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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 Version Ranking工具使用。,有限要素法定义,有限要素法定义,Equation of Motion Geometry(Mesh)-.Node-.Element M
2、aterial Property-.Rubber:E,v-.Cord:E,EPI,Angle Boundary Condition-.-.,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,轮胎结构说明特征,几何学的非线性-Large Deformation,Small Strain(X),Lagrangian Strain(O),材料的非线形性-Ma
3、terial 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 constraint h0 p=0(no pressure)h=0 p0(contact pressure)Lagrange multiplier method,cr,CAD/CAE 体
4、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 onlySmooth tireStatic analysis,Tire onlyPattern tireSteady rolling,Tire+vehiclePattern
5、 tireTransient rolling,Strain energyFootprint pressureSpring rateTemperature,Force&momentFrictional energyModal frequencyHydroplaning,Durability&RRRide&handlingWear&TractionNoise&vibration,CAD/CAE separationCAE professionals,CAD/CAE interfaceFew engineers,CAD/CAE integrationMost engineers,1995 2000(
6、)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 static analysis model,Strain distribution around tire,Tire Static Analysis,2.Tire Thermal Analysis,.Simulation item:Temperat
7、ure,Rolling resistance,Hysterisis loss of rubber,Temperature distribution inside tire,Tire Thermal Analysis,3.Tire Steady Rolling Analysis,.Simulation item:Force&moment,Strain energy,Footprint pressure,Spring rate,Cord tension,Dimension,Tire rolling analysis model,Tire deformed shape,Tire Steady Rol
8、ling Analysis,4.Tire Modal Dynamic Analysis,NVH(Noise,Vibration,and Harshness).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,/,.Simulation item:Force&moment,PRAT(P
9、lysteer Residual Aligning Torque)Frictional energy,Footprint pressure(Pattern tire),Force&moment(PRAT)prediction,Pattern Tire Rolling Analysis,Pattern Tire Analysis,6.Tread Slip Analysis,.Simulation item:Force&moment,PRAT,Frictional energy,Footprint pressure(Pattern only),Tread slip analysis model(T
10、RESA),Frictional energy distribution,Tread Slip Analysis,7.Tire Explicit Dynamic Analysis,/NVH.Simulation item:Cleat impact,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 Dy
11、namic Analysis,Standing Wave Analysis(Critical Speed),Axle force,Standing Wave Analysis,ESCOT.ESCOT.ESCOT Excellent&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,
12、Global-Local.Simulation item:Fatigue life in belt edge&carcass edge,Global analysis,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 Ana
13、lysis,.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,
