机械设计外文翻译英文原文1概要.docx
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机械设计外文翻译英文原文1概要.docx
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机械设计外文翻译英文原文1概要
Studyoncascadedwhole-leafspringoscillationmechanismformouldincontinuouscasting
L.-P.Zhang*1,X.-K.Li2,Y.-F.Yao2andL.-D.Yang3
Adesignmethodofacascadedwhole-leafspringmechanismisproposed,whichisanewoscillationguidancedeviceforthemouldincontinuouscasting.Thenitsprototypedesignedinthispaperisproducedinthelab,ofwhichkinematicsanddynamicssimulationsarecarriedoutbasedontherigid–flexiblecouplingvirtualmodel.Simulationcurvesofthedisplacementandvelocityofthemouldarealmostconsistentwiththeidealones,whichverifiesthemodelbuiltinthispaperisrational.Furthermore,naturalfrequenciesandmodeshapesofthemechanismarecalculatedbydynamicssimulation,andforcesappliedonleafspringsandrevolutejointsareanalysedandeffectsofthebasicparametersontheseforcesarealsostudied,whichestablishthebasisforfurtherstudiesandnextapplicationofthismechanism.
Keywords:
Continuouscasting,Mould,Cascadedwhole-leafspringoscillationmechanism,Designmethod,Dynamicsanalysis
Introduction
Theoscillationsystemforthemouldisthekeyequipmenttothemoderncontinuouscastingtechnol-ogy,ofwhichthetechnicalperformanceandreliabilitydirectlyaffectthequalityandproductionofcontinuouscastingslabs.Theoscillationsystemiscomposedoftheoscillationgeneratingdeviceandguidingmechanism,andthelatterisstudiedinthispaper.
Duringcontinuouscasting,theoscillationguidingmechanismplaysaguidanceroleinthemotionofthemould.Onlywhenthemouldvibratesalongthecorrecttrack,thequalityofthestrandcanbeensured.Sothestrandrequiresveryhighguidanceaccuracyoftheoscillationguidingmechanismforthemould.Butforinevitablegapandwearofthebearings,thefour-eccentricaxesandfour-barlinkageoscillationmechanismswidelyusedinmoderncastingwillcauseuncontrolleddeviationinmotionsofthemould,whichbadlyaffectsthequalityofthestrand.1Therefore,thesemi-andwhole-leafspringmechanismsaregraduallyusedasguidancemechanismsforthemouldinbilletandslabcontinuouscasting.2,3Inrecentyears,withfurtherdevelopmentofthesemi-andwhole-leafspringoscilla-tionmechanisms,thecascadedwhole-leafspringoscilla-tionmechanismisdevelopedabroad,4whichhasalongerlife,higherlateralrigidityandreliabilityandsoon.
However,untilnow,reportsonthisoscillationmechanismarefew.5,6Itsworkingprinciplehasbeenproposedbytheauthors,7basedonwhichdesignmethodofthecascadedwhole-leafspringoscillationmechanismisproposedinthispaperanditsexperi-mentalprototypeismanufactured.Furthermore,therigid–flexiblecouplingvirtualmodelofthecascadedwhole-leafspringoscillationmechanismisbuiltanditskinematicsanddynamicssimulationsareanalysedusingmanytypesofsoftware,suchasANSYS.Systemmodesandtheforcesappliedonleafspringsandrevolutejointsofthemechanismareanalysed,whichestablishthebasisforfurtherstudiesandapplicationofthismechanism.
Workingprincipleofcascadedwhole-leafspringguidancemechanism
Thestructureofthecascadedwhole-leafspringoscilla-tionmechanismisshowninFig.1.Itmainlyconsistsofthecascadedleafspring,vibrationtableandframe,whichcanbedrivenbymachinery(Fig.1a,orhydraulicsservo(Fig.1b,generatingdeviceofsinusoi-dalornon-sinusoidaloscillation.Andthecascadedleafspringiscomposedoffoursteelplatespringsdividedintotwosets.Allleafsprings’extensionlinesjointothecirculararccentreofthecontinuouscasterandtheirendsareseparatelyconnectedtothevibrationtableandtheframe,asshowninFig.2,andthentwosetsofleafsprings,thevibrationtableandtheframeformtwofour-barlinkageguidancedevices.Duringthemouldvibrat-ing,flexibleleafspringsproduceelasticdeformations,whichmaketwoleafspringfour-barlinkageguidancedevicesalternatelyplayaguidanceroleinthemouldwithoutanyinterferencebythegeneratingdevice.7
1TheMechatronicsandInformationEngineeringSchool,FoshanUniversity,Foshan528000,China
2CollegeofMechanicalEngineering,YanshanUniversity,Qinhuangdao066004,China
3No.2ResearchDevelopmentDepartment,Xi’anHeavyMachineryResearchInstitute,Xi’an710032,China
*Correspondingauthor,emailzhanglpok@
204ß2010InstituteofMaterials,MineralsandMining
PublishedbyManeyonbehalfoftheInstitute
Received14November2008;accepted16September2009
DOI10.1179/030192309X12573371383677IronmakingandSteelmaking2010VOL37NO3
Designofcascadedwhole-leafspringoscillationmechanism
Fromworkingprincipleofthecascadedwhole-leafspringoscillationmechanism,itcanbeseenthattwoleafspringfour-barlinkagescarryontheguidancetothemould.Ifdesignisunreasonable,themotionofthetwoleafspringfour-barlinkageswillinterfereduringvibration,whichwillblockthemould.Therefore,howtodesignthesetwoleafspringfour-barlinkagesbecomesthekeyproblem.
Designmethodofcascadedwhole-leafspringoscillationmechanism
Accordingtothecharactersofthecascadedwhole-leafspringmechanismdevelopedfromtheshort-armfour-barlinkage,itsdesignmethodisproposedasfollowing:
(ibasedonthedesignprinciplesoftheshort-arm
four-barlinkagesimulatingarc,8designtworigidfour-barlinkagesunderthesamebasicpara-metersofthemouldbyoptimumdesign,whichfulfiltherequirementforguidingaccuracyofthemouldsimulatingarc
(iiforsettlinginterferenceofthetwofour-bar
linkages,rigidlinkagesoptimisedinstep(iaresubstitutedbysteelplatespringswithelasticdeformationandthenformtwoleafspringfour-barlinkages
(iiibasedonthebasicprinciplesoftheshort-arm
four-barlinkage,arrangetwoleafspringfour-barlinkagesaccordingtoFig.2.Thatis,end-pointsA1,C1andA2,C2arefixedontheframe;endpointsB1,D1andB2,D2areconnectedtothevibrationtableofthemould.Inthisway,twoleafspringfour-barlinkagesarecascaded,soacascadedwhole-leafspringmechanismisdesigned.
Calculationexample
Calculationsofparametersandguidanceaccuracyofrigidfour-barlinkages
Accordingtothegeometryrelationsandthemovementrelationshipsofthefour-barlinkageguidancedevicesofthearccaster(seeFig.2,thepositionofanypointonthemouldcanbecalculatedduringthemouldvibration.Inthispaper,takenthebottompointEontheouterarcofthemouldasanexample,formulasofthetrackandtheguidingaccuracyofpointEarededuced,aslistedinTable1,withonlyonerigidfour-barlinkageguidingforthemould.
Tocalculateconveniently,itisassumedthatl1,l2,l3andl4arerespectivelythelengthsoflinkagesofA1C1,A1B1,B1D1andC1D1,andA2C2,A2B2,B2D2andC2D2;Sistheamplitudeofthemould;DQistheswingangleofthelinkageofB1D1andB2D2underthemaxdisplace-mentofthemoulddownward;Risthecaster’sbasicradius;R1andR2areradiusrespectivelyfromthearccentretotwoendpointsoflinkagesA1C1,B1D1,A2C2andB2D2;H1andH2aretheheightsofbothsidestothehorizontalcenterlineofthemould;aistheincludedanglebetweenOEandthehorizontalcentrelineofthearccasterwhenthemouldisatequilibriumposition;h1,h2,r1andr2arerespectivelytheincludedanglesbetweenlinkagesofA1C1,A2C2,B1D1,B2D2andthehorizontalcentrelineofthecaster;DREisthesimulatedarcerrorofthemould.
Mathematicalmodelandoptimisationoflinkages
Oscillationparametersofthemouldandtheinstallationpositionsoflinkagesaretheprimarydesigningtermsoftheguidancemechanism.Takingarccasterforexample,outsidepenaltyfunctionoptimisationmethodisadoptedinoptimumdesignofthetworigidfour-barlinkages.Infour-barlinkagesdesign,itisthegoalthatthetrajectoryerrorofthemouldmeetstherequirementforguidingaccuracy.Sotheobjectivefunctionoftheoptimisationmathematicalmodelcanbewrittenbyf(x~DRE~OE’{R¡0:
02
(1
AccordingtoTable1,itcanbeseenthatthedesignoptimisationvariablesarex~R,S,h,r,R1,R2½T
(2
Byexperience,geometricdimensionsandinstallationpositionsoftwofour-barlinkagesmustmeetthefollowing
constraints
2Layoutofcascadedwhole-leaf
spring
amechanicdriven;
bhydraulicsservodriven
1Cascadedwhole-leafspringoscillationmechanism
Zhangetal.Cascadedwhole-leafspringoscillationmechanismformouldincontinuouscasting
IronmakingandSteelmaking2010
VOL
37
NO
3205
30D¡R¡50D2¡Sjj¡10R1w0,hw0R2wR1,rwh0:
91R¡R2vR0:
82R¡R1¡0:
91R
(3
whereDisthethicknessofbillet;handrareincludedanglesbetweenlinkagesandhorizontalcentrelineofthecaster.Basedontheobjectivefunction(equation(1,optimisationvariables(equation(2andconstraintsestablishedinequation(3,optimisationprocedureofoutsidepenaltyfunctioniscompiledbyClanguageandtwofour-barlinkagesareseparatelyoptimumdesigned.
Optimisationresults
Inoptimisation,itisassumedthatthemouldisarrangedsymmetricallyaboutitsequilibriumpositionanditsheightH1zH25900mm;thethicknessofthebilletD5150mm;theguidingaccuraciesoftworigidfour-barlinkagesDRE50?
02mm.Therefore,thegeometricalparametersandtheguidingaccuraciesofthetworigidfour-barlinkagesareoptimumdesigned(Table2.Bytheoptimisedresults,rigidlinkagesaresubstitutedbyleafspringsarrangedaccordingtoFig.2;thenacascadedwhole-leafspringmechanismisdesigned.
Experimentalprototypeofcascadedwhole-leafspringoscillationmechanism
Basedontheoptimisedresults,theexperimentalproto-typeofthecascadedwhole-leafspringoscillationmechan-ismforthemouldismanufactured,asshowninFig.3,inwhichleafspringfour-barlinkageA1C1B1D1iscomposedofleafsprings1
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