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3.9MetalRemoval,DimensionalChainsandEconomicTolerance3.9.1ConceptofmetalremovalThewholethicknessofthisremovedmetallayeriscalledthetotalmetalremoval,andthemetalremovedineachoperationiscalledoperationremoval.TherelationshipbetweentotalmetalremovalZtandeachoperationremovalZiiseasilyestablished,whichis,here,nisthenumberofjobsorsub-jobsforthesurface.Therateofmetalremovaldirectlyinfluencesthemachiningquality,productionefficiencyandtheeconomicresult.ifthemetalremovalistoolarge,itwillwastebothmaterialandtimeanditwillgeneratelargetemperaturesandforces,whichwillcausetheworktodeform,andthusaffectthemachiningquality.niZZZZZ21总2021/6/231SCUTRotatingaxistheworkpieceAxisAftermachiningBeforemachining2021/6/232SCUTFig.3.453.9.2Thefactorsaffectingtherateofmetalremoval(1)Affectedbythesurfacequalitiesproducedbytheprecedingoperation,whicharetheroughness(Ra)anddefectivethickness(ta)Thelayers,includingthemicroroughlayer,thecoldplasticlayer,oxidizedlayerandcrackinglayerleftbytheprecedingoperation,mustberemovedbythecurrentoperation.ThesizeofRaandtaisrelatedtothemachiningmethod,forinstancetable3.11showsthereferencevaluesofta.2021/6/233SCUTTable3.11Valueoftainvariousmachiningmethod(μm)MachiningmethodtaMachiningmethodtaMachiningmethodtaClose-dieforging500Roughenlarginghole40~60Finishplaning25~40Colddrawing80~100Finishenlarginghole30~40Roughslotting50~60Hotrolling150Roughreaming25~30Finishslotting35~50Highaccuracyrolling300Finishreaming10~20Roughmilling40~60Metaldieforging100Roughboring30~50Finishmilling25~40***Finishboring25~40broaching10~20Externalorinternalroughturning40~60externalcylindricalGrinding15~25Cuttingoff60Externalorinternalfinishturning30~40Internalholegrinding20~30lapping3~5Endsurfaceroughturning40~60Endfacegrinding15~35Super-lapping0.2~0.3Endsurfacefinishturning30~40Surfacegrinding20~30polishing2~5drilling40~60Roughplaning40~50Thetoleranceofincludesthegeometricalshapeerror,suchasthedegreeofconing,ellipsingandsurfaceflatness.Thesizeofcanbedecidedaccordingtothetoleranceoftheselectedmachiningmethod,whichcanbefoundinhandbooksandininformationbookletsprovidedbymetalcuttingmanufacturers.Ta2021/6/235SCUT(2)ItisaffectedbythetoleranceTaoftheaccurateoperationTa3.9.2Thefactorsaffectingtherateofmetalremovalmax(a)minLbb(LLbL(bminaLmaxaLL(a)δ))ZbδbZbminmaxamaxmin)LaLamin(b)((LaLbmaxbL(LbbLδbZmaxδaminZbb))图5-12加工余量与工序公差的关系ZbFig3.44therelationshipbetweenmetalremovalandoperationaltolerancebabLLZFig.(a)showstheoperationonanexternalcylindricalsurface(herecalledsurroundedSurface被包容面).thecurrentmetalremovalZbis:2021/6/236SCUT3.9.2ThefactorsaffectingtherateofmetalremovalThemaximummetalremoval:Zbmax=Lamax-LbminTheminimummetalremoval:Zbmin=Lamin-LbmaxForthesurroundingsurfaces,themaximummetalremovalandminimummetalremovalare:Zbmax=Lbmax-LaminZbmin=Lbmin-LamaxItisobviousthattheprecedingoperationaltolerancewillinfluencethesizeofthecurrentoperation,sincethetoleranceofthemetalremovalisZ=Zmax-Zmin=Ta+Tb2021/6/237SCUT(3)Itisaffectedbytherelativepositionerror()betweentheprecedingmachinedsurfacesTheerrorofincludesthedegreeofthelinearity,theparallelismbetweenaxes,theperpendicularitybetweenaxisandsurface,coaxialitybetweeninnerandexternalsurfaces,andflatnessofsurface.Thesekindsoferrorshouldbecorrectedinthecurrentoperationsoastoensurethemachiningquality.2021/6/238SCUT3.9.2Thefactorsaffectingtherateofmetalremoval(4)Itisaffectedbythecurrentclampingerror()Theerrorincludesboththepositioningandclampingerror,aswellasthemanufacturingerrorofthefixture.Itsvalueisthevectorsumoftheabovethreevariables.Itwilldirectlyaffecttherelativepositionbetweenthesurfaceandcuttingtool.Avectorsumshouldbeusedtoevaluatetheirresultantinfluenceonmetalremoval.TheinfluenceofvariousfactorsonmetalremovalisschematicallyshowninFig3.25bb2021/6/239SCUT3.9.2ThefactorsaffectingtherateofmetalremovalFig.3.45FactorsinfluencingthemetalremovalRotatingaxistheworkpieceAxisAftermachiningBeforemachining2021/6/2310SCUT3.9.3Methodofplanningthemetalremoval(1)calculationmethodThefollowingformulacanbeobtainedbasedontheanalysisoftheabovefactorsaccordingtoFig.3.45.Thebasicbilateralmetalremoval(双边余量)forasymmetricalsurface,suchasaholeoraxis,is:orThebasicunilateralmetalremoval(单边余量)foranunsymmetricalsurface(suchasaplane)is:)()(2baaaabtRTZε△ρ)(2)(22baaabtRTZεκ△ρ()()baaaabZTRtερ△2021/6/2311SCUT(2)MethodoflookinguptablesThismethodiswidelyusedinfactories.Thetableispreparedaccordingtotheproductionpracticeandexperimentalresearchworkofthefactory,aswellasmodificationafterconsideringthespecificmachiningcondition.Theappropriaterateofmetalremovalcanbefoundinhandbooksandininformationbookletsprovidedbymetalcuttingmanufacturers.2021/6/2312SCUT3.9.3MethodofplanningthemetalremovalThismethodismainlyusedinsingleorsmallbatchtypeproduction,andthemetalremovalrateisestimatedbyexperience,thusitisnotveryaccurate.Itcauseshighrejectrates(废品率).2021/6/2313SCUT(3)Experientialmethod3.9.3Methodofplanningthemetalremoval3.9.4DimensionalChains1.TheconceptofadimensionalchainInmechanicaldesignandtechnicalwork,itisof
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