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Jounalofmatenalsprocesingtechnolgy631978186ExperimentandstudyintotheaxildriftingofthecylinderofaweldingrolerbedFengangshen,xidepan,jinxueWeldingresarchinstiute,xianjiaotnguniversity.Xian.shanxiprovince71049.P.R.chinaAbstractThebasictheoryoftheaxildriftingofthecylinderofaweldingrolerbedisintroducedinthepaer,andathesametimeexperimntandstudyonthemchanismoftheaxildriftingofthecylinderhavebendoneonaexperimntalmodeloftheweldingrolerbed.Itishownthathemaincauseoftheaxildriftingofthecylinderliesinthexistenceofaspiralnglebetenthecylinderandthecylinderandtheroler.therelativeaxilmotinsbetwentherolerandthecylinderarecompseofspiralmotin,elasticslidingandfrictionalsliding.Thetheoryofcompatiblemotinandnocompatiblemotinisputforwardfortheaxilmotinsofthecylinder.therlativeaxilmotinsofthecylinder.TherlativeaxilmotinbetwentherolersandthecylinderiscordinatedbyelasticslidingandfrictionalslidingbetwenthemKeywordsweldingrolerbedcylinderroleraxilmotinspiralngle1IntroductionInweldingproduction,theasemblyandcirularseamweldingofrotaryworkpiecs,uchasboiler,apetrochemicalpresurevselandson,areconductedonaeldingrolerbed.WhenrotaingOnaweldingrolerbed.Thecylindewilinevitablyproduceaxildriftingduetomanufacturing,asemblingtoleranceoftheweldingrolerbedandthecylindersurfaceiregularitydivergiufromanidealrotaryorkpiec,thustheweldingproceduremaynotbecariedoutsucesfuly.Itisnecsary,therfore,tostudythemchanismoftheaxildriftingofthecylindertoslvetheproblemoftheaxildriftingofthecylinderincirumferntialwelding.Thersultsofthersearchwilbenfithestudyinganddesignigofantidriftingeldingrolerbed.especialytheanlysioftheapliedforcesonthebed,andleadtodetrminigthemanufacturingandasemblingtoleranceofthebed,andprovidingthebasioftheoryforthemchanicaladjustingmodetoavoidaxildrifting,theadjustingmodeofclosedciruitinthecontrolciruit,andtheslectionftheadjustingvalue.2.Theoreticalanlysi2.1WeldingrolerbedandcylinderAweldingrolerbedisgenralycomposedofourolers.Drivenbythedrivngroler,thecylindermakesarotaryuniformotionarounditsaxishowninFig.I,duringwhichthecircumferntialweldingprocedureiscariedoutInFig.1,aisthecntralngle,Sisthesuportingdistance,Listhespanoftheroler.andV,isthecircularlinearvelocityofthecylinder,alsonamedtheweldingvelocity2.Theaxisofthecylinderwilbenotparleltothatofaroleriftherolerisdeflctedbyacertainanglefromthedealpositon,orifthecentrsofthefourrolerslieintheverticesofasimplequadrilateral,orifthecentrsofthefourrolersarenotonthesameplane,orifthecirularityofthecylinderisiregularbecauseofdeviationinmaufacturingandasembling.Thus.thecylinderwilnevitablymovealongitsaxiswhenrotaingonabedthecontactofthecylinderandarolercanbecansiderdaspointcontactifcytindersaxisandrolersaxisdonotlieinthesameplane.SuposePisthepointofcontact.thecylindersnormalplaneAisdefinedbytheplaneonwhicarethecylindersaxisandgenratrixnacrosthepointoftangencyonthecylindershowninfig2makeacylinderstangentplaneBacrospointP.Thus,planeAisverticaltoplaneB.lcisacylinderstangentacrosPandliesinplaneB.IristherolerstangentacrosthesamepointP,andliesinplaneBalso.Ingenral,θisdefinedastheaxildeviationanglebetwentherolersaxisandthecylindersaxisβisdefinedasthespiralnglebetwengenratrixnandm.aprojectivelineobtainedbyprojectingtherolersgenratrixmacrospointponplaneBandγisdefinedastheprojectiveanglebetwennandm,aprojectivelineobtainedbyprojectingmonplaneA.Fig.3indicatesthattherelationshipamongstthethreanglesistanβtan2θtan2γInFig.3,SB,SθandSγ,arecaledthespiraldisplacemntvector,theaxildeviationdisplacemntvectorandtheprojectivedisplacemntvectorrespectively.theirrelationshipbeingFig.2GeomtricrelationshipbetwenthecylinderandanindivdualrolerFig.3Relationshipbetwentheanglevectorandthedisplacemntvector2..2relativeaxilmotinsrelationship1spiralmotin2.Fig.4CompnetofaxilvelocityBecausetherolersaxisisnotparleltothecylinderscentralline,therisaspiralangleβbetwenVr,.andVc,onthepointofcontactshowninFig.2.Whentherolerandcylinderrotaesynchronisticalyaroundtheironaxes,drivenbytangentialfrictionalforce.aspiralefctwilocurbecauseofthediferntlinearvelocitydirectionbetwentherolerandthecylinderatpointPofcontactThecylinderhasacompnetofaxilvelocity,wherVcisthecirularlinearvelocityofthecylinder.isthecylindersaxilcompnetvelociryexrtedbysingleroler,andjcanbe1.2,3,4,represntigthefourrolers,respectively.2ElasticslidingBecauseoftheexistenceofaspiralangle,anaxilforceFajactsoncylinder.WhentheforceislesthanthemaximumaxilfrictionalforcefNjwherfisthefrictionfactor,andNjisthenormalpresurebetwenasinglerolerandthecylinder,thecylinderwilslideelasticalyovertheroleralongtheaxildirection23Thecompnetoftheslidingvelocityis.whereistheelasticslidingfactorformetalicroler.O.l0.5.3FrictionalslidingWhenajisgreatrthanthemaximumfrictionalforcefNj,thecylinderwilmakeafrictionalslidingovertheroler.TheslidingresitanceisfNj3.ThecompnetofthefrictionalslidingvelocityonCylinderisVajthemagnitudeanddirectionofwhiccanbedetrminedbytheuniversalrelationshipbetwenthecylinderandthefourrolersFrictionalslidingwilleadtotheearandtearofthesurfaceofthecylinderandtherolers.whicisunexpectdinweldingproductionWhenthecylinderdrifts,abovethrekindsofmotindonotocursimultaneouslyIherforc.theaxildriftingvelocityofthecylinderisnotthealgebraicsumofthethrecompnetsofvelocityInthecaseofelasticsliding,theaxilvelocityis.2.3axilmotinofthecylinderonaweldingrolerbed2.3.1AxialcompatiblemotinUnderidealconditons,whenspiralanglesβjbetwenthecylinderandthefourrolersarealthesame,thatisβ1β2β3β4βthecylinderwilmoveithcompatiblespiralmotin.TwocategoriescanbeclasifedtoanlyzetheaxilmotinofthecylinderIWhentherdoesnotexistanaxilcompnetduetogravity.the
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