響應面法在單點增量成形質量控制多目標優化中的應用Title:ApplicationofResponseSurfaceMethodologyforSingle-pointIncrementalFormingQualityControlinMulti-objectiveOptimizationIntroduction:Single-pointincrementalforming(SPIF)isaflexibleandcost-effectivemanufacturingprocessusedfortheproductionofcomplex-shapedparts.However,thecontroloftheformedpart'squalityischallengingduetotheinvolvementofmultipleprocessparameters.Toovercomethischallenge,theapplicationofresponsesurfacemethodology(RSM)inSPIFqualitycontrolandmulti-objectiveoptimizationhasgainedsignificantattention.ThispaperaimstoexplorethevariousapplicationsofRSMinSPIFqualitycontrolandmulti-objectiveoptimizationanditsbenefitsinachievinghigher-qualitypartswithenhanceddesignandprocessparameters.1.OverviewofSingle-pointIncrementalForming:TheSPIFprocessinvolvestheuseofasingle-pointtooltoincrementallydeformasheetmetalintothedesiredshape.Theprocessparameters,includingtoolpath,feedrate,materialproperties,etc.,haveasignificantimpactontheformedpart'squality.Duetothecomplexnatureoftheprocess,controllingthequalitybecomeschallenging,necessitatingtheuseofadvancedoptimizationtechniques.2.ResponseSurfaceMethodology(RSM):RSMisawidelyusedstatisticaltechniqueformodelingandoptimizingprocessesbyestablishingafunctionalrelationshipbetweentheinputprocessvariablesandtheoutputresponses.Withthehelpofexperimentaldata,RSMconstructsaresponsesurface,whichrepresentstherelationshipbetweentheinputvariablesandoutputresponses.Thissurfacecanbeusedtopredicttheresponsevaluesforuntesteddatapointsandoptimizetheprocessparameters.3.ApplicationofRSMinSPIFQualityControl:a.ProcessParameterOptimization:RSMcanbeusedtooptimizetheprocessparametersbyminimizingdefectssuchasformerror,thicknessvariation,surfaceroughness,etc.Throughexperimentaldesign,therelationshipbetweenprocessparametersandqualitycharacteristicscanbeevaluated,andoptimalparametersettingscanbedeterminedtoachievedesiredqualitytargets.b.Real-timeQualityMonitoring:RSMcanbeusedtodeveloppredictivemodelstomonitorthequalityoftheformingprocessinreal-time.Byincorporatingsensorsanddataacquisitionsystems,theactualprocessresponsescanbecontinuouslymonitoredandcomparedwiththepredictedresponses.Anydeviationfromthepredictedvaluescanbemitigatedinreal-time,ensuringthedesiredqualitylevel.4.Multi-objectiveOptimizationinSPIF:SPIFinvolvesmultiplequalityobjectives,suchasformability,surfaceroughness,thinning,etc.Theseobjectivesoftenconflictwitheachother,makingitchallengingtoachieveanoptimaltrade-off.RSM,incombinationwithmulti-objectiveoptimizationalgorithmssuchasgeneticalgorithmsorparticleswarmoptimization,canbeusedtoachievethebestcompromisesolution.Bydevelopingaresponsesurfaceforeachobjectiveandconsideringtheconstraints,themulti-objectiveoptimizationproblemcanbesolvedefficiently.5.BenefitsofRSMinSPIFQualityControl:a.IncreasedProcessEfficiency:RSMenablesasystematicapproachtooptimizetheprocessparameters,resultinginreducedtrialanderroriterations.ThissavestimeandimprovestheefficiencyoftheSPIFprocess.b.EnhancedProductQuality:RSMprovidesinsightsintotherelationshipbetweenprocessparametersandqualitycharacteristics.ByoptimizingtheprocessparametersusingRSM,theformedparts'qualitycanbesignificantlyenhanced,resultinginimprovedproductperformance.c.ReducedScrapandRework:WiththehelpofRSM,defectscanbedetectedandmitigatedinreal-time,minimizingthescrapandreworkrequiredduringtheSPIFprocess.Thisleadstocostsavingsandimprovedproductivity.d.FacilitatesDecision-making:RSMprovidesavisualrepresentationoftheprocess-outputrelationship,helpingdecision-makersunderstandtheimpactofdifferentprocessparametersonproductquality.Thiscanaidinmakinginformeddecisionsregardingprocessimprovementandoptimization.Conclusion:Theapplicationofresponsesurfacemethodologyinsingle-pointincrementalformingqualitycontrolandmulti-objectiveoptimizationofferssignificantbenefitsintermsofimprovedproductquality,increasedprocessefficiency,andreducedscrap.TheuseofRSMenablestheidentificationofoptimalprocessparametersettingstoachievethed