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1、ANALYSISOFVIBRATIONOFAPIPELINESUPPORTEDONELASTICSOILUSINGDIFFERENTIALTRANSFORMMETHODMügeBalkayaa,MetinO.Kayab*,AhmetSağlameraaDepartmentofCivilEngineering,IstanbulTechnicalUniversity,34469,Maslak,Istanbul,TurkeybFacultyofAeronauticsandAstronautics,IstanbulTechnicalUniversity,34469Ma
2、slak,Istanbul,TurkeyAbstractInthispaper,asimulationmethodcalledtheDifferentialTransformMethod(DTM)isemployedtopredictthevibrationofanEuler-BernoulliandTimoshenkobeam(pipeline)restingonanelasticsoil.TheDifferentialTransformMethodisintroducedbriefly.DTMcaneasilybeappliedtolinearornonl
3、inearproblemsandreducesthesizeofcomputationalwork.Withthismethodexactsolutionsmaybeobtainedwithoutanyneedofcumbersomeworkanditisausefultoolforanalyticalandnumericalsolutions.Tomakeclearandillustratethefeaturesandcapabilitiesofthepresentedmethod,differentproblemshavebeensolvedbyusing
4、thetechniqueandsolutionshavebeencomparedwiththoseobtainedintheliterature.Keywords:DifferentialTransformMethod,DTM,ElasticSoil,Vibration,Beam,Pipeline*Correspondingauthor.Tel.:+902122853110;Fax:+902122852926E-mailaddress:kayam@itu.edu.tr(MetinO.Kaya)1.IntroductionItisobviousthatthean
5、alysis,designandperformanceofburiedstructuressuchaspipelinesrequireanunderstandingofsoil-structureinteraction.Soilprotectsandsupportstheburiedpipelines,thusreducestheriskofpossiblehazardsthatcanleadtomalfunctionofthestructure.Withoututilizingthestrengthofthesurroundingsoil,buriedpip
6、elinesusuallycannotresisttheloadsanddisplacementstowhichtheyaresubjected.Therefore,itisimportanttoaccuratelyevaluatesoilrestraintorloadingontheburiedpipelinessoastoincreasetheservicelifeofthestructure.Ingeotechnicalengineering,therearenumerousstudiesinwhichthestructuralelementsaspip
7、elines,shallowfoundationsandpilesarepresentedasabeam.OntheotherhandvarioustypesoffoundationmodelssuchasWinkler,Pasternak,Vlasov,etc.havebeenusedintheanalysisofstructuresonelasticfoundations.ThewellknownandwidelyusedmechanicalmodelistheonedevisedbyWinkler.AccordingtotheWinklermodel,t
8、hebeam-supportingso
