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JOUNALOFMATENALSPROCESINGTECHNOLGY631978186EXPERIMENTANDSTUDYINTOTHEAXILDRIFTINGOFTHECYLINDEROFAWELDINGROLERBEDFENGANGSHEN,XIDEPAN,JINXUEWELDINGRESARCHINSTIUTE,XIANJIAOTNGUNIVERSITYXIANSHANXIPROVINCE71049PRCHINAABSTRACTTHEBASICTHEORYOFTHEAXILDRIFTINGOFTHECYLINDEROFAWELDINGROLERBEDISINTRODUCEDINTHEPAER,ANDATHESAMETIMEEXPERIMNTANDSTUDYONTHEMCHANISMOFTHEAXILDRIFTINGOFTHECYLINDERHAVEBENDONEONAEXPERIMNTALMODELOFTHEWELDINGROLERBEDITISHOWNTHATHEMAINCAUSEOFTHEAXILDRIFTINGOFTHECYLINDERLIESINTHEXISTENCEOFASPIRALNGLEBETENTHECYLINDERANDTHECYLINDERANDTHEROLERTHERELATIVEAXILMOTINSBETWENTHEROLERANDTHECYLINDERARECOMPSEOFSPIRALMOTIN,ELASTICSLIDINGANDFRICTIONALSLIDINGTHETHEORYOFCOMPATIBLEMOTINANDNOCOMPATIBLEMOTINISPUTFORWARDFORTHEAXILMOTINSOFTHECYLINDERTHERLATIVEAXILMOTINSOFTHECYLINDERTHERLATIVEAXILMOTINBETWENTHEROLERSANDTHECYLINDERISCORDINATEDBYELASTICSLIDINGANDFRICTIONALSLIDINGBETWENTHEMKEYWORDSWELDINGROLERBED；CYLINDER；ROLER；AXILMOTIN；SPIRALNGLE1INTRODUCTIONINWELDINGPRODUCTION,THEASEMBLYANDCIRULARSEAMWELDINGOFROTARYWORKPIECS,UCHASBOILER,APETROCHEMICALPRESUREVSELANDSON,ARECONDUCTEDON；AELDINGROLERBEDWHENROTAINGONAWELDINGROLERBEDTHECYLINDEWILINEVITABLYPRODUCEAXILDRIFTINGDUETOMANUFACTURING,ASEMBLINGTOLERANCEOFTHEWELDINGROLERBEDANDTHECYLINDER’SURFACEIREGULARITYDIVERGIUFROMANIDEALROTARYORKPIEC,THUSTHEWELDINGPROCEDUREMAYNOTBECARIEDOUTSUCESFULYITISNECSARY,THERFORE,TOSTUDYTHEMCHANISMOFTHEAXILDRIFTINGOFTHECYLINDERTOSLVETHEPROBLEMOFTHEAXILDRIFTINGOFTHECYLINDERINCIRUMFERNTIALWELDINGTHERSULTSOFTHERSEARCHWILBENFITHESTUDYINGANDDESIGNIGOFANTIDRIFTINGELDINGROLERBEDESPECIALYTHEANLYSIOFTHEAPLIEDFORCESONTHEBED,ANDLEADTODETRMINIGTHEMANUFACTURINGANDASEMBLINGTOLERANCEOFTHEBED,ANDPROVIDINGTHEBASIOFTHEORYFORTHEMCHANICALADJUSTINGMODETOAVOIDAXILDRIFTING,THEADJUSTINGMODEOFCLOSEDCIRUITINTHECONTROLCIRUIT,ANDTHESLECTIONFTHEADJUSTINGVALUE2THEORETICALANLYSI21WELDINGROLERBEDANDCYLINDERAWELDINGROLERBEDISGENRALYCOMPOSEDOFOUROLERSDRIVENBYTHEDRIVNGROLER,THECYLINDERMAKESAROTARYUNIFORMOTIONAROUNDITSAXISHOWNINFIGI,DURINGWHICHTHECIRCUMFERNTIALWELDINGPROCEDUREISCARIEDOUTINFIG1,AISTHECNTRALNGLE,SISTHESUPORTINGDISTANCE,LISTHESPANOFTHEROLERANDV,ISTHECIRCULARLINEARVELOCITYOFTHECYLINDER,ALSONAMEDTHEWELDINGVELOCITY2THEAXISOFTHECYLINDERWILBENOTPARLELTOTHATOFAROLERIFTHEROLERISDEFLCTEDBYACERTAINANGLEFROMTHEDEALPOSITON,ORIFTHECENTRSOFTHEFOURROLERSLIEINTHEVERTICESOFASIMPLEQUADRILATERAL,ORIFTHECENTRSOFTHEFOURROLERSARENOTONTHESAMEPLANE,ORIFTHECIRULARITYOFTHECYLINDERISIREGULARBECAUSEOFDEVIATIONINMAUFACTURINGANDASEMBLINGTHUSTHECYLINDERWILNEVITABLYMOVEALONGITSAXISWHENROTAINGONABEDTHECONTACTOFTHECYLINDERANDAROLERCANBECANSIDERDASPOINTCONTACTIFCYTINDER’SAXISANDROLER’SAXISDONOTLIEINTHESAMEPLANESUPOSEPISTHEPOINTOFCONTACTTHECYLINDER’SNORMALPLANEAISDEFINEDBYTHEPLANEONWHICARETHECYLINDER’SAXISANDGENRATRIXNACROSTHEPOINTOFTANGENCYONTHECYLINDERSHOWNINFIG2MAKEACYLINDER’STANGENTPLANEBACROSPOINTPTHUS,PLANEAISVERTICALTOPLANEBLCISACYLINDER’STANGENTACROSPANDLIESINPLANEBIRISTHEROLER’STANGENTACROSTHESAMEPOINTP,ANDLIESINPLANEBALSOINGENRAL,ΘISDEFINEDASTHEAXILDEVIATIONANGLEBETWENTHEROLER’SAXISANDTHECYLINDER’SAXIS；ΒISDEFINEDASTHESPIRALNGLEBETWENGENRATRIXNANDM’APROJECTIVELINEOBTAINEDBYPROJECTINGTHEROLER’SGENRATRIXMACROSPOINTPONPLANEBANDΓISDEFINEDASTHEPROJECTIVEANGLEBETWENNANDM,APROJECTIVELINEOBTAINEDBYPROJECTINGMONPLANEAFIG3INDICATESTHATTHERELATIONSHIPAMONGSTTHETHREANGLESISTANΒTAN2ΘTAN2ΓINFIG3,SB,SΘANDSΓ,ARECALEDTHESPIRALDISPLACEMNTVECTOR,THEAXILDEVIATIONDISPLACEMNTVECTORANDTHEPROJECTIVEDISPLACEMNTVECTORRESPECTIVELYTHEIRRELATIONSHIPBEINGFIG2GEOMTRICRELATIONSHIPBETWENTHECYLINDERANDANINDIVDUALROLERFIG3RELATIONSHIPBETWENTHEANGLEVECTORANDTHEDISPLACEMNTVECTOR22RELATIVEAXILMOTINSRELATIONSHIP1SPIRALMOTIN2FIG4COMPNETOFAXILVELOCITYBECAUSETHEROLER’SAXISISNOTPARLELTOTHECYLINDER’SCENTRALLINE,THERISASPIRALANGLEΒBETWENVR,ANDVC,ONTHEPOINTOFCONTACTSHOWNINFIG2WHENTHEROLERANDCYLINDERROTAESYNCHRONISTICALYAROUNDTHEIRONAXES,DRIVENBYTANGENTIALFRICTIONALFORCEASPIRALEFCTWILOCURBECAUSEOFTHEDIFERNTLINEARVELOCITYDIRECTIONBETWENTHEROLERANDTHECYLINDERATPOINTPOFCONTACTTHECYLINDERHASACOMPNETOFAXILVELOCITY,WHERVCISTHECIRULARLINEARVELOCITYOFTHECYLINDERISTHECYLINDER’SAXILCOMPNETVELOCIRYEXRTEDBYSINGLEROLER,ANDJCANBE12,3,4,REPRESNTIGTHEFOURROLERS,RESPECTIVELY2ELASTICSLIDINGBECAUSEOFTHEEXISTENCEOFASPIRALANGLE,ANAXILFORCEFAJACTSONCYLINDERWHENTHEFORCEISLESTHANTHEMAXIMUMAXILFRICTIONALFORCEFNJWHERFISTHEFRICTIONFACTOR,ANDNJISTHENORMALPRESUREBETWENASINGLEROLERANDTHECYLINDER,THECYLINDERWILSLIDEELASTICALYOVERTHEROLERALONGTHEAXILDIRECTION23THECOMPNETOFTHESLIDINGVELOCITYISWHEREISTHEELASTICSLIDINGFACTORFORMETALICROLEROL053FRICTIONALSLIDINGWHENAJISGREATRTHANTHEMAXIMUMFRICTIONALFORCEFNJ,THECYLINDERWILMAKEAFRICTIONALSLIDINGOVERTHEROLERTHESLIDINGRESITANCEISFNJ3THECOMPNETOFTHEFRICTIONALSLIDINGVELOCITYONCYLINDERISVAJTHEMAGNITUDEANDDIRECTIONOFWHICCANBEDETRMINEDBYTHEUNIVERSALRELATIONSHIPBETWENTHECYLINDERANDTHEFOURROLERSFRICTIONALSLIDINGWILLEADTOTHEEARANDTEAROFTHESURFACEOFTHECYLINDERANDTHEROLERSWHICISUNEXPECTDINWELDINGPRODUCTIONWHENTHECYLINDERDRIFTS,ABOVETHREKI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