1、FEM Application on Tire Design,锦湖轮胎,1. 有限要素法介绍 2. 轮胎结构说明特征 3. 轮胎结构说明体系 4.轮胎结构说明例题 5. 结论及希望效果,目录,有限要素法(Finite Element Method) ?把像轮胎的结构物分割成有限个结构物，对分割的要素各自创建平衡方程式，把这组合到全体要素，对联力方程式求近似解 （变位，应力，变形率）的数值解析方法。有限要素法不是绝对的性能预测，而是以相对 VersionRanking工具使用。,有限要素法定义,有限要素法定义,Equation of MotionGeometry (Mesh)-. Node-.
2、ElementMaterial Property-. Rubber : E, v-. Cord : E, EPI, AngleBoundary Condition-. -. ,Basic Elasticity,有限要素法正式化,Potential Energy :,Virtual Work :,Final Equation :,1. Tread 2. Carcass 3. Belt 4. Sidewall 5. Bead 6. Innerliner 7. Capply 8. Flipper 9. Apex,轮胎结构说明特征,几何学的非线性 - Large Deformation,Small S
3、train ( X ),Lagrangian Strain ( O ),材料的非线形性 - Material Non-Linearity,Hyperelastic Material Model,Moony-Rivlin Model 系列 (O),Ogden Model 系列,经济条件的非线形性 - Contact & Friction,Contact condition,Friction condition,h,p,Friction constraint 0 (slip)Penalty method,Contact constrainth0 p=0 (no pressure)h=0 p0 (c
4、ontact pressure)Lagrange multiplier method,cr,CAD/CAE 体系现况,KADAS是 利用超级电脑 ，在产品设计阶段 预测轮胎运行性能，即轮胎性能自动预测系统。KADAS是使用了最短点的数值解析方法 ，结构解析轮胎耐久力, 磨损,牵引力,安全性, 乘车感, 噪音性能最低化的 技术。KADAS为 Kumho Automated Design Analysis System的缩略语， 是缩短开发时间，减少开发费用, 提高产品品质的技术。,KADAS 定义,KADAS ,KADAS , 1, 2,3,Tire only Smooth tire Stati
5、c analysis,Tire only Pattern tire Steady rolling,Tire+vehicle Pattern tire Transient rolling,Strain energy Footprint pressure Spring rate Temperature,Force & moment Frictional energy Modal frequency Hydroplaning,Durability & RR Ride & handling Wear & Traction Noise & vibration,CAD/ CAE separation CA
6、E professionals,CAD/CAE interface Few engineers,CAD/CAE integration Most engineers, , , , ,1995 2000 () 1(Vector),2001 2006 () 2(SMP),2007 2010 () 3(Cluster), ,KADAS ,KADAS ,1. Tire Static Analysis, .Simulation item : Strain energy, Footprint pressure, Spring rate, Cord tension, Dimension,Tire stati
7、c analysis model,Strain distribution around tire,Tire Static Analysis,2. Tire Thermal Analysis, , .Simulation item : Temperature, Rolling resistance,Hysterisis loss of rubber,Temperature distribution inside tire,Tire Thermal Analysis,3. Tire Steady Rolling Analysis, .Simulation item : Force & moment
8、, Strain energy, Footprint pressure,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) .Simulation item : Mode shape, Natural frequency, Frequency response,Tire mode sh
9、ape (2nd mode),Frequency response function (FRF),Tire Modal Dynamic Analysis,5. Pattern Tire Rolling Analysis, / , .Simulation item : Force & moment, PRAT (Plysteer Residual Aligning Torque)Frictional energy, Footprint pressure (Pattern tire),Force & moment (PRAT) prediction,Pattern Tire Rolling Ana
10、lysis,Pattern Tire Analysis,6. Tread Slip Analysis, . Simulation item : Force & moment, PRAT, Frictional energy, Footprint pressure (Pattern only),Tread slip analysis model (TRESA),Frictional energy distribution,Tread Slip Analysis,7. Tire Explicit Dynamic Analysis, / NVH .Simulation item : Cleat im
11、pact, Cornering, Standing wave, Dry traction,Cleat impact analysis model,Tire force variation during cleat impact,Cleat Impact Analysis, Standing wave , Critical speed .,7. Tire Explicit Dynamic Analysis,Standing Wave Analysis (Critical Speed),Axle force,Standing Wave Analysis,ESCOT .ESCOT .ESCOT Ex
12、cellent & Smart Contour Optimization Theory Escort .,8. Tire Shape Optimization Analysis, .,Final ,Proto ,ESCOT-1 ( ), . , .,Proto ,Final ,ESCOT-2 ( ),Final ,Proto , , . ESCOT-3 .,ESCOT-3 ( ),9. Tire Fracture Analysis, Global-Local .Simulation item : Fatigue life in belt edge & carcass edge,Global a
13、nalysis,Local analysis,Fatigue life,10. Tire Uniformity Analysis, , , Uniformity .Simulation item : Low speed uniformity (RFV, LFV),Input,Solving,Output,Tire uniformity simulation procedure,Tire Uniformity Analysis,11. Aircraft Tire Analysis, .Simulation item : Inflation, static, steady rolling analysis,Strain energy distribution,Footprint pressure distribution,12. Tire Manufacturing Analysis, Bladder , .Simulation item : Cure bladder shaping, Post cure inflation, Indentation,Cure bladder shaping analysis,Post cure inflation analysis (Temperature),Cure Bladder Shaping Analysis, ,
