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1、新編橫濱的新輪胎設計方法學新編橫濱的新輪胎設計方法學Contents目錄1. Introduction 簡介2. Radial Tire Construction , Function & Characteristics特征3. FRR (Characteristics of Cord & Rubber)4. Introduction of Safety-Factors for rubber products5. Simulation Approach to Durability of Rubber Product6. Numerical Example: Truck and Bus Tire

2、7. ConclusionsContents目錄1. Introduction 簡介 IntroductionPurpose of This Paper :Proposal for the new design method considering actual condition of rubber products, for example a tire 35Pressure (kPa)TimeTimeTemperature ()Internal Air TemperatureAir Pressure100kPa12R22.5 IntroductionPurpose of This PRa

3、dial Tire ConstructionBead CoreTread RubberSidewall RubberBelt LayerCarcass LayerRadial Tire ConstructionBead CBasic function required of a tire 1) Load - carrying capacity2) Transmission of driving and breaking torque3) Cushioning ability4) Road - holding ability Other requirementAnd also Informati

4、on center of a vehicle RubberCordFRRBias laminateBias plyCharacteristics of TireBasic function required of a trubbercordlarge deformation &large strainincompressibilitymaterial nonlinearitycomposite structureviscoelasitcityrolling contactCharacteristics of Tire rubbercordlarge deformatiRubber model

5、in tire partHeterogeneous異型 structure model for carbon black filed rubber Quasi-glassy state (C phase)Liquid state (A phase)Cross linked rubber molecules (B phase)Carbon blackInteraction between C phasesRubber model in tire partQuasiReinforcemant of Elastomers: (edited by Gerard Kraus, Interscience

6、Publishers, N.Y., 1965)Section 6:Microscopy in the Study of Elastomer Reinforcement by Pigment Fillers(by William M. Hess) Rubber in tire part by Microscopy Heterogeneous structure for carbon black filed rubber Reinforcemant of Elastomers: Mechanical properties of cord & rubber From the above table

7、Modulus of cord Modulus of rubber Breaking strain of cord Breaking strain of rubber Mechanical properties of cord Introduction of Safety-Factors for rubber productsFRR(cord);rubber part;The durability of rubber is evaluated by principal strain(belt layer, carcass layer)The durability of FRR is evalu

8、ated by stress(Margin of safety)(Safety-Factor)Introduction of Safety-Facto Tire condition under operation: Tire profile growth & rubber aging due to heat build-up2. It is necessary to take tire profile growth & rubber aging into consideration. The new design technology considering actual condition,

9、 for example,Tire Simulation Approach to Rubber Product (1)NEWGROWNSTRESS (Mpa)STRAIN (%)EbS - S CurveMILEAGE (km)O.D. GROWTH (mm)NEWGROWNThe Growth of Overall DiameterGrowth of tire : Double Inflation Pressure Method The new design technology con3. Introduction of the Safety Factor conceptTimeOLDNE

10、WDangerous zone20Safety FactorMargin of Safety = Eb / (max) Eb = Breaking strain of rubber(max) = Maximum value of principal strain in tire parts4. Example: Tire size 11R22.5 Effect of tire profile on durability by Simulation Approach of FEMSimulation Approach to Rubber Product (2) Safety zone103. I

11、ntroduction of the Safety Double Inflation Pressure MethodEstimation :Principal strain of belt edge fillerDeflectedDeflectedInflatedNew model Remodel InflatedDouble Inflation PressureDouble Inflation Pressure MethTire size:11R22.5Room temperature:30Load :21.4kNA.P. :700kPa100km/h8h + 60km/h24h1set=2

12、9,120 km 6set = 174,720km(with shaving tread rubber)What happens to TB tires due to high heat and pressure ?Profile is changed.!Tire size:11R22.5What happens NEWGROWN1SET 29,120km3SET 87,360km5SET 145,600km2SET 58,240km4SET 116,480km6SET 174,720kmGrowth of Overall Diameter !What happens to TB tires

13、due to high heat and pressure ?NEWGROWN1SET 29,120km3SET 87,3O.D. growth begins in early stages of tire life.After that , it stabilizes.The growth of tire under operation TB tires have following change under operation.The Growth of Overall Diameter01234567050000100000150000200000mileage ( km )O.D. g

14、rowth ( mm )TRANSITIONSTABILITYOverall Diameter ( mm )Mileage (km)O.D. growth begins in early stOverall Diameter : Growth O.D. (low pressure) New tire O.D. ( high pressure)The growth of tire under operation TIRE GROWTHOverall Diameter ( mm )Air Pressure ( kPa )Air Pressure vs. Overall Diameter (11R2

15、2.5) New (actual tire )Grown (actual tire)The growth of tire under operOutside Diameter : Growth O.D.(Low Pressure) New Tire O.D. ( High Pressure)Section Width : Almost non-changeAir Pressure vs. Section Width (11R22.5) Section Width ( mm )Air Pressure ( kPa )The growth of tire under operation New (

16、actual tire )Grown (actual tire) The growth of tire under opeNEWGROWN-aTire growth Rubber propertiesCalculation of principal strain in tire by FEMRubber propertiesMILEAGE (km)O.D. GROWTH (mm)GROWN-bGROWN-aNEWTB tires have following change under operationEstimation : Margin of Safety The Growth Of Ov

17、erall Diameter S - S Curve NEWTire growth Rubber propertiFEM Model :NEW TIRE1st inflatedProcedure of NEW TIRE simulationNEW TIRE MODEL INFLATED LOADED ANALYSISActual (NEW)SIZE:11R22.5RIM:22.57.50A.P 700KPaInflated calculation: 1 timeSimulation of NEW TIRE ( FEM )FEM Model :NEW TIRE1st inflateInflate

18、d calculation & Inflated calculation ( 2 times )Double Inflation Pressure Method !2nd-inflatedActual (GROWN)RIM:22.57.50A.P 700KPa1st-inflated profile=REMODELSimulation of GROWN TIRE ( FEM )Procedure of GROWN TIRE simulationNEW TIRE MODEL INFLATED INFLATED LOADED ANALYSISInflated calculation & Infla

19、teDouble Inflation Pressure MethodActual (GROWN)Calculated profile corresponds to actual profile.Double Inflation Actual (GROWNAir Pressure vs. Overall DiameterOverall Diameter ( mm )Air Pressure vs. Tire Overall DiameterNew (actual)Grown (actual)New(calculation)Grown(calculation)NEWGROWNAir Pressur

20、e (KPa)Air Pressure vs. Overall DiameExample : Effect of tire profile on durability by FEMEstimation :Principal strain of belt edge fillerLoadedLoadedInflatedNew model Remodel InflatedDouble Inflation PressureExample : Effect of tire profMODEL AMODEL BMODEL CExample : Effect of tire profile on durab

21、ility by FEMOutside surfaceBody ply line SIZE: 11R22.5MODEL AMODEL BMODEL CExample :New (loaded)Grown (loaded)Contour of strainContact areaContact areaNEWGROWNStrainRotationAir pressure Principal strainTire growth Principal strainExample : Principal strain of belt edge by FEMNew (loaded)Grown (loaded)BelMargin of Safety = Eb / (max)Which is the best ? = “ MODEL B ”New design tec

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