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2andJ.Uusima¨
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Typically,back-uprollsinhotstripmillsareequippedwithslidingbearingsanditiscommontouseakeythatpreventsrelativemotionbetweentheconicalsleeveandtherollshaft.Thekeygroovecausesdeformationofthesleeveunderload.Thissleeve‘spring’isobservedasrollingforcevariation,whichcausessystematicthicknessvariationofthesteelstrip.Althoughthereisakeylessbearingconstructiononthemarket,analternativesolutionwasstudied.Anon-circularcamlikegeometrythatcompensatesthesleevespringwasgroundontheback-uprollsbyathree-dimensionalgrindingmethod.Asaresult,,50%oftherollingforceandthethicknessvariations,whichweresynchronisedwiththeback-uprollsofthemillstandstudiedinthepresentpaper,werereduced.
Keywords:
Non-circulargrinding,Rollingmill,Back-uproll,Rollingforcevariation,Steelstripthicknessvariation,Rolleccentricity。
Introduction
Background
Atpresentsteelmillsoperateinaglobalmarketinwhichincreasedcompetitionfromdevelopingcountrieshascreatedanewsituation.Thiscompetitionhasforcedtheexistingmillstofocusonproducingsteelofanimprovedandmoreevenqualityatahigherspeed.Thetolerancesofsteelstripprofileshavebecometighter.Atthesametime,theincreasedrunningspeedbringsoutpossiblevibrationproblemsintherollingprocess,especiallyinacoldstripsteelmill.Ifthethicknessvariationofthehotrolledsteelstripcanbereduced,itwillbepossibletoincreasetheproductionspeedofthecoldstripmill.Newhardersteelalloysrequireincreasedrollingforce,thusmakingtheprocessmoresensitivetorollingforcevariations.Theseclaimssetnewdemandsontheacceptablerollingforceandsteelstripthicknessvariationlevelsinthemillingrollstands.
Thesteelmillsbuiltinthe1960sand1970sandevenlaterarelookingforcosteffectivemeanstomeetthenewdemands.Thepresentstudydiscussesamethodofimprovingthequalityoftheendproductwithouttheneedformajorinvestments.
Researchproblem
Thethicknessvariationoftherolledsteelstripismainlycausedbytheforcevariationduringtherollingprocess.Othercausesofthevariationsshouldalsobevisibleintherollingforcemeasurementssuchastemperaturedifferencesandsteelqualitychanges.Inthepresentstudy,theauthorstrytounderstandthephenomenabehindtherollingforcevariationsseenintherollingforcemeasurementsandtodevelopmethodstoreducetheforceandthicknessvariations.
AmeasurementoftherollingforceduringtherollingprocessofasteelstripofamillstandisshowninFig.1a.Theleveloftherollingforcevariesduringtherollingprocess.Inthebeginningthelevelchangesarequitelarge.Theactivecontrolsystemoftherollingforcereducesthelevelchangesafterashortperiod(hereafter,20s).Inaddition,asmentionedbefore,changesoftemperatureorsteelqualitycancausevariationtotherollingforcelevel.
OthervariationsseeninFig.1bandespeciallyinFig.1ccanbesynchronisedtotherotationalspeedsoftheback-uprollsinthemillstand.Thismeansthattheyareprobablycausedbytheeccentricityoftherolls.Acloserlookatthestructureofthestudiedmillstandcan
provideananswertotheobservedphenomenon.Typicallyarollingmillconsistsof1–7rollingstands.Thereareusuallytwo,threeormorerollsineachstand.Inthestudiedhotstripsteelmill,allsixstandsconsistoftwoworkingrollsandtwoback-uprolls.Theworkingrolls,throughwhichthestrippasses,arerelativelysmallindiameterandhaveback-uprollsofalargerdiameteraboveandbelowtoreducethemillspring.Amillstandwithtwoback-uprollsisshowninFig.2.
Inthemillstandunderstudy,theback-uprollshaveakeytypeslidingbearingconstruction,asseeninFig.3.Itisknownthatakeytypeslidingbearingconstructionofback-uprollscausesaperiodicrapiddropinthe
rollingforce.1Thekeygrooveisalwaysmadewithaclearanceintheradialdirection.Theclearanceguaranteesthatthereisnoradialforcefromthekeythatwoulddeformthesleevegeometry.Thekeygrooveclearanceisthemaincauseoftherapidforcedropobservedonceper
rollrevolution(referredtoasrinFig.1c).Thisphenomenoncanclearlybeseeninthesamefigureoftherollingforcemeasurement.
1Rollingforcevariationconsistsofchangesofarolling
forcelevel,brollingforcefluctuationandcdropof
rollingforceonceinback-uprollrevolution
2Rollingmillstandunitdesign
Thefluctuationoftherollingforce(referredtoastinFig.1b)iscausedbytheslowchangeoftherelativekeygroovepositionsinthebottomandtopback-uprolls(Fig.4).Thechangeofthepositionsiscausedbydifferentrollingspeedsoftherolls.Therollingspeedsarerelativetothediametersoftherollscomparablewithdifferentsizedgearwheelsinagearbox.Inthecaseofthismillstand,thediametersoftheworkingrollshavenoeffectontherotationalspeedoftheback-uprolls,becausethesurfacespeedoftherollsisdependantonlyonthespeedofthestrip.Thusthefrequencyofthefluctuationcanbecalculatedfromtherelationofthediametersofthebackuprollsandtherollingspeed.Boththerapiddropoftherollingforceandtherollingforcefluctuationcausethicknessvariationtothesteelstrip.
Akeylessbearingconstructionreducestherun-outofrollsascomparedwithakeytypearrangement.Sincethemajorityoftheworld’ssteelworksbuiltinthe1960sand1970scontinuetouseakeytypeconstruction,
solvingtheproblemwouldhaveamajoreconomicsignificance.Keytypebearingsarealsostillusedinnewcosteffectivemillstands.Differentsystemsutilizingactivecontrolofhydrauliccylinderstocompensatefor
therolleccentricityhavebeenintroducedby,forexample,Ginzburg1andKugietal.2Thedynamicsoftheseactivecontrolsystemsisnotenoughtocompensatefortherollingforcevariationcausedbythekeygroove.
Aimandscopeofresearch
Theaimofthisresearchwastoreducetheperiodicrollingforcevariationcausedbytheeccentricityoftheback-uprollsandtostudyhowthisaffectsthethicknessvariationsofthesteelstrip.Itisassumedthatthemagnitudeofthethicknessvariationshoulddecreasetogetherwiththerollingforcevariation.Theexactrelationbetweentherollingforceandthicknessvariationwasnotknown.Inthepresentworkthespecialcaseoftheeccentricitycausedbythesleevespringofakey
typebearinghasbeenstudied.
Theempiricalresearchtookplaceatahotstripmill.Thethree-dimensional(3D)grindingwasappliedtotheback-uprollsatthelast(sixth)millstand.Therollingforceandthesteelstripthicknessvariationscausedbythekeygroovewereexamined.Non-systematicerror
sources,resonancevibrationsandchangestothestriptemperature,forexample,wereexcludedfromthepresentstudy.Inaddition,systematicrun-outerrorssuchasnon-circularityoftheneckornon-circularityof
thebearingbushwerenotexamined.Three-dimensionalgrindingwasappliedtotheback-uprollsofthemillstandstudied.
Researchmethods
Basedonpreviousresearch,non-circularroundnessprofiles,30mm(topback-uproll)and50mm(bottomback-uproll)inheight,weregroundontheback-uprollsinordertocompensatefortherapiddropintherolling
force.3.
Triggeringsensorswereinstalledontheback-uprollchockstoindicatethekeygroove.Therollingforceandthestripthicknessweremeasuredusingbothconventionaland3Dgroundback-uprolls.Theanalysiswascarriedoutbyusingsynchronoustimeaveraging.Measuringdata,whichconsistedofseveralstrips,weredividedintoperiodsthatrepresentonerevolutionofback-uproll.Equivalentmeasuringpointswerecombinedwithaveraging.Finally,allthesteelstripswerecombinedagainwithaveraging.Thismethodiscalledsynchronisedtimeaveraging.4
Theresultgraphsofthicknessvariationsarealsofilteredwithafastfouriertransform(FFT).5,6TheeffectoftheFFTfilteringisshowninFig.5.Thefirst16termsintheFourierdomain,representingthefirst16multiplesofrotationalfrequency,alsocalledharmonics,areusedinthefilteredresultcurve,asintherealresultsofthepresentstudy.
The3Dgrindingmethodintroducedinthepresentstudyisamethodtogrinddifferentpredefinedgeometriestocylinders,e.g.back-uprolls.Thismethodismainlyusedforcompensatingmeasurablesystematicgeometryerrors,i.e.run-out,roundnesserrorsanddiametervariationofaroll.Thetoolpathtoobtainthedesiredgeometrycanbebasedonmeasurements,onmathematicalanalysesoronacombinationofthese,asinthepresentstudy.
3akeytypebearingassemblywith1roll,2key,3conicalsleeve,4bearingbushingand5bearinghousingandbconicalsleevewithkeygroove
4Rollingforcefluctuationdependsonrelativepositionsofkeygrooves:
estimatedtwo-dimensional(2D)loaddistributionofback-uprollisshownonrightside
5ThicknesscurveunfilteredandfilteredwithFFT
Methodsandmaterials
Measuringsystems
TherollingforceofthemillstandwasmeasuredfromthedriveandoperatorsidesofthemillbyMillmatePFV100pressductor,theresolutionofwhichis24?
4kN(12bitADconverter,measuringrangefrom250000toz50000kN).7Severalmeasurementcycleswereaveraged.Thenoiseofthemeasuringdevicetogetherwiththeaveragingenhancestheresolutionofthemeasurement.8Theresolutionoftheaveragedforceva