刚性芯的柔性板在饱和地基上的垂直振动

刚性芯的柔性板在饱和地基上的垂直振动

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时间:2019-05-27

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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

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