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1、VerticalVibrationofaFlexiblePlatewithRigidCoreonSaturatedGround123S.L.Chen;L.Z.Chen;andE.PanAbstract:Inthispaper,theverticalvibrationofaßexibleplatewithrigidcorerestingonasemi-inÞnitesaturatedsoilisstudiedanalytically.ThebehaviorofthesoilisassumedtofollowBiotÕsporoelastod
2、ynamictheorywithcompressiblesoilskeletonandporewater,andtheresponseofthetime-harmonicexcitedplateisgovernedbytheclassicalthin-platetheory.ByvirtueoftheHankeltransformtechnique,thefundamentalsolutionsoftheskeletondisplacements,stresses,andporepressurearederived,andasetofdu
3、alintegralequationsassociatedwiththerelaxedboundaryandcompletelydrainedconditionatthesoil-foundationcontactinterfacearealsodeveloped.ThesegoverningintegralequationsarefurtherreducedtothestandardFredholmintegralequationsofthesecondkindandsolvedbynumericalprocedures.Compari
4、sonwithexistingsolutionsforarigidpermeableplateonsaturatedsoilconÞrmstheaccuracyofthepresentsolution.Selectednumericalresultsarepresentedtoshowtheinßuenceofthepermeability,thesizeoftherigidcore,andtheplateßexibilityonthedynamicinteractionbetweentheelasticplatewithrigidcor
5、eandtheunderlyingsaturatedsoil.DOI:10.1061/ASCE0733-93992007133:3326CEDatabasesubjectheadings:Saturatedsoils;Vibration;Plates.IntroductionSoilsingeneralaretwo-phasematerialsconsistingofasolidskeletonwithvoidsÞlledwithwaterandthusshouldbemoreDynamicresponseofafoundat
6、iononthesoilisoffundamentalrealisticallyregardedasporoelasticmaterials.ThetheoryofwaveimportanceintheÞeldofsoil-structureinteraction,geomechan-propagationinaßuid-saturatedporousmediumwasestablishedics,andfoundationvibration.SinceReissnerÕspioneerworkonbyBiot1956a,b,1962
7、andhassincebeenwidelyusedinmanytheforcedverticaltranslationofarigidcircularplateattachedtoengineeringapplications.CurrentdevelopmentinthisÞeldcanbeanelastichalf-spaceReissner1936,thedynamicmixedbound-foundinDetournayandCheng1993,Chengetal.1998,andaryvalueproblemhasb
8、eenasubjectofextensivestudy.ForChenetal.2005.BasedonBiotÕsporoelastictheory,variousexample,Byc