轮胎结构设计

1、fem application on tire design锦湖轮胎锦湖轮胎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目录有限要素法有限要素法(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有限要素法定义有限要素法定义 equation of motion geom

2、etry (mesh) -. node -. element material property -. rubber : e, v -. cord : e, epi, angle boundary condition -. -. .00 xbtdiv 0lll : ll : af : flf),(3210ddd xxu)(312312332211, af ),(312312332211 xuddbasic elasticity有限要素法正式化有限要素法正式化du fukvsttdspudv21vsttdspudvd210vsttdspnudvbdb potential energy : vir

3、tual work :iunu nb final equation :1. tread2. carcass3. belt4. sidewall5. bead6. innerliner7. capply8. flipper9. apexcomplicated tire geometryperformance simulation system (kadas)powerful computing system (hp superdome)complex nonlinear features 轮胎结构说明特征轮胎结构说明特征几何学的非线性几何学的非线性 - large deformation)(21

4、ijjiijxuxul small strain ( x )l lagrangian strain ( o )(21jikkijjilijxxuuxuxu材料的非线形性材料的非线形性 - 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(cw经济条件的非线形性经济条件的非线形性 - contact & frictionl contact c

5、onditionl friction conditionhp friction constraint 0 (slip) penalty method contact constraint h0 p=0 (no pressure) h=0 p0 (contact pressure) lagrange multiplier methodcr区域区域s/wh/w用途用途结构设计结构设计catia v4 (2)ibm rs/6000 轮胎设计图形处理轮胎设计图形处理 mold 制作图形处理制作图形处理catia v5 (19)ibm z-procadot (in-house)ibm z-pro 统一统

6、一 cad 结构设计体系结构设计体系结构说明结构说明abaqus v6 (15)hp superdome 结构说明结构说明 fem solverideas v10 (6)hp b2600 结构说明结构说明 pre/post processingkadas (in-house)hp l3000 统一统一fem 结构说明体系结构说明体系流体说明流体说明msc.dytran (1)hp superdome 结构结构+流体说明流体说明 fvm solver流动说明流动说明polyflow (2)hp superdome 橡胶流动说明橡胶流动说明 fem solver东力学说明东力学说明msc.adam

7、s (1)ibm m-pro 动力学说明动力学说明 solver噪音说明噪音说明sysnoise (1)hp b2600 噪音说明噪音说明 bem solverkupas (in-house)ism z-pro 统一花纹性能预测体系统一花纹性能预测体系cad/cae 体系现况体系现况 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

8、语， 是缩短开发时 间，减少开发费用, 提高产品品质的技术。 kadas 定义定义 /mold/ /mold/ simulation kadas kadas wear & traction simulationwear & traction simulationnoise & vibration simulationnoise & vibration simulationdurability & rr simulationdurability & rr simulationride & handling simulationride & handling simulationdesign op

9、timizationdesign optimization 1 23tire onlysmooth tirestatic analysistire onlypattern tiresteady rollingtire+vehiclepattern tiretransient rollingstrain energyfootprint pressurespring ratetemperatureforce & momentfrictional energymodal frequencyhydroplaningdurability & rrride & handlingwear & tractio

10、nnoise & vibrationcad/ cae separationcae professionalscad/cae interfacefew engineerscad/cae integrationmost engineers 1995 2000 () 1(vector)2001 2006 () 2(smp)2007 2010 () 3(cluster) kadas kadas kumho automated design analysis system (kadas) 1. tire static analysis 2. steady rolling analysis 6. trea

11、d slip analysis 5. pattern tire analysis 4. modal dynamic analysis 3. tire thermal analysis11. aircraft tire analysis 8. shape optimization (escot) 7. explicit dynamic analysis 9. tire fracture analysis10. tire uniformity analysis12. manufacturing analysis 1. tire static analysisn .n simulation item

12、 : strain energy, footprint pressure, spring rate, cord tension, dimensiontire static analysis modelstrain distribution around tireq tire static analysis 2. tire thermal analysisn , .n simulation item : temperature, rolling resistancesin00whysterisis losshysterisis loss of rubbertemperature distribu

13、tion inside tireq tire thermal analysis 3. tire steady rolling analysisn .n simulation item : force & moment, strain energy, footprint pressure, spring rate, cord tension, dimensionlateral forcevertical forceinflation pressuretire rolling analysis modeltire deformed shapeq tire steady rolling analys

14、is 4. 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)q tire modal dynamic analysis 5. pattern tire rolling analysisn / , .n simulation item : force & m

15、oment, prat (plysteer residual aligning torque) frictional energy, footprint pressure (pattern tire) vertical loadrotationpressureslip angleforce & moment (prat) predictionq pattern tire rolling analysisa2a1lateral force (n)aligning torque (n-m)rcfpratlateral forcealigning torqueslip angleq pattern

16、tire analysis 6. tread slip analysisn . n simulation item : force & moment, prat, frictional energy, footprint pressure (pattern only)()(1kijkijkijkijnkijsyfysxfxwtread slip analysis model (tresa)frictional energy distributionq tread slip analysis 7. tire explicit dynamic analysisn / nvh .n simulati

17、on item : cleat impact, cornering, standing wave, dry tractionlongitudinalverticalcleat impact analysis modeltire force variation during cleat impact q cleat impact analysis standing wave , critical speed . 7. tire explicit dynamic analysisq standing wave analysis (critical speed)axle forceq standin

18、g 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 analysisn global-local .n simulation item : fatigue life in belt edge & carcass edge0crack sizetotal mileage global analysislocal analysisfatigue life)(1)(0ccgagadcnfmccmfo 10. tire uniformity analysisn , , uniformity .n simulation item : low speed uniformity (rfv, lfv)inputsolvingoutput0 0tire 1rfvforcetire uniformity simulation procedureq tire uni