappliedloading.Thefirstengineering.Thisclassofproblemshasreceivedconsider-theoryofelasticwavepropagationinaporoelasticmaterialableattentionoverthepast40yr,andnumerousstudieswasestablishedbyBiot[10]bya