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Kumho R&D CenterStructural Design Analysis TeamFEM Application on Tire Design锦湖轮胎Kumho R&D CenterStructural Design Analysis Team1. 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Kumho R&D CenterStructural Design Analysis Team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Kumho R&D CenterStructural Design Analysis Team有限要素法定义 Equation of Motion Geometry (Mesh)-. Node-. Element Material Property-. Rubber : E, v-. Cord : E, EPI, Angle Boundary Condition-. -. Kumho R&D CenterStructural Design Analysis TeamFFBasic ElasticityKumho R&D CenterStructural Design Analysis Team有限要素法正式化 Potential Energy : Virtual Work : Final Equation :Kumho R&D CenterStructural Design Analysis Team1. Tread2. Carcass3. Belt4. Sidewall5. Bead6. Innerliner7. Capply8. Flipper9. ApexComplicated tire geometryPerformance simulation system (KADAS)Powerful computing system (HP Superdome)Complex nonlinear features 轮胎结构说明特征Kumho R&D CenterStructural Design Analysis Team几何学的非线性 - Large Deformationl Small Strain ( X )l Lagrangian Strain ( O )Kumho R&D CenterStructural Design Analysis Team材料的非线形性 - Material Non-Linearityn Hyperelastic Material Modell Moony-Rivlin Model 系列 (O)l Ogden Model 系列Kumho R&D CenterStructural Design Analysis Team经济条件的非线形性 - Contact & Frictionl Contact condition l Friction conditionhp Friction constraint 0 (slip) Penalty method Contact constrainth0 p=0 (no pressure)h=0 p0 (contact pressure) Lagrange multiplier methodcrKumho R&D CenterStructural Design Analysis Team区域 S/W H/W 用途结构设计 CATIA V4 (2) IBM RS/6000 轮胎设计图形处理 Mold 制作图形处理CATIA V5 (19) IBM Z-ProCADOT (In-house) IBM Z-Pro 统一 CAD 结构设计体系结构说明 ABAQUS V6 (15) HP Superdome 结构说明 FEM SolverIDEAS V10 (6) HP B2600 结构说明 Pre/Post ProcessingKADAS (In-house) HP L3000 统一 FEM 结构说明体系流体说明 MSC.Dytran (1) HP Superdome 结构 +流体说明 FVM Solver流动说明 Polyflow (2) HP Superdome 橡胶流动说明 FEM Solver东力学说明 MSC.ADAMS (1) IBM M-Pro 动力学说明 Solver噪音说明 SYSNOISE (1) HP B2600 噪音说明 BEM SolverKUPAS (In-house) ISM Z-Pro 统一花纹性能预测体系CAD/CAE 体系现况Kumho R&D CenterStructural Design Analysis Team 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Kumho R&D CenterStructural Design Analysis Team /Mold/ /Mold/ Simulation KADASKADAS Kumho R&D CenterStructural Design Analysis TeamKADAS Wear & Traction SimulationNoise & Vibration SimulationDurability & RR SimulationRide & Handling SimulationDesign OptimizationKumho R&D CenterStructural Design Analysis Team 1 2 3Tire onlySmooth tireStatic analysisTire onlyPattern tireSteady rollingTire+vehiclePattern tireTransient rollingStrain energyFootprint pressureSpring rateTemperatureForce & momentFrictional energyModal frequencyHydroplaningDurability & RRRide & handlingWear & TractionNoise & vibrationCAD/ CAE separationCAE professionalsCAD/CAE interfaceFew engineersCAD/CAE integrationMost engineers 1995 2000 ( ) 1 (Vector)2001 2006 ( ) 2 (SMP)2007 2010 ( ) 3 (Cluster) KADAS Kumho R&D CenterStructural Design Analysis TeamKADAS Kumho Automated Design Analysis System (KADAS)1. Tire Static Analysis2. Steady Rolling Analysis6. Tread Slip Analysis5. Pattern Tire Analysis4. Modal Dynamic Analysis3. Tire Thermal Analysis11. Aircraft Tire Analysis8. Shape Optimization (ESCOT)7. Explicit Dynamic Analysis9. Tire Fracture Analysis10. Tire Uniformity Analysis12. Manufacturing AnalysisKumho R&D CenterStructural Design Analysis Team1. Tire Static Analysisn .n Simulation item : Strain energy, Footprint pressure, Spring rate, Cord tension, DimensionTire static analysis model Strain distribution around tireKumho R&D CenterStructural Design Analysis Teamq Tire Static AnalysisKumho R&D CenterStructural Design Analysis Team2. Tire Thermal Analysisn , .n Simulation item : Temperature, Rolling resistanceHysterisis LossHysterisis loss of rubber Temperature distribution inside tireKumho R&D CenterStructural Design Analysis Teamq Tire Thermal AnalysisKumho R&D CenterStructural Design Analysis Team3. Tire Steady Rolling Analysisn .n Simulation item : Force & moment, Strain energy, Footprint pressure,Spring rate, Cord tension, DimensionLateral ForceVertical ForceInflation PressureTire rolling analysis model Tire deformed shapeKumho R&D CenterStructural Design Analysis Teamq Tire Steady Rolling AnalysisKumho R&D CenterStructural Design Analysis Team4. Tire Modal Dynamic Analysisn NVH(Noise, Vibration, and Harshness) .n Simulation item : Mode shape, Natural frequency, Frequency responseTire mode shape (2nd mode) Frequency response function (FRF)Kumho R&D CenterStructural Design Analysis Teamq Tire Modal Dynamic AnalysisKumho R&D CenterStructural Design Analysis Team5. Pattern Tire Rolling Analysisn / , .n Simulation item : Force & moment, PRAT (Plysteer Residual Aligning Torque)Frictional energy, Footprint pressure (Pattern tire) Vertical loadRotation PressureSlip angleForce & moment (PRAT) predictionq Pattern Tire Rolling Analysisa2a1Lateral Force (N)Aligning Torque (N-m)RCFPRATLateral force Aligning TorqueSlip angleKumho R&D CenterStructural Design Analysis Teamq Pattern Tire AnalysisKumho R&D CenterStructural Design Analysis Team6. Tread Slip Analysisn . n Simulation item : Force & moment, PRAT, Frictional energy, Footprint pressure (Pattern only)Tread slip analysis model (TRESA) Frictional energy distributionKumho R&D CenterStructural Design Analysis Teamq Tread Slip AnalysisKumho R&D CenterStructural D

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