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1、EngineeringLetters,20:2,EL_20_2_04______________________________________________________________________________________DesigningFour-barLinkagesforPathGenerationwithWorstCaseJointClearancesSamerK.Mutawe,YahiaM.Al-Smadi,RajpalS.SodhiAbstract—Thecalculationofmechanismparametersrequirede
2、xamplesoffactorsattributingtothesetolerances.Theeffecttoachieveorapproximateasetofprescribedrigid-bodypathoftherequiredjointassemblytolerancesonthefour-barpointsisdeterminedbytheuseofFour-barpathgeneration.Thismechanismsynthesisisstudied.workwilldiscusstheuseofpathgenerationwhileconsid
3、eringtheManymethodsandanalyseshavebeenconsideredtopositiontoleranceresultingfromjointrunningclearance.Notincludeerrorcausedbyjointclearancesandlinkgeometryonlywillthisworkdiscusstheuseofpathgenerationoffour-bartolerancesinthemechanismsynthesis.Graphicalandmechanisminitsfamiliarform,itw
4、illincludepositiontoleranceasaresultofjointrunningclearance.ThestandardsofAmericanmathematicalapproachestoinvestigatetheefficiencyofNationalStandardInstitute(ANSI)willbeappliedinthisstudy.planarmechanismstoapproximatethecouplerposesThispaperwillimplementthejointtolerancesintotheconside
5、ringtheerrors/tolerancesinmechanismlinkageswereconventionalplanarfour-barpathgenerationmodeldevelopedby[2]and[3].Recentcontributionsperformedbydisplacementmatrixasadesignconstraint.Thissynthesiswill[4],[5]and[6]modeledthejointclearanceasamasslessproduceaplanarfour-barmechanismwithmovin
6、gpivotsandvirtuallink(clearancelink)andinvestigatedthejointlengthtolerancelimitsfromwhichanymechanismcanbecreatedclearanceeffectonthemechanismperformancetoachievethetotravelthroughouttheprescribedpathforacouplerpointwithprescribedcouplercurves/points.Amethodtopredicttheitsspecifiedtole
7、rance.Anexampletodemonstratethesynthesis1limitsofthetoleranceregionbychoosingtheclearancevalueofafour-barmechanismwithjointtolerancesisincluded.wasalsoproposedby[6].IndexTerms—Pathgeneration,jointtolerances,worstcaseα?12??PP22tolerance,mechanismtolerance?α??11P11aa1PP33I.INTRODUCTION