輪胎結(jié)構(gòu)設(shè)計(jì)

1、FEM Application on Tire Design,錦湖輪胎,1. 有限要素法介紹2. 輪胎結(jié)構(gòu)說明特征3. 輪胎結(jié)構(gòu)說明體系4.輪胎結(jié)構(gòu)說明例題 5. 結(jié)論及希望效果,,目錄,,有限要素法(Finite Element Method) ? 把像輪胎的結(jié)構(gòu)物分割成有限個(gè)結(jié)構(gòu)物，對(duì)分割的要素各自創(chuàng) 建平衡方程式，把這組合到全體要素，對(duì)聯(lián)力方程式求近似解（變位，應(yīng)力，變形率）的數(shù)值解析方法。 有限要素法不

2、是絕對(duì)的性能預(yù)測，而是以相對(duì) Version Ranking工具使用。,有限要素法定義,,有限要素法定義,Equation of Motion Geometry (Mesh) -. Node -. Element Material Property -. Rubber : E, v -. Cord : E, EPI, Angle Boundary Condition -. ?? ??

3、-. ?? ??,,,Basic Elasticity,,有限要素法正式化,Potential Energy :,Virtual Work :,Final Equation :,1. Tread2. Carcass3. Belt4. Sidewall5. Bead6. Innerliner7. Capply8. Flipper9. Apex,,輪胎結(jié)構(gòu)說明特征,幾何學(xué)的非線性 - Large Deformat

4、ion,Small Strain ( X ),Lagrangian Strain ( O ),,材料的非線形性 - Material Non-Linearity,Hyperelastic Material Model,Moony-Rivlin Model 系列 (O),Ogden Model 系列,,經(jīng)濟(jì)條件的非線形性 - Contact & Friction,Contact condition,,Friction condit

5、ion,,,,,,,,,h,p,?,?,Friction constraint ? 0 (slip) Penalty method,Contact constraint h>0 ? p=0 (no pressure) h=0 ? p>0 (contact pressure) Lagrange multiplier method,?cr,,CAD/CAE 體系現(xiàn)況,KADAS是 利用超

6、級(jí)電腦 ，在產(chǎn)品設(shè)計(jì)階段 預(yù)測輪胎運(yùn)行性能，即輪胎性能 自動(dòng)預(yù)測系統(tǒng)。 KADAS是使用了最短點(diǎn)的數(shù)值解析方法 ，結(jié)構(gòu)解析輪胎耐久力, 磨損,牽引力, 安全性, 乘車感, 噪音性能最低化的 技術(shù)。 KADAS為 Kumho Automated Design Analysis System的縮略語， 是縮短開發(fā)時(shí) 間，減少開發(fā)費(fèi)用, 提高產(chǎn)品品質(zhì)的技術(shù)。,,KADAS 定義,,KADAS ?? ???,,KADAS ?? ?

7、??,? 1??,? 2??,?3??,Tire onlySmooth tireStatic analysis,Tire onlyPattern tireSteady rolling,Tire+vehiclePattern tireTransient rolling,Strain energyFootprint pressureSpring rateTemperature,Force & momentFric

8、tional energyModal frequencyHydroplaning,Durability & RRRide & handlingWear & TractionNoise & vibration,CAD/ CAE separationCAE professionals,CAD/CAE interfaceFew engineers,CAD/CAE integrationMost

9、engineers,? ?,?? ??,?? ??,? ? ?,1995 ~ 2000 (??)??? 1??(Vector),2001 ~ 2006 (??)??? 2??(SMP),2007 ~ 2010 (??)??? 3??(Cluster),?? ??,,KADAS ??? ??,,KADAS ??? ??,1. Tire Static Analysis,,???? ????? ??? ?? ?????? ??

10、??? ???? ??? ??? ??? ???. Simulation item : Strain energy, Footprint pressure, Spring rate, Cord tension, Dimension,Tire static analysis model,Strain distribution around tire,Tir

11、e Static Analysis,2. Tire Thermal Analysis,???? ?? ??? ?? ?????? ?????, ?? ?? ?? ????? ????? ???. Simulation item : Temperature, Rolling resistance,,Hysterisis loss of rubber,Temperature distribution inside tire,Ti

12、re Thermal Analysis,3. Tire Steady Rolling Analysis,???? ????? ??? ?? ???? ???? ?? ???? ???? ?????? ???. Simulation item : Force & moment, Strain energy, Footprint pressure,

13、Spring rate, Cord tension, Dimension,,Tire rolling analysis model,Tire deformed shape,Tire Steady Rolling Analysis,4. Tire Modal Dynamic Analysis,,???? ?? ???? ?? ?? ??? ???? ??? NVH (Noise, Vibration, and Harshness

14、) ??? ???. Simulation item : Mode shape, Natural frequency, Frequency response,Tire mode shape (2nd mode),Frequency response function (FRF),Tire Modal Dynamic Analysis,,5. Pattern Tire Rolling Analysis,?? ???? ??? ?? ?/

15、??? ? ?????? ???? ?????, ?? ? ??? ??? ???. Simulation item : Force & moment, PRAT (Plysteer Residual Aligning Torque) Frictional energy, Footprint pressure (Pattern tire),Forc

16、e & moment (PRAT) prediction,Pattern Tire Rolling Analysis,Pattern Tire Analysis,6. Tread Slip Analysis,,,??? ??? ??? ?? ??? ?? ??? ?? ??? ?? ?? ??? ? ?????? ???. Simulation item : Force & moment, PRAT,

17、Frictional energy, Footprint pressure (Pattern only),Tread slip analysis model (TRESA),Frictional energy distribution,Tread Slip Analysis,7. Tire Explicit Dynamic Analysis,,???? ?????

18、 ??? ?? ?/??? ? ?? ?? ??? ???? ????? ? NVH ??? ???. Simulation item : Cleat impact, Cornering, Standing wave, Dry traction,Cleat impact analysis model,Tire force variation during cleat impact,Cleat Impact Analysis,?

19、??? ?? ???? ?? ???? ???? ?? Standing wave? ?? ???, ??? Critical speed? ????? ???? ??? ???.,7. Tire Explicit Dynamic Analysis,,Standing Wave Analysis (Critical Speed),Axle force,Standing Wave Analysis,,ESCOT? ???? ??

20、??? ?????? ?? ?????? ???? ??? ???? ?? ???? ??? ???. ESCOT? ??? ??? ??????? ?? ? ????? ?? ??? ??? ??? ??????? ??? ? ???? ????. ESCOT? Excellent & Smart Contour Optimization Theory? ???? ????? ???? ??? Escort

21、 ??? ???? ???.,8. Tire Shape Optimization Analysis,??? ???? ??? ????? ????? ???? ????? ?? ?? ??? ????? ???? ?????? ?? ??? ?? ?? ?? ??? ?? ???? ?.,Final ??,Proto ??,ESCOT-1 (?? ?? ??),,?????? ??? ?? ??? ???? ?????? ???

22、???? ??? ??. ??? ?? ??? ???????, ?????????? ??? ???? ??? ?? ?????.,Proto ??,Final ??,ESCOT-2 (?? ??? ??),,Final ??,Proto ??,???? ?? ?? ??? ???? ??, ?? ?? ?? ????? ??? ??? ??. ESCOT-3 ??? ?? ?? ??? ??????? ?? ? ??? ?

23、?? ????? ??? ?? ?????.,ESCOT-3 (??? ??? ??),,9. Tire Fracture Analysis,,??? ?? ??? ?? Global-Local ???? ??? ?? ??? ?? ???? ?? ??? ???. Simulation item : Fatigue life in belt edge & carcass edge,,,,,,Global analy

24、sis,Local analysis,Fatigue life,10. Tire Uniformity Analysis,,?? ???? ??, ??, ?? ??? ??? ????? ??? ???? ???? Uniformity ??? ???. Simulation item : Low speed uniformity (RFV, LFV),Input,Solving,Output,,,Tire uniform

25、ity simulation procedure,Tire Uniformity Analysis,11. Aircraft Tire Analysis,?? ???? ?? ???? ???? ??? ??? ????? ?????? ?? ?? ?? ???. Simulation item : Inflation, static, steady rolling analysis,,Strain energy distri

26、bution,Footprint pressure distribution,12. Tire Manufacturing Analysis,,?? ? ?? Bladder ?? ??, ??? ?? ?? ?? ??? ?? ??? ???? ???. Simulation item : Cure bladder shaping, Post cure inflation, Indentation,Cure bladder