橫濱的新輪胎設(shè)計方法學(xué)

橫濱的新輪胎設(shè)計方法學(xué)第1頁/共30頁Contents目錄1.Introduction

簡介2.RadialTireConstruction,Function&Characteristics特征3.FRR(CharacteristicsofCord&Rubber)4.IntroductionofSafety-Factorsforrubberproducts5.SimulationApproachtoDurabilityofRubberProduct6.NumericalExample:TruckandBusTire7.Conclusions第2頁/共30頁IntroductionPurposeofThisPaper:Proposalforthenewdesignmethodconsideringactualconditionofrubberproducts,forexampleatire35℃Pressure(kPa)TimeTimeTemperature(℃)InternalAirTemperatureAirPressure100kPa<TIRESIZE>12R22.5第3頁/共30頁RadialTireConstructionBeadCoreTreadRubberSidewallRubberBeltLayerCarcassLayer第4頁/共30頁Basicfunctionrequiredofatire1)Load-carryingcapacity2)Transmissionofdrivingandbreakingtorque3)Cushioningability4)Road-holdingabilityOtherrequirementAndalsoInformationcenterofavehicle

RubberCordFRRBiaslaminateBiasplyCharacteristicsofTire第5頁/共30頁Ωσrubberεεσcordlargedeformation&largestrainincompressibilitymaterialnonlinearitycompositestructureviscoelasitcityrollingcontactCharacteristicsofTire

第6頁/共30頁RubbermodelintirepartHeterogeneous異型

structuremodelforcarbonblackfiledrubber

Quasi-glassystate(Cphase)Liquidstate(Aphase)Crosslinkedrubbermolecules(Bphase)CarbonblackInteractionbetween

Cphases第7頁/共30頁ReinforcemantofElastomers:(editedbyGerardKraus,IntersciencePublishers,N.Y.,1965)Section6:MicroscopyintheStudyofElastomerReinforcementbyPigmentFillers(byWilliamM.Hess)

RubberintirepartbyMicroscopyHeterogeneousstructureforcarbonblackfiledrubber

第8頁/共30頁Mechanicalpropertiesofcord&rubber

Fromtheabovetable

Modulusofcord?ModulusofrubberBreakingstrainofcord?Breakingstrainofrubber

第9頁/共30頁IntroductionofSafety-FactorsforrubberproductsFRR(cord);rubberpart;

Thedurabilityofrubberisevaluatedbyprincipalstrain（beltlayer,carcasslayer）ThedurabilityofFRRisevaluatedbystress(Marginofsafety)(Safety-Factor)第10頁/共30頁Tireconditionunderoperation: Tireprofilegrowth&rubberagingduetoheatbuild-up2.Itisnecessarytotaketireprofilegrowth&rubberaging intoconsideration.

Thenewdesigntechnologyconsideringactualcondition,for

example,Tire

SimulationApproachtoRubberProduct(1)NEWGROWNSTRESS(Mpa)STRAIN(%)EbS-SCurveMILEAGE(km)O.D.GROWTH(mm)NEWGROWNTheGrowthofOverallDiameterGrowthoftire：DoubleInflationPressureMethod

第11頁/共30頁3.IntroductionoftheSafetyFactorconceptTimeOLDNEWDangerouszone20SafetyFactorMarginofSafety=Eb/ε(max)Eb=Breakingstrainofrubberε(max)=Maximumvalueofprincipalstrainintireparts4.Example:Tiresize11R22.5Effectoftireprofileondurability

bySimulationApproachof

FEMSimulationApproachtoRubberProduct(2)Safetyzone10第12頁/共30頁DoubleInflationPressureMethod

<NEWTIRE>Estimation：PrincipalstrainofbeltedgefillerDeflectedDeflectedInflatedNewmodelRemodel<GROWNTIRE>InflatedDoubleInflationPressure第13頁/共30頁Tiresize：11R22.5<Testcondition>Roomtemperature：30℃Load：21.4kNA.P.：700kPa100km/h×8h+60km/h×24h1set=29,120km×6set=174,720km(withshavingtreadrubber)WhathappenstoTBtiresduetohighheatandpressure?Profileischanged.!!第14頁/共30頁NEWGROWN1SET29,120km3SET87,360km5SET145,600km2SET58,240km4SET116,480km6SET174,720kmGrowthofOverallDiameter!WhathappenstoTBtiresduetohighheatandpressure?第15頁/共30頁O.D.growthbeginsinearlystagesoftirelife.Afterthat,itstabilizes.Thegrowthoftireunderoperation

TBtireshavefollowingchangeunderoperation.TheGrowthofOverallDiameter01234567050000100000150000200000mileage(km)O.D.growth(mm)TRANSITIONSTABILITYOverallDiameter(mm)Mileage(km)第16頁/共30頁<Thegrowthoftireunderoperation.>OverallDiameter：GrowthO.D.(lowpressure)≒NewtireO.D.(highpressure)Thegrowthoftireunderoperation

TIREGROWTHOverallDiameter(mm)AirPressure(kPa)AirPressurevs.OverallDiameter(11R22.5)New(actualtire)Grown(actualtire)第17頁/共30頁<Thegrowthoftireunderoperation.>OutsideDiameter：GrowthO.D.(LowPressure)≒NewTireO.D.(HighPressure)SectionWidth：Almostnon-changeAirPressurevs.SectionWidth(11R22.5)SectionWidth(mm)AirPressure(kPa)Thegrowthoftireunderoperation

New(actualtire)Grown(actualtire)第18頁/共30頁NEWGROWN--aTiregrowthRubberpropertiesCalculationofprincipalstrainintirebyFEMRubberpropertiesMILEAGE(km)O.D.GROWTH(mm)GROWN--bGROWN--aNEWTBtireshavefollowingchangeunderoperationEstimation：MarginofSafetyTheGrowthOfOverallDiameterS-SCurve第19頁/共30頁FEMModel：NEWTIRE1stinflatedProcedureof

NEW

TIREsimulationNEWTIREMODEL

INFLATED

LOADEDANALYSISActual(NEW)SIZE：11R22.5RIM：22.5×7.50A.P700KPaInflatedcalculation：1timeSimulationofNEWTIRE(FEM)第20頁/共30頁Inflatedcalculation&Inflatedcalculation(2times)DoubleInflationPressureMethod!2nd-inflatedActual(GROWN)RIM：22.5×7.50A.P700KPa1st-inflatedprofile=REMODELSimulationofGROWNTIRE(FEM)Procedureof

GROWN

TIREsimulationNEWTIREMODEL

INFLATED

INFLATED

LOADEDANALYSIS第21頁/共30頁DoubleInflationPressureMethodActual(GROWN)Calculatedprofilecorrespondstoactualprofile.第22頁/共30頁AirPressurevs.OverallDiameterOverallDiameter(mm)AirPressurevs.TireOverallDiameterNew(actual)Grown(actual)New(calculation)Grown(calculation)NEWGROWNAirPressure(KPa)第23頁/共30頁Example:EffectoftireprofileondurabilitybyFEM<NEWTIRE>Estimation：PrincipalstrainofbeltedgefillerLoadedLoadedInflatedNewmodelRemodel<GROWNTIRE>InflatedDoubleInflationPressure第24頁/共30頁MODELAMODELBMODELCExample:EffectoftireprofileondurabilitybyFEMOutsidesurfaceBodyplylineSIZE

:11R22.5第25頁/共30頁New(loaded)Grown(loaded)<Beltedgefiller>ContourofstrainContactareaContactareaNEWGROWNStrainRotationAirpressure PrincipalstrainTiregrowth PrincipalstrainExample：PrincipalstrainofbeltedgebyFEM第26頁/共30頁MarginofSafety=Eb