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1、GD&T尺寸链公差叠加分析GD&T尺寸链公差叠加分析第一章：尺寸链公差叠加介绍(TSUIntroduction)什么是尺寸链公差叠加？(WhatsTSU?)尺寸链公差叠加能解决什么问题？(WhatiSSUeSTSUCanSOIve?) 尺寸链公差叠加的作用(FUnCtionofTSU) 尺寸链公差叠加的类型(CategOrieSofTSU)第二章：线性尺寸链公差叠加(LinearTSU) 线性尺寸链公差叠加步骤(TSUCalCiJlatiOnStePS) 线性尺寸链公差叠加计算总结(TSUSUmmary) 线性尺寸链公差叠加计算练习(TSUExercises)第三章：零件位置度尺寸链公差叠加(
2、PositionalTSUofParts) 位置度尺寸链公差输入(EntryofPositionalTolerance) 位置度尺寸链公差叠加(PoSitiOnalTSU) 位置度尺寸链公差叠加带基准偏移(POSitionalTSUWithDatumShift),位置度公差叠加示例(EXamPIeofPositionalTSU) 复合位置度公差叠加(ComPOSitePositionalTSU) 位置度公差叠加练习(POSitiOnalTSUExercises)第四章：装配件位置度尺寸链公差叠加(PositionalTSUOfAssembIy) 位置度尺寸链公差叠加,RFS(Positiona
3、lTSUofAssembly,RFS) 位置度尺寸链公差叠加,MMS(PositionalTSUofAssembly,MMS) 位置度尺寸链公差叠加有基准偏移(PoSitionalTSUofAssemblywithDatumShift)第五章：轮廓度尺寸链公差叠加(ProfileToleranceStack-up) 轮廓度理论尺寸和公差的输入(DimenSionandToleranceEntryofProfile) 零件轮廓度尺寸链公差叠加(PrOfiIeTSUofParts) 复合轮廓度尺寸链公差叠加(ComPOSiteProfileTSUofParts)第六章：形状度尺寸链公差叠加(FOr
4、mTOIeranCeStaCk-UP) 形状度尺寸链公差叠加(FOrmtolerancestack-up) 平面度尺寸链公差叠加(FIatneSSTSU) 平面度尺寸链公差叠加示例(EXamPIeofFlatnessTSU)第七章：方向度尺寸链公差叠加(OrientationTOIeranCeStaCk-UP)方向度尺寸链公差叠加介绍(OrientationTSUIntroduction) 垂直度尺寸链公差叠加(TSUUsingPerpendicularity) 垂直度尺寸链公差叠加FoS(TSUUsingPerpendicularity,FOS)第八章：跳动度尺寸链公差叠加(RunoutTS
5、U) 零件跳动度尺寸链公差叠加(RUnOlltTSU) 零件跳动度尺寸链公差叠加练习(PartRunoutTSUExercise) 装配件跳动度尺寸链公差叠加(RllnOUtTSUofAssembly) 装配件跳动度尺寸链公差叠加示例(ASSernblyRunoutTSUExample) 装配件跳动度尺寸链公差叠加练习(ASSembIyRllnoUtTSUExercise)第九章：综合尺寸链公差叠加(TSUusingMultipleGeometricTolerance) 综合示例1Example1 综合示例2Example2 综合示例3Example3Chapter1尺寸链公差叠加介绍Tole
6、ranceStack-upIntroduction尺寸链公差叠加介绍(TSUIntroduction) 什么是尺寸链公差叠加？(WharSTSU?) 尺寸链公差叠加能解决什么问题？(WhatissuesTSUcansolve?) 尺寸链公差叠加的作用(FUnCtionofTSU) 尺寸链公差叠加的类型(CategorieSofTSU)什么是尺寸链公差叠加？(What,sTSU?)尺寸链公差叠加定义(DefinitiOnOfTSU) 尺寸链公差叠加计架决定在一个零件上或一个装配上，两个形体之间理论上的最盛最小距离。Atolerancestack-upisacalculationwhichdete
7、rminesthetheoreticalmaximumorminimumdistancebetweentwofeaturesonapartorinanassembly. 公差配；决声在一个零件上或一个装配上允许的制造公差，得指定能。Toleranceallocation-theprocessOfdeterminingtheallowablemanufacturingtoleranceonapiecepartofassemblydimensiontoachievethegivenfunction. 公差分析一一个数学方法,用来评估几个尺寸或零件的公差偏差来褊保实现形状、装配和功能宴束。Toler
8、anceanalysisAmathematicaltechniquetoassessthetolerancevariationacrossseveraldimensionsorparts.Toconfirmthatform,fitandfunctionhavebeenachieved.尺寸链公差叠加能解决什么问题?(WhatissuesTSUcansolve?)尺寸叠加解决的典型问题：(TyPiCaliSSUeSincluding) 两个面有干涉吗？Willtwosurfacesinterfere?) 孔轴能装配吗？(Winthepinfitthehole?) 如果减少孔的间隙，零件依然可以装
9、配吗？(IfredUCetheSiZeOftheclearanceholes,willthepartsstillassemblewell?) 如何控制公差。(HOWtocontroltolerance)尺寸链公差叠加的作用(FunctionofTSU) 优化零件和装配件的公差(C)PHmiZethetOIeranCeOfPartSandaSSemblieSinanewdesign.) 获得满足功能要求的最好的成本效率设计(TOaChieVethCmOStCOSteffectivedesignwhichwillmeetallfunctionalrequirements) 确定零件公差、满足最终组
10、装件的装配(DCtCnninethCParttOIeranCeSrequiredtosatisfyafinalassemblycondition.) 知道了装配公差如何推断零件公差(DeterminetheaHoWableParttOIeranCeSifassemblytoleranceisknown.),解决现有零件和装配件的失效问题(TmUbIeShootmalfUnCtioningexistingpartsofassemblies.) 寻找零件公差调整方案的可行性(Exploredesignalternativesusingdifferentormodifiedparts)Chapter
11、2线性尺寸链公差叠加LinearToleranceStack-up线性尺寸链公差叠加(LinearTSU)线性尺寸链公差叠加步骤(TSUcalculationsteps)线性尺寸链公差叠加计算总结(TSUSummary)线性尺寸链公差叠加计算练习(TSUExercises)线性尺寸链公差叠加步骤(TSUcalculationsteps)1.确定要分析的距离Determinethedistancetobeanalyzed线性尺寸链公差叠加步骤(TSUcalculationsteps)2.确定正负Dete门ninethe positive and negative directiona) 增加A-
12、B距离的尺寸为+(DimcnsionsspanningthedistanceA-B:+)b) 减小A-B距离的尺寸为 (Dimensions decreasing the distance A-B:线性尺寸链公差叠加步骤(TSUcalculationsteps)3 .将公差转换成正负对等格式(COnVertalldimensionsandtolerancetoequalbilateralformat)a) 将尺寸及公差转化成极限尺寸(ConVertdimensionsandtolerancetolimitdimensions)b) 最大极限尺寸减去最小极限尺寸求出总公差(ThCmaXimUml
13、imitsubtractstheminimumlimittogettotaltolerance)c) 总公差除以2求出等值正负公差(ThCtotaItolCranCeiSdiVidCdby2togetthebilateraltolerance)d) 最大极限尺寸减去一半公差或最小极限尺寸加上一半公差求出中间尺寸值(Themaximumlimitsubtractshalfoftoleranceortheminimumlimitaddshalfoftolerancetogetthemediandimension)例如：ForeXampie:只、，o.25最大极限尺寸(Upperlimt)=8.5+
14、0.25=8.75最小极限尺寸(LoWerIimit)=8.50-0.10=8.40总公差Totaltolerance=8.75-8.40=0.35线性尺寸链公差叠加步骤(TSUcalculationsteps)总公差除以2得到等值正负公差DiVidethetotaltoleranceby2toobtaintheequal=0.175bilateraltolerancevalue.0.35Equalbilateraltolerancevalue=2中间值等于Themediandimensionisequaltoeither:8.75-0.175=8.575or8.40+0.175=8.575中
15、间值带等值正负公差Themediandimensionwithitsequalbilateraltolerance:MISSINGDISTANCE8.5750.175,Converted5tOS 1W5115魅力凌潮轩15tO5线性尺寸链公差叠加步骤(TSUcalculationsteps)4 .把所有尺寸和公差填入一个表格内,正尺寸值放入歹U，负尺寸值放入“一”歹J,并把相应列的的尺寸及公差相加,结果放在表的底部Putalldimensionsandtolerancesintoachart.Placeeachpositivedimensionvalueinthe+”column,andeac
16、hnegativeoneinthe”一“column.ThenAddtheentriesineachcolumn,enteringtheresultsatthebottomofthechart1650555t15TOTALSPOSITIVEJTOTALNEGATIVETOTAL-Toterances1510556511517.50.5115654535TOTALTOLERANCEVALUE魅力凌湖轩线性尺寸链公差叠加步骤(TSUcalculationsteps)5 .正尺寸值总和减去负尺寸值总和得到距离的名义尺寸值.名义尺寸值加上或减去总公差值得到最大和最小距离值.Subtractingthe
17、negativetotalfromthepositivetotalgivesthenominaldimensionofdistance.Addingorsubtractingthetotaltolerancefromthenominaldimensiongivesthemaximumandminimumdistancevalues.魅力凌潮轩线性尺寸链公差叠加计算总结(TSUSummary)线性尺寸链公差叠加步骤： 1.所有尺寸必须转换成正负对等格式 2.画出向量路径图,显示尺寸链中每个尺寸 3.向量路径图,从起点到终点,每个连续尺寸向量按方向有正负之分 4.绘制好向量图后,将尺寸和公差输入分
18、析表格 5.将正数栏相加输入总正数栏,负数栏相加输入总负数栏.将总正数和总负数相加得出尺寸名义值 6.尺寸名义值加上或减去总公差值,得出最大和最小距离值魅力凌湖轩线性尺寸链公差叠加计算总结(TSUSummary)LinearTSUCalculationSteps: I.Alldimensionsandtolerancesmustbeconvertedtoequalbilateralformat. 2.DrawavectordiagramindicatingthepaththateachdimensionmustbeincludedinTSU 3.Inavectordiagram,thedire
19、ctionofeachsuccessivedimensionfromthestartingsurfaceisindicatedbyanarrowandisgivenapositiveornegativesign. 4.Afterdrawingthecompletevectordiagram,enterthedimensionsandtolerancesinthechart 5.Totalthepositiveandnegativecolumnsaswellasthetolerancecolumn.Subtractingthenegativetotalfromthepositivetotalgi
20、vesthenominaldimensionofdistance 6.Addingorsubtractingthetotaltolerancefromthenominaldimensiongivesthemaximumandminimumdistancevalues.魅力凌湖杆线性尺寸链公差叠加计算练习(TSUExercises)线性尺寸链公差叠加练习1TSUExercise1计算A-B的最大和最小距离CalculatethemaxandmindistanceofA-B线性尺寸链公差叠加计算练习(TSUExercises)计算A-B的最大和最小距离Calculatethemaxandminga
21、pofA-BItemDescriptionPositiveNegativeComponentPercentFactoredTotalToleranceComponentToleranceSquaredNominalNominalToleranceContnbution/-1Groove-Head300217%0042OVeraHlength450542%0.253Tip-Groove1320.542%02540%050%0SubTotal:,4543.21.2100%11020735Nominal:1.81.2MRSSRSSResults:MinMaxStatMinStaLMax0.63J0.
22、6982.902nGap魅力凌潮轩线性尺寸链公差叠加计算练习(TSUExercises)线性尺寸链公差叠加练习2TSUExercise2计算A-B的最大和最小距离CalculatethemaxandmindistanceofA-B线性尺寸链公差叠加计算练习(TSUExercises)线性尺寸链公差叠加练习2TSUExercise2计算A-B的最大和最小距离CalculatethemaxandmingapofA-BPortNumberRev.ItemDescriptionPositweHeatrreComponentPercentFactoredTotalToeranc9ComponentTol
23、eranceSquaredHomiMiNormnalToleranceContfrtwtion./51PmLength115014%00142IHPlateThickness2028%0(M33SandoffThickness860313%00924FlagtoFlangtO$BtwnLHandRHhm231142%125RHAngleBracketWebTluckness25014%00176RHRateThkness2028%0046&77TbcknssofRHPlateandBoss730521%02580%0SubTotal:35.529.42.4100%18001200Nominal
24、:6.12.4MRSSRSSMinMaxStatMlnS(atMax3.7854.3007.900魅力凌湖轩Chapter3零件位置度尺寸链公差叠加PositionalTSUofParts魅力凌湖轩零件位置度尺寸链公差叠加PositionalTSUofParts 位置度尺寸链公差输入(EntryofPOSitiOnaITOleranCe) 位置度尺寸链公差叠加(POSitionaITSU) 位置度尺寸链公差叠加带基准偏移(PositionalTSUWithDatumShift) 位置度公差叠加示例(ExampleOfPositionalTSU) 复合位置度公差叠加(CompositePosit
25、ionalTSU) 位置度公差叠加练习(PositionalTSUExercises)魅力凌湖轩位置度尺寸链公差输入EntryofPositionalTolerance无论位置度是否标注了实体补偿,或者是否存在公差补偿或基准偏移,都应该按照标准的三行公差输入,即位置度公差、公差补偿、基准偏移Threenumberoflines(positionaltolerance,bonustolerance,datumfeatureshift)shouldbeenteredintotheTSUreportformforallpositionaltolerances,regardlessiftheyares
26、pecifiedRFSorwithadatumreferenceframethatdoesnothavefeatureshift.魅力凌湖轩位置度尺寸链公差输入EntryofPositionalTolerance_-FITFTI3-魅力凌湖轩位置度尺寸链公差叠加POSitionalTSU位置度公差转换为正负对等形式（无基准偏移）Convertingpositionaltolerancestoequalbilateral=t=tolerance(withoutdatumshift)Example:P1.计算正负对等形式的位置度公差Calculatetheequivalentequalbilate
27、ralpositionaltoleranceatMMCa.PositionaltoleranceatMMC=0.8b.Positionaltolerance2=0.82=0.4位置公差正负对等形式=0.4EquivalentequalbilateralpositionaltoleranceatMMC=0.42 .计算正负对等形式的奖励公差Calculatetheequivalentequalbilateralbonustolerancea.尺寸公差SiZetolerance=+0.25=0.25-(-0.25)=0.5b.奖励公差BonUStolerance=0.6魅力凌湖轩位置度尺寸链公差叠
28、加POSitionalTSUc.奖励公差BonUStolcrance2=0.62=0.3正负对等形式的奖励公差=0.33 .基准偏移DatUmShift=O魅力凌湖仃位置度尺寸链公差叠加带基准偏移PositionalTSUWithDatumShift彳立置度公差转换为正负对等形式（有基准偏移）Convertingpositionaltolerancestoequalbilateraltolerance（withdatumshift）基准偏移DatUmfeatureshift如果基准尺寸要素标示了MMC或LUC,模拟基准会比实际零件基准要素小，从而允许零件相对模拟基准移动Whendatumfea
29、turesofsizearereferencedatMMCorLMC,theirdatumfeaturesimulatorsmaybesmallerorlargerthanthedatumfeaturesofsize,whichallowstheparttoshiftormoverelativetothedatumfeaturesimulators.当两个形体具有相同的基准系，同时性规则认为这两个形体为一组形体,最大基准偏移量取决于检具尺寸和基准形体INC之差Themaximumallowabledatumshiftisthedifferencebetweenthegagesizeandthe
30、LMCsizeofthedatumfeature.两个形体之间就没有基准偏移。当两个习题具有不同的基准系或使用分离要求（SEPREQT）,同时性规则失效，两个形体之间就有基准偏移WithinaPart,datumshiftmaybecomeafactorwhencalculatinggapsbetweenfeatures.Copyright2010戟力凌潮杆位置度尺寸链公差叠加带基准偏移PositionalTSUWithDatumShiftWhenthedatumreferenceframeisidenticalforbothfeatures,datumshiftdoesnotoccursin
31、cetheruleofsimultaneousrequirementsappliedandthefeaturesarcconsideredtobeapattern.Wheredifferentdatumreferenceframesareusedorseparaterequirementsareapplied,datumshiftmustbeconsidered.零件形体基准偏移向量=谨准尺寸公差+基准几何公差）/2DatUmShifivectorwithinapart=（DatumFeatureSizeTolerance+DatumFeatureGeometricTolerance）/2Ex
32、ample:.1 .计算正港等形式的位置度公差CalculatetheequivalentequalbilateralpositionaltolerancealMMCa. PositionaltoleranceatMMC=Ib. Positionaltolerance2=1/2=0.5位置公差正负对等形式=0.5Equivalent+equalbilateralpositionaltoleranceatMMC=0.5Copyright2010L力凌沏轩位置度尺寸链公差叠加带基准偏移PositionalTSUWithDatumShift2 .计算正负对等形式的奖励公差Calculatetheeq
33、uivalentequalbilateral+bonustolerancea.尺寸公差SiZetOIeranCe=+0.5=0.5-(-0.5)=1b.奖励公差BOnUSIolerance=Ic.奖励公差BOnUStolcrance2=l2=+0.5正负对等形式的奖励公差=0.53 .基准偏移DalUmShift=(0.5+0.8)2=0.65Copyright2010阻力凌湖轩位置度公差叠加示例ExampleofPositionalTSUCopyright2010魅力凌湖轩位置度公差叠加示例ExampleofPositionalTSU位置度公差叠加示例ExampleofPositionalT
34、SUCopyright2010阻力凌湖轩复合位置度公差叠加CompositePositionalTSU复合位置度公差ComPOSitePositionalTolerance复合位置度公差上格代表尺寸形体相对于基准系的位置误差ThepositionaltolerancespecifiedintheUppersegmenlofthefeaturecontrolframerepresentsthetotalallowablevariationinlocationofthefeaturestoadatumreferenceframe.,通常复合位置度公差的上格用于公差叠加TyPiCaHythetole
35、rancedefinedintheuppersegmentisusedinTSU复合位置度下格控制尺寸形体之间的关系和相对制定基准的方向.Thepositionaltolerancedefinedinthelowersegmentofthefeaturecontrolframeisnotbasicallylocatedtoadatumreferenceframetheymayonlybebasicallyorientedtoadatumreferenceframeandisbasicallylocatedtoeachotherinthecaseofapattern.复合位置度下格用于公差叠加，
36、当该叠加在形体组之间进行时ThepositionaltolerancespecifiedintheIowersegmentmaybeusedinTSUiftheTSUisbetweenfeaturesinapattern.Copyright2010魅力凌湖轩复合位置度公差叠加CompositePositionalTSUExample:20152O.2Copyright2010L力凌湖轩复合位置度公差叠加CompositePositionalTSUResults:DatumShift=O 因为同时性要求0316RSS Stat. MaX80.074SUbTOtaI: Nominal:0474 M
37、RSS SW. Min 79.126MaximumGaP=80.2 Minimum Gap=79Copyright2010阻力凌湖杆位置度公差叠加练习PositionalTSU Exercises计算GaP的最大和最小值Calculatethe Max and Min GapCopyright2010能为凌湖杆位置度公差叠加练习PositionalTSUExercises位置度公差叠加练习PositionalTSUExercises公差累积计算结果TSUresultPositiveNegativeComponentPercentFactoredComponentIttmDttcriptionN
38、ominalNominalToleranceConUibutionTotalToleranceToleranceSquaredI1Radius1825002Positionaltolerance01522%00225I3Bonustolerance02537006254Datumshrft00%05Normaldimension20200%06Positionaltolerance00812%00047Bonustolerance0229%0048Datumshrft0009Radus2430%01000SubTotal:2012.W0.68100%05440362Nominal:7.450.
39、68MRSSRSSMinMaxSst.MinStMax6.778.136.9067.994Copyright2010魅力凌湖轩位置度公差叠加练习PositionalTSUExercises练习2Excrcisc2Copyright2010阻力凌湖轩位置度公差叠加练习PositionalTSUExercises公差累积计算结果TSUresulttmDescriptionPositiveNegatiYeNominalComPOnemTolrancPercentFactoredTtAToleranceComponentToleranceSquaredNominalContribution*/.1Ra
40、dus14302Positionaltolerance00000643Bonustolerance020044Datumsh005Normaldimension404006Positionaltolerance00000647Bonustolerance020048Datumshift009Radius24.30100%0SubTotal:408.60.S60%04570305Nominal:31.40.S6MRSSRSSRsultt:MinMaxStat.MlnStatMax30.8431.9630.94331.857Copyright2010魅力凌湖轩位置度公差叠加练习Positional
41、TSUExercises练习3Excrcise3Copyright2010魅力凌湖轩位置度公差叠加练习PositionalTSUExercises公差累积计算结果TSUresultPositiveNegativeComponentPercentFactoredComponentItemDescriptionNominalXominalTo*erace-7-COIltrtWtkMITotolTolerafKeToleranceSquared1Radius1430%02Positioniltokfr00815000643BonustoleranceQ9380044Datumshift00%05No
42、crmnaidimension28280Q6NOnrNnaIdmensx44447Positionaltoefare00590002S8Bonustolerance0238%0049Datumshift0Q5010Radus2220%0110%0SubTotal:44r34.50.53100%04470298Nominal:0.53URSqRSSResults:MinMaxSULMmStatMax8.9710.039.0539.947Copyright2010能为凌湖杆位置度公差叠加练习PositionalTSUExercises练习4Exercise4TSUSketch ICopyright2010魅力凌湖轩位置度公差叠加练习PositionalTSUExercises公差累积计算结果TSUresultItemDescriptionPositrveHegatnreComponentPercentFflc
