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INTJADVMANUFTECHNOL2001187847892001SPRINGERVERLAGLONDONLIMITEDACLAMPINGDESIGNAPPROACHFORAUTOMATEDFIXTUREDESIGNJCECILVIRTUALENTERPRISEENGINEERINGLABVEEL,INDUSTRIALENGINEERINGDEPARTMENT,NEWMEXICOSTATEUNIVERSITY,LASCRUCES,USAINTHISPAPER,ANINNOVATIVECLAMPINGDESIGNAPPROACHISDESCRIBEDINTHECONTEXTOFCOMPUTERAIDEDFIXTUREDESIGNACTIVITIESTHECLAMPINGDESIGNAPPROACHINVOLVESIDENTIFICATIONOFCLAMPINGSURFACESANDCLAMPPOINTSONAGIVENWORKPIECETHISAPPROACHCANBEAPPLIEDINCONJUNCTIONWITHALOCATORDESIGNAPPROACHTOHOLDANDSUPPORTTHEWORKPIECEDURINGMACHININGANDTOPOSITIONTHEWORKPIECECORRECTLYWITHRESPECTTOTHECUTTINGTOOLDETAILEDSTEPSAREGIVENFORAUTOMATEDCLAMPDESIGNGEOMETRICREASONINGTECHNIQUESAREUSEDTODETERMINEFEASIBLECLAMPFACESANDPOSITIONSTHEREQUIREDINPUTSINCLUDECADMODELSPECIFICATIONS,FEATURESIDENTIFIEDONTHEFINISHEDWORKPIECE,LOCATORPOINTSANDELEMENTSKEYWORDSCLAMPINGFIXTUREDESIGN1MOTIVATIONANDOBJECTIVESFIXTUREDESIGNISANIMPORTANTTASK,WHICHISANINTEGRATIONLINKBETWEENDESIGNANDMANUFACTURINGACTIVITIESTHEAUTOMATIONOFFIXTUREDESIGNACTIVITIESANDTHEDEVELOPMENTOFCOMPUTERAIDEDFIXTUREDESIGNCAFDMETHODOLOGIESAREKEYOBJECTIVESTOBEADDRESSEDFORTHESUCCESSFULREALISATIONOFNEXTGENERATIONMANUFACTURINGSYSTEMSINTHISPAPER,ACLAMPDESIGNAPPROACHISDISCUSSED,WHICHFACILITATESAUTOMATIONINTHECONTEXTOFANINTEGRATEDFIXTUREDESIGNMETHODOLOGYCLAMPDESIGNAPPROACHESHAVEBEENTHEFOCUSOFSEVERALRESEARCHEFFORTSTHEWORKOFCHOU1FOCUSEDONTHETWINCRITERIAOFWORKPIECESTABILITYANDTOTALRESTRAINTREQUIREMENTTHEUSEOFARTIFICIALINTELLIGENCEAIAPPROACHESASWELLASEXPERTSYSTEMAPPLICATIONSINFIXTUREDESIGNHASBEENWIDELYREPORTED2,3PARTGEOMETRYINFORMATIONFROMACADMODELHASALSOBEENUSEDTODRIVETHEFIXTUREDESIGNTASKBIDANDA4DESCRIBEDARULEBASEDEXPERTSYSTEMTOIDENTIFYTHELOCATINGANDCLAMPINGFACESFORROTATIONALPARTSTHECLAMPINGMECHANISMISUSEDTOPERFORMBOTHTHELOCATINGANDCLAMPINGCORRESPONDENCEANDOFFPRINTREQUESTSTODRJCECIL,VIRTUALENTERPRISEENGINEERINGLABVEEL,INDUSTRIALENGINEERINGDEPARTMENT,NEWMEXICOSTATEUNIVERSITY,LASCRUCES,NM88003,USAEMAILJCECILL50560NMSUEDUFUNCTIONSOTHERRESEARCHERSEGDEVORETAL5,6HAVEANALYSEDTHECUTTINGFORCESANDBUILTMECHANISTICMODELSFORDRILLING,ANDOTHERMETALCUTTINGPROCESSESKANGETAL2DEFINEDASSEMBLYCONSTRAINTSTOMODELSPATIALRELATIONSHIPSBETWEENMODULARFIXTUREELEMENTSSEVERALRESEARCHERSHAVEEMPLOYEDMODULARFIXTURINGPRINCIPLESTOGENERATEFIXTUREDESIGNS2,711OTHERFIXTUREDESIGNEFFORTSHAVEBEENREPORTEDIN1,3,9,1223ANEXTENSIVEREVIEWOFFIXTUREDESIGNRELATEDWORKCANBEFOUNDIN21,24INSECTION2,THEVARIOUSSTEPSINTHEOVERALLAPPROACHTOAUTOMATETHECLAMPINGDESIGNTASKAREOUTLINEDSECTION3DESCRIBESTHEDETERMINATIONOFTHECLAMPSIZETOHOLDAWORKPIECEDURINGMACHININGANDINSECTION4,THEAUTOMATICDETERMINATIONOFTHECLAMPINGSURFACEORFACEREGIONONAWORKPIECEISDETAILEDSECTION5DISCUSSESTHEDETERMINATIONOFTHECLAMPINGPOINTSONAWORKPIECE2OVERALLAPPROACHTOCLAMPDESIGNINTHISSECTION,THEOVERALLCLAMPINGDESIGNAPPROACHISDESCRIBEDCLAMPINGISUSUALLYCARRIEDOUTTOHOLDTHEPARTINADESIREDPOSITIONANDTORESISTTHEEFFECTSOFCUTTINGFORCESCLAMPINGANDLOCATINGPROBLEMSINFIXTUREDESIGNAREHIGHLYRELATEDOFTEN,THECLAMPINGANDLOCATINGCANBEACCOMPLISHEDBYTHESAMEMECHANISMHOWEVER,FAILURETOUNDERSTANDTHATTHESETWOTASKSARESEPARATEASPECTSOFFIXTUREDESIGNMAYLEADTOINFEASIBLEFIXTUREDESIGNSHUMANPROCESSPLANNERSGENERALLYRESOLVETHELOCATINGPROBLEMFIRSTTHEAPPROACHDEVELOPEDCANWORKINCONJUNCTIONWITHALOCATORDESIGNSTRATEGYHOWEVER,THEOVERALLLOCATORANDSUPPORTDESIGNAPPROACHISBEYONDTHESCOPEOFTHISPAPERCADMODELSOFTHEPARTDESIGNFORWHICHTHECLAMPDESIGNHASTOBEDEVELOPED,THETOLERANCESPECIFICATIONS,PROCESSSEQUENCE,LOCATORPOINTSANDDESIGN,AMONGOTHERFACTORS,ARETHEINPUTSTOTHECLAMPDESIGNAPPROACHTHEPURPOSEOFCLAMPINGISTOHOLDTHEPARTSAGAINSTLOCATORSANDSUPPORTSTHEGUIDINGTHEMEUSEDISTOTRYNOTTORESISTTHECUTTINGORMACHININGFORCESINVOLVEDDURINGAMACHININGOPERATIONRATHER,THECLAMPSSHOULDBEPOSITIONEDSUCHTHATTHECUTTINGFORCESAREINTHEDIRECTIONTHATWILLASSISTINHOLDINGTHEPARTSECURELYDURINGASPECIFICMACHININGOPERATIONBYDIRECTINGACLAMPINGDESIGNAPPROACH785THECUTTINGFORCESTOWARDSTHELOCATORS,THEPARTORWORKPIECEISFORCEDAGAINSTSOLID,FIXEDLOCATINGPOINTSANDSOCANNOTMOVEAWAYFROMTHELOCATORSTHECLAMPDESIGNAPPROACHDISCUSSEDHEREMUSTBEVIEWEDINTHECONTEXTOFTHEOVERALLFIXTUREDESIGNAPPROACHPRIORTOPERFORMINGLOCATOR/SUPPORTANDCLAMPDESIGN,APRELIMINARYPHASEINVOLVINGANALYSISANDIDENTIFICATIONOFFEATURES,ASSOCIATEDTOLERANCESANDOTHERSPECIFICATIONSISNECESSARYBASEDONTHEOUTCOMEOFTHISPRELIMINARYEVALUATIONANDDETERMINATION,THELOCATOR/SUPPORTDESIGNANDCLAMPDESIGNCANBECARRIEDOUTTHECLAMPDESIGNAPPROACHDESCRIBEDINTHISPAPERISDISCUSSEDBASEDONTHEASSUMPTIONTHATLOCATOR/SUPPORTDESIGNATTRIBUTESHAVEBEENDETERMINEDEARLIERTHISINCLUDESDETERMINATIONOFAPPROPRIATELOCATORANDSUPPORTFACESONAWORKPIECEASWELLASIDENTIFICATIONOFLOCATORANDSUPPORTFIXTURINGELEMENTSSUCHASVBLOCKS,BASEPLATES,LOCATINGPINS,ETC21INPUTSTOCLAMPDESIGNTHEINPUTSINCLUDETHEWINGEDEDGEMODELOFTHEGIVENPRODUCTDESIGN,THETOLERANCEINFORMATION,THEEXTRACTEDFEATURES,THEPROCESSSEQUENCEANDTHEMACHININGDIRECTIONSFOREACHOFTHEASSOCIATEDFEATURESINTHEGIVENPARTDESIGN,THELOCATIONFACESANDLOCATORDEVICES,ANDTHEMACHININGFORCESFORTHEVARIOUSPROCESSESREQUIREDTOPRODUCEEACHCORRESPONDINGFEATURE22CLAMPDESIGNSTRATEGYTHEMAINSTEPSINTHEAUTOMATIONOFTHECLAMPINGDESIGNTASKARESUMMARISEDINFIG1ANOVERVIEWOFTHESESTEPSISASFOLLOWSSTEP1CONSIDERTHESETUPSUIINTHESETUPCONFIGURATIONLISTALONGWITHTHEASSOCIATEDPROCESSH20841FEATUREENTRIESSTEP2IDENTIFYTHEDIRECTIONANDTYPEOFCLAMPINGTHEINPUTSREQUIREDARETHEMACHININGDIRECTIONVECTORSMDV1,MDV2,MDVNANDIDENTIFIEDNORMALVECTORSOFSUPPORTFACENVSIFTHEMACHININGDIRECTIONSAREDOWNWARDWHICHCORRESPONDTOTHEDIRECTIONVECTOR0,0,1,ANDTHENORMALVECTOROFTHESUPPORTFACEISPARALLELTOTHEMACHININGDIRECTION,THENTHEDIRECTIONOFCLAMPINGISPARALLELTOTHEDOWNWARDMACHININGDIRECTION0,0,1IFSIDEWAYSCLAMPINGISREQUIRED,ANDIFTHEREARENOFEASIBLEREGIONSATWHICHTOPOSITIONACLAMPFORDOWNWARDCLAMPING,THENASIDECLAMPDIRECTIONISOBTAINEDASFOLLOWSLETSVANDTVBETHENORMALVECTORSOFTHESECONDARYSVANDTERTIARYTVLOCATINGFACESTHEN,THEDIRECTIONOFCLAMPINGUSEDBYASIDECLAMPINGMECHANISMSUCHASAVBLOCKSHOULDBEPARALLELTOBOTHTHESENORMALVECTORS,IETHENORMALVECTORSOFTHEEACHOFTHEVSURFACESINTHEVBLOCKWILLBEPARALLELTOSVANDTV,RESPECTIVELYTHESIDECLAMPINGFACESHOULDBEAPAIROFFACESPARALLELTOTHEFACESSVANDTV,RESPECTIVELYSTEP3DETERMINETHEHIGHESTMACHININGFORCEFROMTHEMACHININGFORCESLISTFOREACHFEATUREMFII1,NTHISWILLBETHEEFFECTIVEFORCEFETHATMUSTBEBALANCEDWHILEDESIGNINGTHECLAMPFORTHISSETUPSUISTEP4USINGTHEVALUEOFTHECALCULATEDHIGHESTMACHININGFORCEFE,THEDIMENSIONSOFTHECLAMPTOBEUSEDTOHOLDTHEFIG1THECLAMPDESIGNACTIVITIESWORKPIECECANBEDETERMINEDFOREXAMPLE,ASTRAPCLAMPCANBEUSEDASACLAMPINGMECHANISMTHEAPPROACHFORTHISTASKISEXPLAINEDINSECTION3STEP5DETERMINETHECLAMPINGFACEONAGIVENWORKPIECETHISSTEPCANBEAUTOMATEDASDESCRIBEDINSECTION4STEP6THEACTUALPOSITIONOFTHECLAMPONTHECLAMPINGFACEISDETERMINEDINANAUTOMATEDMANNERASEXPLAINEDINSECTION5CONSIDERNEXTSETUPSUI1ANDPROCEEDTOSTEP13DETERMINATIONOFTHECLAMPSIZEINTHISWORK,THECLAMPSUSEDBELONGTOTHEFAMILYOFCLAMPSREFERREDTOASSTRAPCLAMPSASTRAPCLAMPISBASEDONTHESAMEPRINCIPLEASTHATOFTHELEVERSEEFIG2INTHISSECTION,THEAUTOMATEDDESIGNOFASTRAPCLAMPISDESCRIBEDTHECLAMPINGFORCEREQUIREDISRELATEDTOTHESIZEOFTHESCREWORATHREADEDDEVICETHATHOLDSTHECLAMPINPLACETHECLAMPINGFORCESHOULDBALANCETHEMACHININGFORCETOHOLDTHEWORKPIECEINPOSITIONLETTHECLAMPINGFORCEBEWANDTHESCREWDIAMETERBEDTHEDIMENSIONSOFTHEVARIOUSSCREWSIZESFORVARIOUSCLAMPINGFORCESCANBEDETERMINEDINTHEFOLLOWINGMANNERINITIALLY,THEULTIMATETENSILESTRENGTHUTSOFTHEMATERIALOFTHECLAMPDEPENDINGONAVAILABILITYCANBERETRIEVEDFROMADATALIBRARYVARIOUSMATERIALSHAVEDIFFERENTTENSILESTRENGTHSTHESELECTIONOFTHECLAMPMATERIALCANALSOBEPERFORMEDDIRECTLYUSINGHEURISTICRULESFOREXAMPLE,IFTHEPARTMATERIALISMILDSTEEL,THENTHECLAMPMATERIALCANBELOW786JCECILFIG2THESTRAPCLAMPCARBONSTEELORMACHINESTEELTODETERMINETHEDESIGNSTRESS,THEUTSVALUECANBEDIVIDEDBYASAFETYFACTORSUCHAS4OR5THEROOTAREAA1OFTHESCREWFORACLAMPSUCHASASCREWCLAMPCANTHENBEDETERMINEDCLAMPINGFORCEREQUIRED/DESIGNSTRESSDSSUBSEQUENTLY,THEFULLAREAFAOFTHEBOLTCROSSSECTIONCANBECOMPUTEDASEQUALTOA1/65SINCETHEROOTAREAOFTHESCREWWHERESHEARINGCANOCCURISAPPROXIMATELY65OFTHETOTALAREAOFTHEBOLTTHEDIAMETEROFTHESCREWDCANTHENBEDETERMINEDBYEQUATINGFATO314D2/4ANOTHEREQUATIONWHICHCANBEUSEDINVOLVESRELATINGTHEWIDTHB,HEIGHTHANDSPANLOFTHECLAMPTOTHESCREWDIAMETERDB,H,ANDLCANBECOMPUTEDFORVARIOUSVALUESOFDD24/3BH2/L4THEDETERMINATIONOFTHECLAMPINGFACETHEREQUIREDINPUTSTODETERMINETHECLAMPINGREGIONINCLUDETHECADMODELOFTHEPRODUCT,THEEXTRACTEDFEATURESINFORMATION,THEFEATUREDIMENSIONSANDFACESONWHICHTHEYOCCUR,THELOCATINGFACESANDLOCATORSSELECTEDCONSIDERAPOTENTIALCLAMPINGFACEPCFASSHOWNINFIG3THECRUCIALCRITERIONTOBESATISFIEDISTHATTHECLAMPINGSURFACESHOULDNOTOVERLAPORINTERSECTWITHTHEFEATURESONTHATFACE,ASSHOWNINFIG4THECLAMPINGSURFACEAREA,WHICHISINCONTACTWITHTHEWORKPIECESURFACEORPCFISA2DPROFILECONSISTINGOFLINESEGMENTSSEEFIG6BYUSINGLINESEGMENTINTERSECTIONTESTS,ITCANBEDETERMINEDWHETHERTHEPOTENTIALCLAMPINGAREAOFCONTACTOVERLAPSANYOFTHEFEATURESONTHEGIVENPCFTHEDETERMINATIONOFCLAMPINGFACESCANBEAUTOMATEDASFOLLOWSFIG3POTENTIALCLAMPINGFACEANDFEATUREPROFILESFIG4POTENTIALCLAMPINGFACEANDCLAMPBOXPROFILESTEP1IDENTIFYFACESTHATAREPARALLELTOTHESECONDARYANDTERTIARYLOCATORFACESLF1ANDLF2ANDATTHEFARTHESTDISTANCEFROMLF1ANDTCJ,RESPECTIVELYTHISISPERFORMEDASSHOWNBELOWAIDENTIFYFACESTCI,TCJSUCHTHATTCIISPARALLELTOLF1ANDTCJISPARALLELTOLF2BINSERTCANDIDATEFACESTCIINLISTTCFCBYEXAMININGALLFACESTCILISTEDINTCF,DETERMINEFACESTCIANDTCJTHATAREFARTHESTFROMFACELF1ANDLF2,RESPECTIVELY,ANDDISCARDALLOTHERFACESFROMLISTTCFSTEP2IDENTIFYTHEFACETHATISPARALLELTOTHELOCATIONFACESBUTNOTADJACENTTOTHEADDITIONALLOCATORFACESITISPREFERABLETOSELECTACLAMPFACETHATDOESNOTHAVETOSHARETHEADJACENTPERPENDICULARFACEWITHALOCATORTHISSTEPCANBEAUTOMATEDASSHOWNBELOWACONSIDEREACHFACETCIINLISTTCFANDOBTAINCORRESPONDINGFACESFCITHATAREADJACENTANDPERPENDICULARTOEACHTCITHEN,INSERTEACHFACEFCIINLISTFCFBEXAMINEEACHFCIANDPERFORMTHEFOLLOWINGTESTIFFCIISADJACENT,PERPENDICULARTOLF1ORLF2,THENDISCARDITFROMLISTFCFANDINSERTITINLISTNTCFSTEP3DETERMINETHECLAMPINGFACES,BASEDONTHEAVAILABILITYOFPOTENTIALCLAMPINGFACES,ASDESCRIBEDBELOWCASEAIFTHEREARENOENTRIESINLISTNTCF,THENUSETHEFACESINLISTTCFANDPROCEEDTOSTEP4IFANYFACESWEREFOUNDTHATWEREPERPENDICULARTOTHESECONDARYANDTERTIARYLOCATIONFACESLF1ANDLF2,SUCHFACESARETHENEXTFEASIBLECHOICESTOBEUSEDFORCLAMPINGINTHISCASE,THEONLYREMAININGCHOICEISTOREEXAMINETHEFACESINLISTNTCFCASEBIFTHENUMBEROFENTRIESINLISTNTCFIS1,THEFEASIBLECLAMPINGFACEISFCITHENORMALVECTOROFTHECORRESPONDINGADJACENT,PERPENDICULARFACETCIISTHEAXISOFCLAMPINGCASECIFNUMBEROFENTRIESINLISTNTCFISGREATERTHAN1,DETERMINETHEFACETCIWITHLARGERAREAANDPROCEEDTOSTEP4STEP4DEPENDINGONTHEDIRECTIONOFCLAMPINGWHICHISEITHEROR1,0,0OROR0,1,0,THECLAMPCANBEPOSITIONEDALONGTHECENTREOFTHEFACETCITHECANDIDATEGEOMETRICALPOSITIONSOFTHECLAMPCANBEDETERMINEDUSINGPARTGEOMETRYANDTOPOLOGICALINFORMATION,WHICHISDESCRIBEDINTHENEXTSECTIONACLAMPINGDESIGNAPPROACH787FIG5DETERMINATIONOFTHECLAMPPROFILEDIMENSIONS5DETERMINATIONOFTHECLAMPINGPOINTSONACLAMPINGFACEAFTERTHECLAMPFACEHASBEENDETERMINED,THEACTUALCLAMPINGPOSITIONSONTHATFACEMUSTBEDETERMINEDTHEINPUTSARETHECLAMPPROFILEDIMENSIONS,CLAMPDIRECTIONSX,Y,Z,ANDPOTENTIALCLAMPINGFACECFTHECLAMPPROFILEDIMENSIONSAREOBTAINEDASINCASEGUSINGCFGEOMETRYASFOLLOWSTHEFIRSTSTEPISTODETERMINEABOXSIZE,WHICHISTESTEDTODETERMINEWHETHERITCONTAINSANYFEATURESINSIDEITPROFILEINTERSECTIONTESTSCANALSOBEPERFORMEDUSINGTHEMETHODDESCRIBEDEARLIERIFTHEINTERSECTIONTESTRETURNSANEGATIVERESULT,THENNOFEATUREINTERSECTSWITHTHECLAMPBOXPROFILE,ASSHOWNINFIG4IFTHEINTERSECTIONTESTRETURNSAPOSITIVERESULT,THEFOLLOWINGSTEPSCANBEPERFORMED1DIVIDETHECLAMPBOXPROFILEINTOSMALLERRECTANGULARSTRIPSOFSIZE1WFIGS5AND62PERFORMTHEINTERSECTIONTESTSWITHTHEFEATUREPROFILESOFFEATURESTHATOCCURONTHEFACECFFORTHEGIVENPARTDESIGNFIG6PROFILESINTERSECTIONTESTOFFEATUREANDCLAMPREGIONS3THERECTANGULARSTRIPS,WHERENOFEATUREINTERSECTIONOCCURS,AREFEASIBLECLAMPINGREGIONSIFTHEREISMORETHANONECANDIDATERECTANGLEFORCLAMPING,THERECTANGLEPROFILETHATISTOWARDTHEMIDPOINTOFTHECFFACEALONGTHECLAMPINGAXISISTHECLAMPPROFILEANDCLAMPPOINTSIFNOPROFILEPICANBEFOUNDTHATDOESNOTINTERSECTWITHTHEFEATUREPROFILES,CLAMPWIDTHCANBEREDUCEDBYHALFANDTHENUMBEROFCLAMPSINCREASEDTOTWOONTHATFACEUSINGTHESEMODIFIEDCLAMPDIMENSIONS,PERFORMTHEFEATUREINTERSECTIONTESTDESCRIBEDEARLIERIFTHISTESTALSOFAILS,THENTHESIDEFACEADJACENTTOTHEPCFCANBEUSEDASTHECLAMPINGSURFACETOPERFORMSIDECLAMPINGTHESIDEFACETHENBECOMESTHEPCFANDTHEFEATUREINTERSECTIONTESTCANBEREPEATED51THEINTERSECTIONOFPROFILESTESTTHEREQUIREDINPUTSINCLUDETHE2DPROFILEP1ANOTHER2DPROFILEP2THEINTERSECTIONOFPROFILESCANBEDETERMINEDINANAUTOMATEDMANNERUSINGTHEFOLLOWINGAPPROACHEACHINPUTPROFILEPICONSISTSOFACLOSEDLOOPOFLINESEGMENTSLIJTHESTEPSINTHISPROFILETESTAREASFOLLOWST1CONSIDERALINESEGMENTLI,1INP1ANDANOTHERLINESEGMENTL2,JINP2T2FORINPUTSLI,1ANDL2,J,THEINTERSECTIONOFEDGESCANBEEMPLOYEDIFTHEEDGEINTERSECTIONTESTRETURNSAPOSITIVEVALUE,THENTHEFEATUREPROFILEINTERSECTSWITHTHECANDIDATEORPOTENTIALCLAMPPROFILEUNDEREVALUATIONIFITRETURNSANEGATIVEVALUE,PROCEEDTOSTEP3T3REPEATSTEPT1FORTHESAMESEGMENTOREDGELI,1INP1WITHALLREMAININGSEGMENTSL2,J1TILLJN1INP2T4REPEATSTEPST1ANDT2FORTHEREMAININGEDGESORSEGMENTSL12,L13,L1NINPROFILEP1IFTHEFEATUREPROFILESOVERLAPTHECLAMPINGPROFILES,THELINEINTERSECTIONTESTSWILLDETERMINETHATOCCURRENCETHEINTERSECTIONOFEDGESTESTCANBEPERFORMEDAUTOMATICALLYTODETECTWHETHERTWOEDGESINTERSECTWITHEACHOTHERTHEINPUTSREQUIREDFORTHISTESTARETHELINESEGMENTSL12CONNECTINGX1,Y1ANDX2,Y2ANDL34CONNECTINGX3,Y3ANDX4,Y4LETTHEEQUATIONOFL12BEREPRESENTEDBYFX,Y01ANDTHATOFL34BYHX,Y02STEP1USINGEQ1COMPUTER3FX3,Y3BYSUBSTITUTINGX3ANDY3FORXANDYANDCOMPUTER4FX4,Y4BYSUBSTITUTINGX4ANDY4FORXANDYSTEP2IFR3ISNOTEQUALTO0,R4ISNOTEQUALTO0,ANDTHESIGNSOFR3ANDR4ARETHESAME,WHICHINDICATER1ANDR2LIEONSAMESIDE,THENTHEEDGESL12ANDL34DONOTINTERSECTIFTHISISNOTSATISFIED,THENSTEP3ISPERFORMEDSTEP3USINGEQ2,COMPUTER1HX1,Y1THEN,COMPUTER2GX2,Y2ANDPROCEEDTOSTEP4STEP4IFR1ISNOTEQUALTOZERO,R2ISNOTEQUALTOZERO,ANDTHESIGNSOFBOTHR1ANDR2ARETHESAME,THENR1,R2LIEON788JCECILFIG7SAMPLEPARTTOILLUSTRATETHECLAMPINGDESIGNAPPROACHTHESAMESIDEANDTHEINPUTLINESEGMENTSDONOTINTERSECTELSE,IFTHISCONDITIONISNOTSATISFIED,PROCEEDTOSTEP5STEP5THEGIVENLINESEGMENTSDOINTERSECTTHISCOMPLETESTHETESTCONSIDERTHESAMESAMPLEPARTSHOWNINFIG7THEFEATURESTOBEPRODUCEDAREASTEPANDHOLEINITIALLY,THELOCATORDESIGNISCOMPLETEDTHESUPPORTLOCATORORPRIMARYLOCATORISABASEPLATEPLACEDAGAINSTFACEF4ANDTHESECONDARYANDTERTIARYLOCATORSAREPLACEDAGAINSTFACESF6ANDF5WHICHCORRESPONDTOTHELOCATORFACESLF1ANDLF2DISCUSSEDINSECTION4ANANCILLARYLOCATORISALSOUSED,WHICHISAVBLOCKPOSITIONEDAGAINSTTHEANCILLARYFACESF3ANDF5,SHOWNINFIG8BASEDONTHESTEPSOUTLINEDINTHECLAMPDESIGNFIG8FIXTUREDESIGNFORTHESAMPLEPARTINFIG7APPROACHDISCUSSEDEARLIER,THECANDIDATEFACESWHICHAREPARALLELANDATTHEFARTHESTDISTANCEFROMLF1ANDLF2AREFACEF3ANDF5THEREARENOFACESWHICHAREPARALLELTOTHELOCATORFACESBUTNOTADJACENTTOTHEMUSINGTHEPRIORITYRULESINSUCHCASESASDISCUSSEDINSTEP3OFSECTION4,THEREMAININGCANDIDATEFACEISFACEF2THECLAMPDIRECTIONISDOWNWARDTHEVBLOCKRADIALLOCATORANDOTHERLOCATORSPROVIDETHEREQUIREDLOCATIONWITHTHECLAMPHOLDINGTHEWORKPIECEDOWNWARDAGAINSTTHEBASEPLATETHEPOSITIONOFTHECLAMPISDETERMINEDBASEDONTHESTEPSDESCRIBEDINSECTION5ASTHEREARENOFEAURESOCCURRINGONFACEF2,THEREISNONEEDFORFEATUREINTERSECTIONTESTSTODETERMINECOLLISIONFREECLAMPINGTHEPOSITIONOFTHECLAMPSHOULDBEAWAYFROMTHEVLOCATORWHICHISPOSITIONEDALONGTHEANCILLARYLOCATIONFACESASTHECLAMPINGFACEISADJACENTTOTHEANCILLARYLOCATIONFACESTHISENSURESBETTERACCESSFORQUICKCLAMPINGTHEFINALLOCATIONANDCLAMPINGDESIGNISSHOWNINFIG8THEMETHODDISCUSSEDINTHISPAPERCOMPARESFAVOURABLYWITHTHEOTHERCLAMPDESIGNMETHODSDISCUSSEDINTHELITERATURETHEUNIQUENESSOFTHEDISCUSSEDAPPROACHISTHESYSTEMATICIDENTIFICATIONOFTHECLAMPINGFACESBASEDONPARTGEOMETRY,TOPOLOGY,ANDTHEOCCURRENCEOFFEATURESTOBEMACHINEDWHILEOTHERAPPROACHESHAVENOTEXPLOITEDTHEPOSITIONOFTHELOCATORSADEQUATELY,THEPROPOSEDMETHODUSESTHELOCATORSTOHOLDTHEWORKPIECEDURINGMACHININGAGAINSTTHEPRIMARY,SECONDARY,ANDTERTIARYLOCATORSANOTHERADVANTAGEOFTHISAPPROACHISTHEDETERMINATIONOFCANDIDATEFEASIBLELOCATIONSONCLAMPFACESUSINGTHEDETECTIONOFPROFILEINTERSECTIONSTESTDESCRIBEDEARLIER,WHICHQUICKLYANDEFFICIENTLYIDENTIFIESPOTENTIALDOWNSTREAMPROBLEMSWHICHMAYOCCURDURINGCLAMPINGANDMACHININGOFFEATURES6CONCLUSIONINTHISPAPER,THECLAMPINGDESIGNASPECTSINTHEOVERALLCONTEXTOFAFIXTUREDESIGNMETHODOLOGYWASDISCUSSEDTHELOCATORDESIGN,THEPARTDESIGNSPECIFICATIONS,ANDOTHERINPUTSARECONSIDEREDINIDENTIFYINGTHECLAMPINGFACESANDDIRECTIONSTHEVARIOUSSTEPSTOAUTOMATETHISAPPROACHAREALSODISCUSSEDREFERENCES1YCCHOU,VCHANDRUANDBBARASH,“AMATHEMATICALAPPROACHTOAUTOMATICCONFIGURATIONOFMACHININGFIXTURESANALYSISANDSYNTHESIS”,TRANSACTIONSASME,JOURNALOFENGINEERINGFORINDUSTRY,1114,PP299306,19892YKANG,YRONGANDMSUN,“CONSTRAINTBASEDMODULARFIXTUREASSEMBLYMODELLINGANDAUTOMATEDDESIGN”,PROCEEDINGSOFTHEASMEMANUFACTURINGSCIENCEANDENGINEERINGDIVISION,8,PP901908,19983MMANIANDWRDWILSON,“AUTOMATEDDESIGNOFWORKHOLDINGFIXTURESUSINGKINEMATICCONSTRAINTSYNTHESIS”,16THNAMRC,PP437444,19884BBIDANDAANDPHCOHEN,“DEVELOPMENTOFACOMPUTERAIDEDFIXTURESELECTIONSYSTEMFORCONCENTRICROTATIONALPARTS,”ADVANCESININTEGRATEDDESIGNANDMANUFACTURING,PROCEEDINGS1990ASMEWINTERANNUALMEETING,SANFRANCISCO,CA,VOL231,PP151162,1990ACLAMPINGDESIGNAPPROACH7895REDEVOR,VCHANDRASEKHARANANDSGKAPOOR,“MECHANISTICMODELTOPREDICTTHECUTTINGFORCESYSTEMFORARBITRARYDRILLPOINTGEOMETRY”,TRANSACTIONSASMEJOURNALOFMANUFACTURINGSCIENCEANDENGINEERING,120,PP563570,19986REDEVOR,SGKAPOORANDWJENDRES,“ADUALBASEDAPPROACHTOTHEPREDICTIONOFMACHININGFORCESFORMETALCUTTINGPROCESSESPARTII,MODELVALIDATIONANDINTERPRETATION”,TRANSACTIONSJOURNALOFENGINEERINGFORASMEINDUSTRY,117,PP534541,19957MVGANDHIANDBSTHOMPSON,“AUTOMATEDDESIGNOFMODULARFIXTURESFORFLEXIBLEMANUFACTURINGSYSTEMS”,JOURNALOFMANUFACTURINGSYSTEMS,54,PP243252,19878TSKOW,ASENTHILKUMARANDJYHFUH,“ANINTEGRATEDCOMPUTERAIDEDMODULARFIXTUREDESIGNSYSTEMFORINTERFERENCEFREEDESIGN”,PROCEEDINGSOFTHEASMEMANUFACTURINGSCIENCEANDENGINEERINGDIVISION,8,PP909916,19989YRONGANDSWU,“AUTOMATEDVERIFICATIONOFCLAMPINGSTABILITYINCOMPUTERAIDEDFIXTUREDESIGN”,COMPUTERSINENGINEERING,PROC