建模与优化为20H的冷连轧外文文献翻译中英文翻译外文翻译.docx
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建模与优化为20H的冷连轧外文文献翻译中英文翻译外文翻译.docx
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建模与优化为20H的冷连轧外文文献翻译中英文翻译外文翻译
附录-外文翻译
Modelingandoptimizationfora20-hcoldrollingmill
QUALITYanditsreproducibilityaredominantcriteriaforcoldrolledproducts.Inparticular,highstripsurfacequalitycanbeachievedwithspecialmillarrangementssuchasthe20-hmill.Thistypeofmillusessmallworkrollsincontactwiththestrip,thatarekeptinplacewithavarietyofintermediateandbackuprolls.Theuseofdifferentactuatorswhich,inpart,onlyactindirectlytoaffecttherollbitegeometry,makesthepresettingofthemillwithregardtostripthicknessandflatnessacomplextask.
Thisarticledescribesamodeltheobjectiveofwhichisoptimizingtheentirerollingprocessina20-hmill.Resultsobtainedfromseveralon-lineapplicationsarediscussed.
Aclosedsendzimirmillarrangement,showninFig.1,illustratesthemainactuatorsthataffectrollbitegeometrywithregardtostripthicknessandglatness.Sideeccentricslocatedatthebackuprollsareusedtoadjusttheoverallpositionofthecorrespondingrollaxisoverawiderangewhich,indirectly,adjuststherollgapgeometrywithregardtothemillpasslineandstripthickness.Sideeccentricsmaybemechanicallyorelectricallycoupled.Crowneccentricsareavailableatseverallocationsoverthebarrellength.Those,typicallyonupperbackuprolls,arecapableofprovidingspecialrollgapcontours.Theymatchthegaptotheprofileofthestripenteringthemill.Crowneccentricsarethemajoractuatorsforachievingstripflatness.Shiftable,firstintermediaterollsarealsoshapeactuators;theymainlyserveformodificationsinthestripedgeareausingataperedrollprofile.
Measurementofmillgeometryisavailableonlyindirectlythroughtherotationofthesideandcrowneccentricsandthroughthepositionofthefirstintermediaterolls.
Considerationofmillspringandelasticdeformationeffectsinthestackleadstotherollgapgeometry.Accountingformillspringandelasticdeformationrequiresknowledgeoftherollseparatingforcewhich,inaclosed20-hmill,ismeasuredindirectlythroughtheadjustmentpressureneededforthemainsideeccentrics.Apartfromhysteresiseffects,theeffectsofthevariablegeometrymakethisindirectmeasurementcritical.
Besidesrollgapgeometry,thetaskofpresettingthemillalsoincludesthedesignofpassschedulestailoredtomeetrequirementsofaproductandthecurrentmillcondition.Whileoptimalutilizationofthemillisamajorobjective,thepassschedulemustachievetherequiredproducequality.Generationofpassschedulestocoverthestatisticalaverageandstoringthemindatabasesrelatedtosteelgrade,surfaceandcoilgeometryisstateofthearttechnology,Inparticular,millparameterssuchasrollgeometryorthethermalconditionoftheworkrollsrequiredynamiccorrectionofthepassschedulestoobtainareproduciblefinalproduct.Thesameappliestovariationsinthematerialcharacteristicsofthecoilsrolled.
Becauseofthecomplexityof20-hmills,achievingreproducibilityofthefinalproductqualityandtheoptimumuseofavailablemillresourcestoincreaseproductivityrepresentsanextremelydifficulttask.Thistaskcanbeaccomplishedwithacomprehensivemodelapproachthattakesallrelevantmillandprocessparametersintoaccount.
Tooptimizetheporcess,variousmathematicalmodelsareneededtodescribetheelasticstandbehaviorandtheelastic/plasticcharacteristicsofthematerialtotherolledbecauseneitherdirectgeometricalinformationnoraccuraterollforcemeasurementsexist.
1、Force,torqueandpower
Therollforce,rolltorqueanddrivepowernecessarytoformthematerialaresomeofthemostimportantitemsofprocessinformation.Whilepowerrequirementsaffectthedesignofapassscheduleforoptimaluseoftheavailablemillresources,rollforceismandatoryforpresettingthegeometricalactuators.Bothforceandtorque,ontheotherhand,needtobeknownformillpresettingsothatmechanicalorpracticallimitsarenotexceeded.
Theapproachselectedtodescribetheeffectsintherollgapwithregardtopower,torqueandforce,isbasedonastripfibermodelusingthebasictheorydevelopedbyKarmanandSiebel.Therollgapmodelprovidesbothverticalandtangentialstresscomponentsactingontheworkroll.Therollseparatingforceresultsfromtheintegrationoftheverticalpressurecomponents.Torqueanddrivepowerarederivedfromthetangentialstress.
Therollgapmodelsimultaneouslyprovidesaccurateinformationabouttheverticalandtangentialstresscomponentsactingontherolland,thus,thedrivepowerandrollforce.
Theabilitytoevaluatetherollingprocess,basedonaccuratecalculationoftherollseparatingforceandmaindrivepower,enhances,inparticular,thematerialyieldstressevaluation.Thisisbeneficialsincetherollforcemeasurementisaffected,toalargeextent,bymeasurementhysteresispresentinaclosed20-hmill.
2、Materialyieldstressadaption
Materialyieldstressadaptionisrequiredinanycasewherethereistheneedtorollawiderangeofsteelgrades.Also,thedemandforself-learningmodelalgorithmsforcestheuseofadaptivemethodswithregardtotheyieldstress.
Theyieldstressofthematerialisinitiallyevaluatedinoff-linetestsusingtorsionbarsamples.Whileoff-linetestsprovidegoodinitialinformation,eachprocessandproducthasitsownpersonality.Thismayresultfromtheannealingpracticesorvariationsinthechemicalcompositionofthesteelgrades.
Theyieldstressadaptionisbrokendownintoashort-termadaptiontorapidlyadjusttheyieldstresscurve,andalong-termadaption,wherecomplexrelationshipsbetweenstrain,strainrateandtemperatureareevaluatedandrepresented.Statisticalyieldstressinformationisavailablebygradeandalsoonanindividualcoilbasisifneeded,whichimprovesqualityassurance.
3、Frictionrepresentation
Besidesobtainingarepresentationofthematerialyieldstress,itisalsomandatorytodescribethefrictionintherollgap.Inavarietyofapplications,thefrictioncoefficientisadjustedsothatduringlong-termanalysisthemostappropriatefrictioncoefficient;ie,,thecoefficientthatprovidesthebestmatchbetweencalculationandmeasurement,isapplied.
Anotherapproachistocarryoutrollingtestsandanalyzetheresults.Whilerollingtestsaffectproduction,theanalysismethodistime-consumingandmayoftenhavethedisadvantagethatnotallrelevantfactorsaffectingfrictionareadequatelyconsidered.Theapproachselectedinthecurrentstudyisbasedonanartificialneuralnetwork.
Theentrylayeroftheneuralnetworkreceivesallrelevantinformationasithasbeengatheredandmayaffectfriction.Thisinformationisprocessedthroughthemultilayerperceptronfeedforwardnetworkinanoff-lineinvestigationusingthebackpropagationmethodfortrainingthat,finally,leadstothefrictioncoefficient.Witharepresentativework,evenphysicalrelationshipsbetweenthefrictioncoefficientandprocessinformationcanbeevaluated.
Theresultsderivedfromtheneuralnetworkhavebeenusedasthebasisforananalyticalmodel,whichwasimplementedon-line.
Theaccuracyoftherepresentationhasbeenevaluatedinseveralon-linerollingtestsinindustrialfacilities.Sincemillspeedisoneofthemainvariablesaffectingfriction,onepasswasmadeduringthecommissioningphaseofthemodelwithdifferentmillspeeds.Boththemeasuredandcalculatedrollforcewererecorded.
Apartfromthefrictioncoefficient,boththetemperatureofthestripapproachingtherollbiteandthestrainvariedinthetest.
4、Elasticmillstandbehavior
Inadditiontorollforce,powerandtorque,theelasticbehaviorofthemillstandmustalsobedescribedtoallowpropagationfromthemeasuredeccentricadjustmentstotherollbitecontour,whichisthetargetforfurtheroptimizationsteps.
Onerequirementintheelasticmillstandmodelwasitsabilitytocoveravarietyofdifferentmillconfigurations,rollprofilesandrollmaterials.Thesevariableswerealsospecifiedwithrespecttoeachindividualrollinthestacktocoversituationswhereunusualrollcombinationsareselectedandtoallowthemodeltobeusedduringdesignphases.
Toprovidemaximumflexibility,thedescriptionoftheelasticmillstandbehaviorisbasedonanumericalsolutionapproachfortherollstack.Thedifferenteffects,suchasflatteningbetweentherolls,flatteningbetweenthestripandtheworkrolls,anddeflectionoftheseveralrolls,arederivedfrommultipleiterations.
Theelasticmillstandmodelforthe20-hcoldrollingmillcan,generally,bedividedintotwoparts.Theinitialphaseinvolvesarapiddeterminationoftheloadshareinthesecondphase.Theinitialloadsharederivedisthentaken,inthesecondphase,asbasisfortheiterativedeterminationoftheinteractionbetweenloaddistribution,flatteninganddeflection.
Thedeflectionofeachrollisderivedfromtheloaddistributiondeterminedineachiterationstep.Thegeometricaldifferencesbetweenneighboringrollsareinterpretedasflatteningoftherollsforwhichacertainloaddistributionmustbepresent.Thisleadstoanewloadalongthecontactareaofthevariousrolls.Thisnewloaddistributionleads,again,toanewdeflection.
Thetotaleffectofelasticdeformationbetweentherollsproducesanewloadatthesaddlesegmentsofthebackuprolls.Thus,themillspringappearstobedifferent,andanewiterationneedstobeperformed.Theiterationiscarriedoutuntilasolutionhasbeenreached,wheretheentireload,thedeflectionandflatteningmatch.
5、Summary
Theaccuracyofforcemeasurementinaclosedsendzimirmillisinadequateforhigh-precisionprocesscontrol.Tosolvethisproblem,specialmodelfordeterminationofrollfor
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