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Kumho R& D CenterStructural Design Analysis Team FEM Application on Tire Design锦 湖 轮 胎 Kumho R& D CenterStructural Design Analysis Team 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 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 Version Ranking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 -. -. .00 xbTDiv Kumho R& D CenterStructural Design Analysis Team 0lll : ll : AF : FlF ),( 3210 ddd xxu )( 312312332211 , AF ),( 312312332211 xu ddBasic Elasticity Kumho R& D CenterStructural Design Analysis Team 有 限 要 素 法 正 式 化 D u FuK V S TT dSpudV 21 V S TT dSpudVD 210 V S TT dSpNudVBDB Potential Energy : Virtual Work : iuNu NB Final Equation : Kumho R& D CenterStructural Design Analysis Team 1. Tread2. Carcass3. Belt4. Sidewall5. Bead6. Innerliner7. Capply8. Flipper9. ApexComplicated tire geometry Performance 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 Deformation )(21 ijjiij xuxu l Small Strain ( X )l Lagrangian Strain ( O ) )(21 ji kkijjiLij XX uuXuXu Kumho R& D CenterStructural Design Analysis Team 材 料 的 非 线 形 性 - Material Non-Linearityn Hyperelastic Material Model)(strainfW ),( 32,1 IIIfW ),( 321 fW l Moony-Rivlin Model 系 列 (O)l Ogden Model 系 列 2201110 1133 )J(D)I(C)I(CW 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 constraint h0 p=0 (no pressure) h=0 p0 (contact pressure) Lagrange multiplier method cr Kumho 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 KADAS Kumho R& D CenterStructural Design Analysis Team KADAS Wear & Traction Simulation Noise & Vibration Simulation Durability & RR Simulation Ride & Handling Simulation Design Optimization Kumho R& D CenterStructural Design Analysis Team 1 2 3 Tire onlySmooth tireStatic analysis Tire onlyPattern tireSteady rolling Tire+vehiclePattern tireTransient rollingStrain energyFootprint pressureSpring rateTemperature Force & momentFrictional energyModal frequencyHydroplaning Durability & RRRide & handlingWear & TractionNoise & vibrationCAD/ CAE separationCAE professionals CAD/CAE interfaceFew engineers CAD/CAE integrationMost engineers 1995 2000 ( ) 1 (Vector) 2001 2006 ( ) 2 (SMP) 2007 2010 ( ) 3 (Cluster) KADAS Kumho R& D CenterStructural Design Analysis Team KADAS Kumho Automated Design Analysis System (KADAS) 1. Tire Static Analysis 2. Steady Rolling Analysis 6. Tread Slip Analysis 5. Pattern Tire Analysis 4. Modal Dynamic Analysis 3. Tire Thermal Analysis 11. Aircraft Tire Analysis 8. Shape Optimization (ESCOT) 7. Explicit Dynamic Analysis 9. Tire Fracture Analysis10. Tire Uniformity Analysis12. Manufacturing Analysis Kumho R& D CenterStructural Design Analysis Team 1. Tire Static Analysis n .n Simulation item : Strain energy, Footprint pressure, Spring rate, Cord tension, DimensionTire static analysis model Strain distribution around tire Kumho R& D CenterStructural Design Analysis Team q Tire Static Analysis Kumho R& D CenterStructural Design Analysis Team 2. Tire Thermal Analysis n , .n Simulation item : Temperature, Rolling resistance sin00W Hysterisis LossHysterisis loss of rubber Temperature distribution inside tire Kumho R& D CenterStructural Design Analysis Team q Tire Thermal Analysis Kumho R& D CenterStructural Design Analysis Team 3. Tire Steady Rolling Analysis n .n Simulation item : Force & moment, Strain energy, Footprint pressure, Spring rate, Cord tension, Dimension Lateral ForceVertical ForceInflation PressureTire rolling analysis model Tire deformed shape Kumho R& D CenterStructural Design Analysis Team q Tire Steady Rolling Analysis Kumho R& D CenterStructural Design Analysis Team 4. Tire Modal Dynamic Analysis n 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 Team q Tire Modal Dynamic Analysis Kumho R& D CenterStructural Design Analysis Team 5. Pattern Tire Rolling Analysis n / , .n Simulation item : Force & moment, PRAT (Plysteer Residual Aligning Torque) Frictional energy, Footprint pressure (Pattern tire) Vertical loadRotation PressureSlip angle Force & moment (PRAT) prediction q Pattern Tire Rolling Analysis a2a1Lateral Force (N)Aligning Torque (N-m)RCFPRATLateral force Aligning TorqueSlip angle Kumho R& D CenterStructural Design Analysis Team q Pattern Tire Analysis Kumho R& D CenterStructural Design Analysis Team 6. Tread Slip Analysis n . n Simulation item : Force & moment, PRAT, Frictional energy, Footprint pressure (Pattern only) )()(1 kijkijkijkijnkij SyFySxFxw Tread slip analysis model (TRESA) Frictional energy distribution Kumho R& D CenterStructural Design Analysis Team q Tread Slip Analysis Kumho R& D CenterStructural Design Analysis Team 7. Tire Explicit Dynamic Analysis n / NVH .n Simulation item : Cleat impact, Cornering, Standing wave, Dry tractionLongitudinalVerticalCleat impact analysis model Tire force variation during cleat impact Kumho R& D CenterStructural Design Analysis Team q Cleat Impact Analysis Kumho R& D CenterStructural Design Analysis Team Standing wave , Critical speed . 7. Tire Explicit Dynamic Analysisq Standing Wave Analysis (Critical Speed)Axle force Kumho R& D CenterStructural Design Analysis Team q Standing Wave Analysis Kumho R& D CenterStructural Design Analysis Team ESCOT . ESCOT . ESCOT Excellent & Smart Contour Optimization Theory Escort . 8. Tire Shape Optimization Analysis Kumho R& D CenterStructural Design Analysis Team . Final Proto ESCOT-1 ( ) Kumho R& D CenterStructural Design Analysis Team . , .Proto Final ESCOT-2 ( ) Kumho R& D CenterStructural Design Analysis Team Final Proto , . ESCOT-3 . ESCOT-3 ( ) Kumho R& D CenterStructural Design Analysis Team 9. Tire Fracture Analysis n Global-Local .n Simulation item : Fatigue life in belt edge & carcass edge0 Crack sizeTotal mileage Global analysis Local analysis Fatigue life)( 1)( 0ccGAGA dcN fmcc mfo Kumho R& D CenterStructural Design Analysis Team 10. Tire Uniformity Analysis n , , Uniformity .n Simulation item : Low speed uniformity (RFV, LFV) Input Solving Output0 Tire 1 RFVForceTire uniformity simulation procedure Kumho R& D CenterStructural Design Analysis Team q Tire Uniformity Analysis Kumho R& D CenterStructural Design Analysis Team 11. Aircraft Tire Analysis n .n Simulation item : Inflation, static, steady rolling analysisStrain energy distribution Footprint pressure distribution Kumho R& D CenterStructural Design Analysis Team 12. Tire Manufacturing Analysis n Bladder , .n Simulation item : Cure bladder shaping, Post cure inflation, Indentation Cure bladder shaping analysis Post cure inflation analysis (Temperature) Kumho R& D CenterStructural Design Analysis Team q Cure Bladder Shaping Analysis Kumho R& D CenterStructural Design Analysis Team Wear & Traction Simulation Noise & Vibration Simulation Durability & RR Simulation Ride & Handling Simulation Optimum DesignKADAS
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