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1、Kumho R&D CenterStructural Design Analysis TeamFEM Application on Tire Design錦湖輪胎錦湖輪胎Kumho R&D CenterStructural Design Analysis Team1. 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)論及希望效果目錄目錄Kumho R&D CenterStructural Design Analysis Team有限要素法有限要素法(Finite Element Method) ? 把像輪胎的結(jié)構(gòu)物分割成有限個結(jié)構(gòu)物,對分割的要素各自創(chuàng)把
2、像輪胎的結(jié)構(gòu)物分割成有限個結(jié)構(gòu)物,對分割的要素各自創(chuàng) 建平衡方程式,把這組合到全體要素,對聯(lián)力方程式求近似解建平衡方程式,把這組合到全體要素,對聯(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。(變位,應(yīng)力,變形率的數(shù)值解析方法。 有限要素法不是絕對的性能預(yù)測,而是以相對有限要素法不是絕對的性能預(yù)測,而是以相對 Version Ranking工具使用。工具使用。 有限要素法定義有限要素法定義Kumho R&D CenterStructural Design Analysis Team有限要素法定義有限要素法定義 Equation of Motion Geometry (Mesh) -. N
3、ode -. Element Material Property -. Rubber : E, v -. Cord : E, EPI, Angle Boundary Condition -. -. .00 xbTDivKumho R&D CenterStructural Design Analysis Team 0lll : ll : AF : FlF),(3210ddd xxu)(312312332211, AF ),(312312332211 xuddBasic ElasticityKumho R&D CenterStructural Design Analysis Team有限要素法正式
4、化有限要素法正式化Du FuKVSTTdSpudV21VSTTdSpudVD210VSTTdSpNudVBDB Potential Energy : Virtual Work :iuNu NB Final Equation :Kumho R&D CenterStructural Design Analysis Team1. Tread2. Carcass3. Belt4. Sidewall5. Bead6. Innerliner7. Capply8. Flipper9. ApexComplicated tire geometryPerformance simulation system (KA
5、DAS)Powerful computing system (HP Superdome)Complex nonlinear features 輪胎結(jié)構(gòu)說明特征輪胎結(jié)構(gòu)說明特征Kumho R&D CenterStructural Design Analysis Team幾何學(xué)的非線性幾何學(xué)的非線性 - Large Deformation)(21ijjiijxuxul Small Strain ( X )l Lagrangian Strain ( O )(21jikkijjiLijXXuuXuXuKumho R&D CenterStructural Design Analysis Team材料的非
6、線形性材料的非線形性 - Material Non-Linearityn Hyperelastic Material Model)(strainfW ),(32, 1IIIfW ),(321fW l Moony-Rivlin Model 系列系列 (O)l Ogden Model 系列系列22011101133)J(D)I(C)I(CWKumho R&D CenterStructural Design Analysis Team經(jīng)濟(jì)條件的非線形性經(jīng)濟(jì)條件的非線形性 - Contact & Frictionl Contact conditionl Friction conditionhp Fri
7、ction constraint 0 (slip) Penalty method Contact constraint h0 p=0 (no pressure) h=0 p0 (contact pressure) Lagrange multiplier methodcrKumho R&D CenterStructural Design Analysis Team區(qū)域區(qū)域S/WH/W用途用途結(jié)構(gòu)設(shè)計(jì)結(jié)構(gòu)設(shè)計(jì)CATIA V4 (2)IBM RS/6000 輪胎設(shè)計(jì)圖形處理輪胎設(shè)計(jì)圖形處理 Mold 制作圖形處理制作圖形處理CATIA V5 (19)IBM Z-ProCADOT (In-house)
8、IBM Z-Pro 統(tǒng)一統(tǒng)一 CAD 結(jié)構(gòu)設(shè)計(jì)體系結(jié)構(gòu)設(shè)計(jì)體系結(jié)構(gòu)說明結(jié)構(gòu)說明ABAQUS V6 (15)HP Superdome 結(jié)構(gòu)說明結(jié)構(gòu)說明 FEM SolverIDEAS V10 (6)HP B2600 結(jié)構(gòu)說明結(jié)構(gòu)說明 Pre/Post ProcessingKADAS (In-house)HP L3000 統(tǒng)一統(tǒng)一FEM 結(jié)構(gòu)說明體系結(jié)構(gòu)說明體系流體說明流體說明MSC.Dytran (1)HP Superdome 結(jié)構(gòu)結(jié)構(gòu)+流體說明流體說明 FVM Solver流動說明流動說明Polyflow (2)HP Superdome 橡膠流動說明橡膠流動說明 FEM Solver東力學(xué)說明
9、東力學(xué)說明MSC.ADAMS (1)IBM M-Pro 動力學(xué)說明動力學(xué)說明 Solver噪音說明噪音說明SYSNOISE (1)HP B2600 噪音說明噪音說明 BEM SolverKUPAS (In-house)ISM Z-Pro 統(tǒng)一花紋性能預(yù)測體系統(tǒng)一花紋性能預(yù)測體系CAD/CAE 體系體系現(xiàn)況現(xiàn)況Kumho R&D CenterStructural Design Analysis Team KADAS是 利用超級電腦 ,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
10、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 間,減少開發(fā)費(fèi)用, 提高產(chǎn)品品質(zhì)的技術(shù)。 KADAS 定定義義Kumho R&D CenterStructural Design Analysis Team /Mold/ /Mold/ Simulation KADAS Kumho R&D CenterStructural Design Analysis TeamKADAS Wear & Traction SimulationWear & Traction SimulationNoise & Vibrati
11、on SimulationNoise & Vibration SimulationDurability & RR SimulationDurability & RR SimulationRide & Handling SimulationRide & Handling SimulationKumho R&D CenterStructural Design Analysis Team 1 23Tire onlySmooth tireStatic analysisTire onlyPattern tireSteady rollingTire+vehiclePattern tireTransient
12、 rollingStrain energyFootprint pressureSpring rateTemperatureForce & momentFrictional energyModal frequencyHydroplaningDurability & RRRide & handlingWear & TractionNoise & vibrationCAD/ CAE separationCAE professionalsCAD/CAE interfaceFew engineersCAD/CAE integrationMost engineers 2019 2000 () 1(Vect
13、or)2019 2019 () 2(SMP)2019 2019 () 3(Cluster) KADAS Kumho R&D CenterStructural Design Analysis TeamKADAS 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 Analysi
14、s11. Aircraft Tire Analysis 8. Shape Optimization (ESCOT) 7. Explicit Dynamic Analysis 9. Tire Fracture Analysis10. Tire Uniformity Analysis12. Manufacturing AnalysisKumho R&D CenterStructural Design Analysis Team 1. Tire Static Analysisn n .n Simulation item : Strain energy, Footprint pressure, Spr
15、ing rate, n Cord tension, DimensionTire static analysis modelStrain distribution around tireKumho R&D CenterStructural Design Analysis Teamq Tire Static AnalysisKumho R&D CenterStructural Design Analysis Team 2. Tire Thermal Analysisn , n .n Simulation item : Temperature, Rolling resistancesin00WHys
16、terisis LossHysterisis loss of rubberTemperature distribution inside tireKumho R&D CenterStructural Design Analysis Teamq Tire Thermal AnalysisKumho R&D CenterStructural Design Analysis Team 3. Tire Steady Rolling Analysisn n .n Simulation item : Force & moment, Strain energy, Footprint pressure,n S
17、pring rate, Cord tension, DimensionLateral ForceVertical ForceInflation PressureTire rolling analysis modelTire deformed shapeKumho R&D CenterStructural Design Analysis Teamq Tire Steady Rolling AnalysisKumho R&D CenterStructural Design Analysis Team 4. Tire Modal Dynamic Analysisn NVHn (Noise, Vibr
18、ation, 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 Team 5. Pattern Tire Rolling A
19、nalysisn / ,n .n Simulation item : Force & moment, PRAT (Plysteer Residual Aligning Torque)n Frictional energy, Footprint pressure (Pattern tire) Vertical loadRotationPressureSlip angleForce & moment (PRAT) predictionq Pattern Tire Rolling Analysisa2a1Lateral Force (N)Aligning Torque (N-m)RCFPRATLat
20、eral forceAligning TorqueSlip angleKumho R&D CenterStructural Design Analysis Teamq Pattern Tire AnalysisKumho R&D CenterStructural Design Analysis Team 6. Tread Slip Analysisn n . n Simulation item : Force & moment, PRAT, Frictional energy, n Footprint pressure (Pattern only)()(1kijkijkijkijnkijSyF
21、ySxFxwTread slip analysis model (TRESA)Frictional energy distributionKumho R&D CenterStructural Design Analysis Teamq Tread Slip AnalysisKumho R&D CenterStructural Design Analysis Team 7. Tire Explicit Dynamic Analysisn / n NVH .n Simulation item : Cleat impact, Cornering, Standing wave, Dry tractio
22、nLongitudinalVerticalCleat impact analysis modelTire force variation during cleat impact Kumho R&D CenterStructural Design Analysis Teamq Cleat Impact AnalysisKumho R&D CenterStructural Design Analysis Team Standing wave , Critical speed . 7. Tire Explicit Dynamic Analysisq Standing Wave Analysis (C
23、ritical Speed)Axle forceKumho R&D CenterStructural Design Analysis Teamq Standing Wave AnalysisKumho R&D CenterStructural Design Analysis Team ESCOT . ESCOT . ESCOT Excellent & Smart Contour Optimization Theory Escort . 8. Tire Shape Optimization AnalysisKumho R&D CenterStructural Design Analysis Te
24、am . Final Proto ESCOT-1 ( ) Kumho R&D CenterStructural Design Analysis Team . , .Proto Final ESCOT-2 ( ) Kumho R&D CenterStructural Design Analysis TeamFinal Proto , . ESCOT-3 . ESCOT-3 ( ) Kumho R&D CenterStructural Design Analysis Team 9. Tire Fracture Analysisn Global-Local n .n Simulation item
25、: Fatigue life in belt edge & carcass edge0Crack sizeTotal mileage Global analysisLocal analysisFatigue life)(1)(0ccGAGAdcNfmccmfoKumho R&D CenterStructural Design Analysis Team 10. Tire Uniformity Analysisn , , n Uniformity .n Simulation item : Low speed uniformity (RFV, LFV)InputSolvingOutput0 0Tire 1RFVForceTire uniformity simulation procedureKumho R&D Cent
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