內蒙古工業(yè)大學學報JOURNALOFINNERMONGOLIA第22卷第2期POLYTECHNICUNIVERSITYVol.22No.22003cI|:1001-5167(2003)02-0153-04InnerMongoliaPolytechnicUniversityDepartmentofMechanicalEngineeringThe11thSino-PolishConferenceonCADinMachineryHuhhot,China,October2002ZHANGYeCollegeofMechanicalEngineering,InnerMongoliaPolytechnicUniversity,Huhhot,010062THREE-DIMENSIONALENTITYMODELANDMOVEMENTEMULATIONOFREDUCERBASEDONUGPLANEAbstract:Thisarticleintroducestomodelingforreducerwiththree-dimensionalentitybyMOSWLINGmoduleinthelatesteditionUGNXofUGsoftware,whichmainlyconcernwithmodelofthemaincomponentssuchasshaft,gear,gearshaft,mountandcoverandcompletecorrespondingassembly.Then,carryoutmovementemula-tionforalltheassemblywithMOTIONmodule.Keywords:UG；three-dimensionalentitymodel；reducer；emulationUGisthree-dimensionalentitymodelplanewhichintegratesCAD/CAM/CAE,andiscomputeraideddesign,analysisandmanufacturesoftwarewhichisusedwidelyintheworld.Thereareseveralproblemsshouldbepaidattentiontointhisarticle:involutestoothprofilemodelofgearteeth,hol-lowingoperationofcoverwhenmodeling,locationbetweengearshaftandgearwhenassembling.1PlottinginvolutestoothprofileofgearteethInvolutestoothprofileofgearteethcanbeplottedwithexpressioninUGq3r.Ontheotherhand,thisarticleprogramforinvolutestoothprofileofgearteethwithVC+6.0andsavecoordi-natevalueoftoothprofilesurfaceincorrespondingdatafile,andplotinvolutestoothprofileofgearteethusingreadpointfromfileinsplinewiththedefinedpoint.Polarcoordinatesparameterequationofinvolutesisq4rrk=rbcosnullknullk=invnullk=tgnullk-nullkmakerkandnullkgotoxk=rkccosnullkyk=rkcsinnullkandspreadwithtrigonometricexpressions,canget:xk=rbcqcos(nullk+nullk)+(nullk+nullk)csin(nullk+nullk)ryk=rbcqsin(nullk+nullk)-(nullk+nullk)ccos(nullk+nullk)rHererkisradiusofinvolutestoothprofileatKpoint,nullkisangleofinvolutesatAKsegment,rbisbaseradiusandnullkispressureangleatKpoint.Fig.1Fig.2ProgramwithVC+6.0andchange(nullk+nullk)from0to180,cangetcorrespondingxkandyk,andsavethemincorrespondingdatafilejkx.dat.TheresultslikeFig.1.InsertCurveSplineinUGmainmenu,clickThroughPointsbuttonaftershowingdia-logue,thenthesystemshowdialogueSplineThroughPointslikeFig.2.ClickPointsFromFilebuttonandselectbefore-mentioneddatafilejkx.dat,cangetcorrespondinginvoluteslikeFig.3.Fig.3154=v2003MBecausetooththicknessandtoothspacewidthofreferencecircleisequality,theoppositecenterangleofgearteethandtoothspaceisequality,thentheoppositecenterangleofhalftooththicknessis12c3602z,viz90z,herezisnumberofteeth.XCaxisshouldberotatednullk+90zandmaketheabovenullkexpressiongoto,corneristgnullk-nullk+90z.Becauseofthepressureangleofreferencecircleofstandardgearis20,soXCaxisshouldberotated(tg20-203.1415926/180)3.1415926180+90z.PlotalineatXCaxis,andselectthelineascenterofmirrorandmirrorinvoluteswithExistingLineinMirrorThroughaLine.Theradiusoftheanglebetweentoothprofilesurfaceandroofis=c*cm1-sinnulli,heremismodule,nulliisnominalpressureangle,c*isbottomclearancecoefficientq2r.Atlast,cangetthree-dimensionalentitymodelofgearwithtripping,corneringandstretching.likeFig.4.Fig.4Atthesamemethod,cangetgearteethinvolutestoothprofileofgearshaft.2SomeproblemsshouldbepaidattentiontowhenmodelingcoverHollowcoveraftercompletingthewholemodelofcover,cangetpartialentityandcantgettheperfectfullentity.Here,weuseRegioninHollowandchangecoverintotwoparts:bearingseat,protuberantlevelandboardingbodywhichisconnectwithmountisonepart,theotherisanotherpart,andhollowseparately.ThekeypointisthetwopartscannotUnitebeforehollowingandmustbeUnitedafterhollowing.Wethinkthecomplicatedbodyshouldbedisintegratedintosimplebodiesandbehollowedseparately,thenUnite.1552ZHANGYeThree-DimensionalEntityModelandMovementEmulationll3LocationofgearshaftandgearwhenassemblingAxiallocationbetweengearandgearshaftisnotconfirmedwhentheyareassembledonmount,sointerveningcanhappenamonggearteeth.ThereareeighttypesrestrictioninUGq1r,suchasMate,Align,Angle,Parallel,Perpendicular,Center,DistanceandTangent,buttheyallcannotsetupmatingrelationoftwogears.Therefore,itisnecessarytoplotcorrespondinglocationsurfaceduringthecourseofentitymodelofgearshaftandgears.Hereweplotcenterlineoftoothspaceofgearshaftandcenterlineofgearteethandthetwolinesshouldbekeptparalleleachotherduringthecourseofassembly,sotheinterveningamongteethcanbeavoided.Wekeeptheabovetwolinesseparatelypar-allelwithfringelinesofmountwithParallelrestrictionrelation,sothetwolinesmaybeparallelmore.Thereby,gearteethcannotinterveneduringthecourseofengagement.Wecompletethree-dimensionalentitymodelofthemaincomponentsofreducer.Then,wemakemovementemulationforit.First,establishmovementanalysiscase,andgearshaftandbearinginsidetrackislink1,andshaft,gear,fixed-distanceloopandcorrespondingbearinginsidetrackislink2.Then,setupJointformovementunit,namelysetupRevolutebetweengearshaftandgearseparate-ly.Atlast,setupCompound-Gearofrevolute1and2.SelectKinematic/DynamicAnalysisinAni-mation,andinputTimeandStep,wecanmakemovementemulationforreducer.Reference:1GuangliZhang,PengZhang,XueHong,UG18BASICTUTORIALBeijing:publishingcompanyofQinghuaUni-versity,2002.2RongtanFeng,ZhuyouTian.HOWTOCOMETRUEGEARPAIRTHREE-DIMENSIONALMODELM.JournalofBeijingmechanicaltechnicalcollege,15booknumber4(2000)3ChunxiangDai.EMULATIONFORENGAGEME