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1、附錄MachiningfixturelocatingclampingpositionoptimizationusinggeicalgithmsNecmettinKayaDepartmentofMechanicalEngineeringUludagUniversityGukleBursa16059TurkeyReceived8July2004accepted26May2005Availableonline6September2005Abs

2、tractDefmationofthewkpiecemaycausedimensionalproblemsinmachining.Supptslocatsareusedindertoreducetheerrcausedbyelasticdefmationofthewkpiece.Theoptimizationofsupptlocatclamplocationsisacriticalproblemtominimizethegeometri

3、cerrinwkpiecemachining.Inthispapertheapplicationofgeicalgithms(GAs)tothefixturelayoutoptimizationispresentedtohlefixturelayoutoptimizationproblem.Ageicalgithmbasedapproachisdevelopedtooptimisefixturelayoutthroughintegrat

4、ingafiniteelementcoderunninginbatchmodetocomputetheobjectivefunctionvaluesfeachgeneration.Casestudiesaregiventoillustratetheapplicationofproposedapproach.Chromosomelibraryapproachisusedtodecreasethetotalsolutiontime.Deve

5、lopedGAkeepstrackofpreviouslyanalyzeddesignstherefethenumbersoffunctionevaluationsaredecreasedabout93%.Theresultsofthisapproachshowthatthefixturelayoutoptimizationproblemsaremultimodalproblems.Optimizeddesignsdonothavean

6、yapparentsimilaritiesalthoughtheyprovideverysimilarperfmances.Keywds:FixturedesignGeicalgithmsOptimization1.IntroductionFixturesareusedtolocateconstrainawkpieceduringamachiningoperationminimizingwkpiecefixturetoolingdefl

7、ectionsduetoclampingcuttingfcesarecriticaltoensuringaccuracyofthemachiningoperation.Traditionallymachiningfixturesaredesignedmanufacturedthroughtrialerrwhichprovetobebothexpensivetimeconsumingtothemanufacturingprocess.To

8、ensureawkpieceismanufacturedaccdingtospecifieddimensionstolerancesitmustbeappropriatelylocatedclampedmakingitimperativetodeveloptoolsthatwilleliminatecostlytimeconsumingtrialerrdesigns.Properdefmationofthewkpiece.RoyLiao

9、[4]developedaheuristicmethodtoplanfthebestsupptingclampingpositions.Taoetal.[5]presentedageometricalreasoningmethodologyfdeterminingtheoptimalclampingpointsclampingsequencefarbitrarilyshapedwkpieces.LiaoHu[6]presentedasy

10、stemffixtureconfigurationanalysisbasedonadynamicmodelwhichanalysesthefixture–wkpiecesystemsubjecttotimevaryingmachiningloads.Theinfluenceofclampingplacementisalsoinvestigated.LiMelkote[7]presentedafixturelayoutclampingfc

11、eoptimalsynthesisapproachthataccountsfwkpiecedynamicsduringmachining.Acombinedfixturelayoutclampingfceoptimizationprocedurepresented.Theyusedthecontactelasticitymodelingmethodthataccountsftheinfluenceofwkpiecerigidbodydy

12、namicsduringmachining.Amaraletal.[8]usedANSYStoverifyfixturedesignintegrity.Theyemployed321method.TheoptimizationanalysisisperfmedinANSYS.Tanetal.[9]describedthemodelinganalysisverificationofoptimalfixturingconfiguration

13、sbythemethodsoffceclosureoptimizationfiniteelementmodeling.Mostoftheabovestudiesuselinearnonlinearprogrammingmethodswhichoftendonotgiveglobaloptimumsolution.Allofthefixturelayoutoptimizationproceduresstartwithaninitialfe

14、asiblelayout.Solutionsfromthesemethodsaredependingontheinitialfixturelayout.Theydonotconsiderthefixturelayoutoptimizationonoverallwkpiecedefmation.TheGAshasbeenproventobeusefultechniqueinsolvingoptimizationproblemsinengi

15、neering[10–12].Fixturedesignhasalargesolutionspacerequiresasearchtooltofindthebestdesign.FewresearchershaveusedtheGAsffixturedesignfixturelayoutproblems.Kumaretal.[13]haveappliedbothGAsneuralwksfdesigningafixture.Marceli

16、n[14]hasusedGAstotheoptimizationofsupptpositions.Vallapuzhaetal.[15]presentedGAbasedoptimizationmethodthatusesspatialcodinatestorepresentthelocationsoffixtureelements.Fixturelayoutoptimizationprocedurewasimplementedusing

17、MATLABthegeicalgithmtoolbox.HYPERMESHMSCNASTRANwereusedfFEmodel.Vallapuzhaetal.[16]presentedresultsofanextensiveinvestigationintotherelativeeffectivenessofvariousoptimizationmethods.TheyshowedthatcontinuousGAyieldedthebe

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