Transient dynamic response of pile to vertical load in saturated soil

Transient dynamic response of pile to vertical load in saturated soil

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1、MechanicsResearchCommunications36(2009)618–624ContentslistsavailableatScienceDirectMechanicsResearchCommunicationsjournalhomepage:www.elsevier.com/locate/mechrescomTransientdynamicresponseofpiletoverticalloadinsaturatedsoila,*abaXiang-LianZhou,Jian-HuaWang,Ling-FaJian

2、g,BinXuaDepartmentofCivilEngineering,ShanghaiJiaoTongUniversity,Shanghai200030,ChinabInstitueofRockandSoilMechanics,TheChineseAcademyofScience,Wuhan430071,ChinaarticleinfoabstractArticlehistory:Thisinvestigationisconcernedwiththedynamicresponseofapileembeddedinasatu-R

3、eceived29December2007ratedhalf-spacesubjectedtotransientverticalloading.ThepileisrepresentedbyabeamReceivedinrevisedform1October2008element,andthesaturatedmediumusesBiot’sthree-dimensionalelastodynamictheory.Availableonline30January2009Thegoverningequation,whichisform

4、ulatedundertheapproximationthatthestrainofthefictitiouspileisequaltothecorrespondingaverageoveracircularareaintheextendedhalf-space,isfoundtobeaFredholmintegralequation,andsolvedbyanappropriateKeywords:numericalmethod.TimedomainsolutionsareobtainedbyusingnumericalFouri

5、erinver-Saturatedhalf-spacesiontransformation.Somenumericalresultsaregiven.PileTransientloadingÓ2009ElsevierLtd.Allrightsreserved.Fredholmintegralequation1.IntroductionPileisoftensubjectedtodynamicloads.Commonexamplesareloadsduetotraffic,machinery,earthquakesandimpact.

6、Thestudyoftransientdisplacementsandforcesinapileisimportantinthedevelopmentofdesignforembeddedfounda-tionssubjectedtodynamicloads.Dynamicanalysisofapilehasbeenmostlylimitedtothefrequencydomainduetotheassumptionoflinearityinthevariousformulationsthatmakeseasierforthepr

7、oblemtobesolved.Becauseoftheanalyticalcomplexityinvolved,timedomainanalysishasbeenstudiedrelativelyless.Thetransientdynamicformulationsaremorecomplicated,andoftenposeanumberofproblemsinvolvingnumericalaccuracyandstability.Thevariousapproachesthathavebeenusedfortransie

8、ntproblemcanbecategorizedascontinuummethod,finiteelementmethod,boundaryelementmethodanddynamicWinklermethod.Theearlydevelopme

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