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Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015 Page 1
testing procedure outside Michelin
Tyre 20154th InternationalTyre Colloquium
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Page 2
Index
1. Tametire model quick overview1.1. A bit of history : birth1.2. The origin : motivations1.3. The model : how it works1.4. Inputs & outputs
2. Model Validation2.1. NTRC validation2.2. On vehicle validation2.3. Conclusion
3. TameTire’s Future2.1. V3 new features2.2. Michelin vision
4. Questions/Discussion
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
TameTire Model Quick Overview
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
A bit of history
Situation during the F1 period.• Teams had Pacejka tyre models, that were insufficie nt for their needs.• Internal models at the time were not fast enough fo r vehicle dynamic
simulations.
McLaren feedback (2001): « tyre temperature is known to have a significant effect on tyre characteristics with maximum performance only available in a small temperature band. The current model (Pacejka), which is called by many of the simulations used to analyse car performance, takes no account of temperature effect. This is due to an inability to model the thermal behaviour of a tyre ».
As a consequence a new tyre model was created : TameTire = Therm al and Mechanical Tire Emulator
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
The Origin: early 2000
5
Motivation: limitations of the Pacejka formulae
• No thermal effects, although tire performance is strongly temperature dependent � Not able to predict tire performance for different track
designs� No tire transient mechanism modifying vehicle
performance and balance� Tire ranking not consistent with on-track ranking� Limitations in the prediction of vehicle set-up effects � Tire models very dependant on testing procedure
• No speed effect, although compound properties are frequency dependant � Limitation, especially for x and x-y combined conditions
Return
Go
Thermal effect:up to 30% difference
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
The model
Mechanical model Rubber properties Thermal model
Adherent part
Sliding part
δ
speed
rimcasing torsion
δ’
Friction coefficient
X
Contact temperature
contact patch
tread pattern
Rubber shear modulus G*
Tread rigidity
Internal temperature of the tread
FXFYMZ
Convection to air
Tread shearingInternal Heating
Belt bending
Tread depth thermal equation
Friction HeatConduction to the track
Contact model
O
X
YZ
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
The model : Scaling Factorstrajectory
rim
belt
Side slip angle
Twisting angle
λKxTread shearing and friction
λKy
λS2
λKT
λMu
λw
Belt bending
Casing torsion
λRR λKxx
λKyy
λKzz
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
�Angular velocity (w) & Speed (V)� or Slip Angle & Slip ratio � Camber angle (IA)� Vertical force (Fz)
�Tyre pressure (P)�Logitudinal speed (V)� Air temperature (Tair)� Ground temperature (Ttrack)� Surface and internal
temperature (TS & TI)� Time (t)
� Fx, Fy� Mz� Mx, My� Rolling Radius
� Loaded radius (RL)� Surface temperature (TS)� Internal temperature (TI)
Model outputModel input
Tyre +
Inputs & Outputs
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Model validation
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Model validation
Application of the following procedure to validate our model:
• Check TameTire testing procedure on a third party machine� Visit to NTRC (USA) to perform the TameTire testing procedure
on several passenger car tyres (Michelin & competitor tyres)
• On vehicle testing� Steady state� Braking
Page 10
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
NTRC Validation
TameTire vs Michelin’s measurement == TameTire vs NTR C measurement /!\
Page 11
Cornering Stiffness at cold temperatures
Fy @ 80kph & Z=6700N at intemediate temperatures
Transient @ 10kph at hot temperatures
@M
iche
lin@
NT
RC
-15 -10 -5 0 5 10 15-8000
-6000
-4000
-2000
0
2000
4000
6000
Slip angle (°)
Fy (N
)
load6677 speed80 km/h
Fy Measurement
Fy Model
-20 -15 -10 -5 0 5 10 15 20-8000
-6000
-4000
-2000
0
2000
4000
6000
8000
Slip angle (°)
Fy
(N)
load6724 speed80 km/h
Fy Measurement
Fy Model
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
NTRC Validation
Measurement vs model
Page 12
-1.5 -1 -0.5 0 0.5 1 1.5
x 104
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1x 10
4
Fx [N]
Fy
[N]
measurement
model
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
On vehicle results versus TameTire predictions
Once the flat-track vs model correlation is verifie d (Y, X and X-Y ) we proceed to on track testing with on vehicle measure ment
Equipment:• Vehicle : 308 110HP• 4 Kistler wheel force transducers• RT systems• 2 Lasers• GPS• Primacy 17”• Continental Sport Contact 17”
Manoeuvres:• Steady state manoeuvres
� Several laps at different speeds (65�85kph)
Simulation :• CarMaker 4.5 + MF5.2 (Primacy 17’’ & Sport Contact 17 ’’) vs• CarMaker 4.5 + TameTire (Primacy 17’’ & Sport Contact 17 ’’)
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Yaw speed [°°°°] Rack displacement [mm] Slip angle @ CDG [ °°°°]
Con
tiSpo
rtC
onta
ctP
rimac
y 3
On vehicle results versus TameTire simulations on C arMaker
Speed : 80 kph (Steady State)
0 0.2 0.4 0.6 0.8 10
5
10
15
20
25
Lateral acceleration [g]
Yaw
spe
ed [°
/s]
0 0.2 0.4 0.6 0.8 1-3
-2.5
-2
-1.5
-1
-0.5
0
Lateral acceleration [g]
Slip
ang
le @
CO
M (o
ffset
SA
(0g)
=0) [
°]
0 0.2 0.4 0.6 0.8 10
5
10
15
20
25
Lateral acceleration [g]
Yaw
spe
ed [°
/s]
0 0.2 0.4 0.6 0.8 1-3
-2.5
-2
-1.5
-1
-0.5
0
Lateral acceleration [g]
Slip
ang
le @
CO
M (o
ffset
SA
(0g)
=0) [
°]
0 0.2 0.4 0.6 0.8 1-0.005
0
0.005
0.01
0.015
0.02
0.025
0.03
Lateral acceleration [g]
Ra
ck d
ispl
acem
ent
[m]
0 0.2 0.4 0.6 0.8 1-0.005
0
0.005
0.01
0.015
0.02
0.025
0.03
Lateral acceleration [g]
Rac
k di
spla
cem
ent [
m]
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Slip angle @ Front Right [ °°°°] Slip angle @ Rear axle [ °°°°]C
ontiS
port
Con
tact
Prim
acy
3
On vehicle results versus TameTire simulations on C arMaker
Speed : 80 kph (Steady State)
0 0.2 0.4 0.6 0.8 1-14
-12
-10
-8
-6
-4
-2
0
Lateral acceleration [g]
Slip
ang
le @
Fro
nt ri
ght (
offs
et S
A(0
g)=0
) [°]
0 0.2 0.4 0.6 0.8 1-14
-12
-10
-8
-6
-4
-2
0
Lateral acceleration [g]
Slip
ang
le @
Fro
nt ri
ght (
offs
et S
A(0
g)=0
) [°]
0 0.2 0.4 0.6 0.8 1-5
-4.5
-4
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
0
Lateral acceleration [g]
Slip
ang
le a
t rea
r axl
e (o
ffset
SA
(0g)
=0) [
°]
0 0.2 0.4 0.6 0.8 1-5
-4.5
-4
-3.5
-3
-2.5
-2
-1.5
-1
-0.5
0
Lateral acceleration [g]
Slip
ang
le a
t rea
r axl
e (o
ffset
SA
(0g)
=0) [
°]
TameTire is overall better correlatedto measurement than MF5.2
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Model validation
Pure tyre validation ���� successfully achieved
� On vehicle validation vs simulation
• Steady state: ���� successfully achieved� On vehicle testing vs total vehicle simulation on
CarMaker
• Braking:� No precise braking model at our disposal ���� braking with
a trailer
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Braking tests with a trailer
Braking tests performed on Michelin’s test trailer on a 245 / 35 R 20 Pilot Alpin 4
The braking force Fx is controlled until the desired maximum slip ratio (~50%) is reached
To increase the clarity of the following graphs a P acejka fit is performed on the experimental data
Tyre being tested
Trailer with hydraulic brake discs
Test planEffect Range
Inflation pressure {1.5 ; 2.5 ; 3.5} bar
Tread thickness {1.6 ; 8} mm
Tyre temperature 30 -> 125°C
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Braking with TameTire
Temperature effect on braking
0 5 10 15 20 25 300
0.5
1
1.5
Slip Ratio (%)
Fric
tion
coef
ficie
nt m
u
Winter tyre: temperature effect
115°C simu TMTE
35°C simu TMTE115°C mesure
35°C mesureTi = 115°°°°C
Ti = 35°°°°C
115°C simu TMTE
35°C simu TMTE115°C mesure
35°C mesure
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Braking with TameTire
Pressure effect on braking
0 5 10 15 20 25 300
0.5
1
1.5
Slip Ratio (%)
Fric
tion
coef
ficie
nt m
u
Winter tyre: inflation pressure effect
1.5bar simu TMTE2.5 bar simu TMTE
3.5 bar simu TMTE
1.5bar mesure
2.5bar mesure3.5bar mesure
P = 1,5b
P = 2,5b
P = 3,5b
1.5bar simu TMTE2.5 bar simu TMTE
3.5 bar simu TMTE
1.5bar mesure
2.5bar mesure3.5bar mesure
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Braking with TameTire
Sculpture height on braking
0 5 10 15 20 25 300
0.5
1
1.5
Slip Ratio (%)
Fric
tion
coef
ficie
nt m
u
Winter tyre: tread depth effect
8mm TMTE
1,6mm TMTE8mm mesure
1,6mm mesure
Hs = new tyre
Hs = 1,6 mm
8mm TMTE
1,6mm TMTE8mm mesure
1,6mm mesure
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Another example of SF wear
Page 21
0 5 10 15 20 25 30 35 40 45-2000
-1500
-1000
-500
0
500
1000
1500
2000
2500
3000
Time [s]
Fy
[N]
Measurement
With SF wearWithout SF wear
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Model Validation : Conclusion
Through a pure Y measurement we obtain a tyre model that is valid for X, Y and X - Y data.
The TameTire model allows for physical tyre sensitivi ty studies (���� Scaling Factors).• What type of tyre do I need to achieve a given F&M?
TameTire is also a model that allows vehicle dynamic s tunning.• Impact of tyre evolution on vehicle dynamics• What type of tyre do I need to meet a/several vehicl e dynamics
metrics (SS, Gain for Transient State)?
TameTire is also a model that allows vehicle dynamic s tunning. • Tunning braking systems
Page 22
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
TameTire’s Future
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
V3 new features
TameTire 3.0 has been successfully integrated intoCarMaker 4.5 and newer versions
TameTire 3.0 is ~ 30% faster than TameTire 2.2
Better compatibility with Real-Time simulator
Page 24
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
V3 new features: an improved RR model
Page 25
Integration of a new rolling resistance model based on the ISO 28580 indoor test
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
V3 new features : Increased database
Page 26
Brand Tyre Line Size
Michelin PSS 235/35 ZR19
Michelin PSS 295/30 ZR19
Michelin P. Sport 2 235/35 ZR19
Michelin P. Sport 2 295/30 ZR19
Michelin Lat. Tour HP 255/55 R18
Michelin Lat. Sport 255/55 R18
Michelin Lat. Alpin 255/55 R18
Michelin Lat. Sport 3 255/55 R18
Brand Tyre Line Size
Michelin P. Sport 3 225/45 R17
Michelin P. Sport 2 225/45 R17
Michelin P. HP 225/45 R17
BFGoodrich G Grip* 225/45 R17
Michelin Alpin 5 225/45 R17
Michelin P. Alpin 225/45 R17
Michelin Primacy 3 ST (AS)
225/45 R17
Michelin Primacy 3 (EU)
225/45 R17
Continental Conti Sport Contact
225/45 R17
Bridgestone TuranzaER300
225/45 R17
Bridgestone Potenza S001 225/45 R17
Brand Tyre Line Size
Michelin Primacy HP 205/55 R16
Michelin Energy Saver 205/55 R16
Michelin Energy Saver+ 205/55 R16
Michelin Primacy Alpin 205/55 R16
Michelin Alpin 5 205/55 R16
BFGoodrich G-grip* 205/55 R16
Michelin E. Saver 195/65 R15
Michelin E. Saver + 195/65 R15
Michelin Alpin 3 195/65 R15
Michelin Alpin 5 195/65 R15
Kleber Dynaxer HP3 195/65 R15
Michelin E. Saver 175/65 R14
Michelin E. Saver + 175/65 R14
Increased/upgraded database withcompetitor tyres
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Michelin’s vision for TameTire
Our answer for Tire Modeling: TameTire• Regularly used within Michelin for Tire Development• Used outside Michelin for :
� Vehicle dynamics simulations� Virtual chassis design and set-up, virtual development loops� HIL and Driving simulators (driver in the loop)
• Key advantages� Physically based real time model with thermal dependancy� Competitive/Robust tools around TameTire modelling :
• Virtual Scaling Factors
• Real Tire characterization process is robust
• Representative tire database available
� Customer Oriented Model• Integration of customer needs for future developments
• Measurement process for tire characterization successfully tested on external machine (NTRC)
� Easily integrated into different softwares and OS• CarMaker, CarSim, Rfactor, LapTime sofwares, Matlab…• Windows & Linux 32 or 64 bits.
Page 27
Tyre 2015 Auteur/Sce : M.Grob Classification: D4 Conservation :YC+3 Date de création : 19/04/2015
Michelin’s vision for TameTire
TameTire is opened towards our customers• Efficient Customer Support : Strong IPG-Michelin partnership
� IPG Customer support for Licencing and technical implementation� Michelin Customer support for Physical and Numerical implementation� Strong reactivity and technical competencies
Continuous Improvement & Progress Strategy• A living model , periodically updated• Merging multiple tire performances models
� XY-Forces and Torques, steady-state and transient, Rolling Resistance� TPMS (Rolling Radius, evtl. Eigenmodes in the future…)
• New features added regularly � Enhanced thermal model� Pressure = f (temperature)� Integrability for different environements (simulators, HIL benches…)� Fstudent database
Page 28