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1 IFToMM 2007, The 12 th  World Congress in Mechanism and Machine Science June 17-21, Besançon, FRANCE Improving Skid-steering Fauroux / Vaslin / Douarre Improving skid-steering on a 6x6 all-terrain vehicle Philippe VASLIN [email protected] LIMOS / UBP Clermont-Ferrand, France Jean-Christophe FAUROUX [email protected] Guillaume DOUARRE LaMI / IFMA / UBP Clermont-Ferrand, France Laboratoire de Mécanique & Ingénieries KOKOON project www.kokoon.fr.st IFToMM 2007, The 12 th  World Congress in Mechanism and Machine Science June 17-21, Besançon, FRANCE A preliminary experimental study

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Page 1: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

1IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Improving skid-steering on a 6x6 all-terrain vehicle

Philippe [email protected] / UBPClermont-Ferrand, France

Jean-Christophe [email protected]

Guillaume DOUARRELaMI / IFMA / UBPClermont-Ferrand, France

Laboratoire deMécanique &Ingénieries

KOKOON projectwww.kokoon.fr.st

IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

A preliminary experimental

study

Page 2: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

2IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Introduction to the problem

Introduction

Vehicle

Experiment

Results

Two existing principles for steering a wheeled vehicle

Our purpose● To keep the robustness and mechanical

simplicity of skid-steering vehicles

● Trying to minimize the energy consumption of such vehicles during steering

Conclusion

Future work

● Ackermann steering● Skid-steering

A complex phenomenon, difficult to modelPreliminary experimental results to check consistency

● Evaluate the ripping forces● Try to minimize them...● ...by adjusting normal contact forces

Page 3: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

3IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Mobile crane, Liebherr 1500­8.1 6 steering axles out of 8

Ackermann steering

With N axles, (N-1) axles must steer at least

C

Mostly for hard ground

Ackermann (1817) / Jeantaud (1870)For wheeled vehicles that steer with minimal skid

Tricycle scooter, Piaggio MP3

Power lift truck, Manitou M26

Minimal skid vs. complexitySemi­trailer

1 steering axle out of 5 + 1R

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Ackermann

● Skid-steering

Mobile mortar, Patria NEMO

Page 4: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

4IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

For wheeled and tracked vehiclesMechanical simplicity (no steering mechanism, only suspension)

Skid-steering

Simplicity vs. turning resistance

CC

Wheels cannot roll laterally

Tracked tractor, Caterpillar D6R III

Amphibian ATV, Oasis LLC Max 6x6 Mobile robot, Pioneer 3 AT

AT wheelchair, Modul Evasion

Mostly for low friction / soft grounds Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Ackermann

● Skid-steering

Two versions of the same mobile mortarAckermann and Skid­steering tracked,

Patria AMOS

Page 5: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

5IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Overview of the 6x6 Kokoon vehicle

An ATW (All-Terrain Wheelchair)6x6 transmission and 2x1330W electric enginesOleo-pneumatic suspension on all wheelsClimbing capacity: 20cm obstacles, 36% slopesSpeed: 8 km/h Autonomy: 4h Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Overview

● Transmission

● Suspension

Designedat IFMA from 1999

Page 6: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

6IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Overview of the 6x6 Kokoon vehicle

Skid steering for robustness and all­terrain mobilityA reconfigurable vehicle A research platform with sensors

Controlled by joystick

Safetyharness

Rollbar

Independent oleo­pneumatic suspensions

6x6 all­terrain vehicle

2 DC electric engines of 1330W each

Lead batteries 24V 160Ah

Top caseor transporting platform

Sliding sport seat

Improved access: sliding seat

Transport position

Multiple functions

Research configuration with onboard camera, double 

acquisition laptop and suspension sensors

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Overview

● Transmission

● Suspension

Page 7: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

7IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Vehicle transmission

Belt transmission: 3 wheels at the same speedCompatible with suspension displacementsGood efficiencyClutching

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Overview

● Transmission

● Suspension

Page 8: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

8IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

● Track width = 93 cm● Wheel base = 47 cm

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Overview

● Transmission

● Suspension

6 Independent wheels

Trailing arm suspensions● Robust● Easy to adjust● Oleo-pneumatic

shock-absorber

Vehicle suspension

● Length = 175 cm● Width = 103 cm

175 cm

103 cm

47 cm

47 cm93 cm

● Wheel diam. = 40 cm● Wheel width = 7 cm

40cm

7 cm

Page 9: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

9IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

The force plate

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

Steady­state circular turningA force plate to measure contact reaction forces

● Rx  longitudinal force provided by the engines● Ry lateral force due to ripping● Rz normal force due to mass dispatching

Force plate

Ground

Circular trajectory

Z

X

Y● Turning

Page 10: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

10IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

The force plate

A six­component force plate (TSR, France)

Force measurement ranges: Rx: 1000N Ry: 900N Rz: 2000N

Force transducers

Base plate

Top plate

Groundlevel

Wooden box

80cm

60cm

3 two­component strain gauge transducers at 120°

Z

Y

X

3 normal components (Rz)3 tangential components (Rx­Ry)

Wooden box

Acquisition chain: 6 channels, 16 bits, 100Hz, Labview

F x

F y

F z

M x

M y

M z

=[C ] V 1

V 2

V 3

V 4

V 5

V 6

Wrench = 6x6 Calibration matrix x Tensions

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

● Turning

Page 11: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

11IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Mass dispatching

Centre of mass is computed with the CAD modelHypothesis : uniform density in each partEmpty mass: 367 kg

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

● Turning

Page 12: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

12IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Mass dispatching

Experimental measurement6 scales with the same height

Good correlation Experiment / CAD

Lifting rectangle

Central axle axis

Real CM

CAD CM

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

● Turning

Page 13: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

13IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Suspension reconfiguration

Reconfigurable suspension

● Reference configuration● Three identical suspensions

● Modified configuration● Differentiated suspensions

● Central suspension becomes more loaded

Reference dimensions

Fw

Fs

hs

vs

B

O S1

S2

θa

θs

C

l2

la

ls

z

x

e

● Adjustment with hs

● Initial hs = 145mm

● New hs = 045mm

Parameter Value

180 mm

145 mm

45 mm

210­280 mm

170 mm

350 mm

e 15 mm

vs

hs std

hs mod

ls

l2

la

● A new mass dispatching

108 kg 158 kg 183 kg

80 kg (­26%) 250 kg (+58%) 120 kg (­35%)

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

● Turning

● Includes a 83kg driver

Page 14: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

14IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Turning experiment

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Force plate

● Mass

● Suspensions

● Turning

Three types of trajectories for the external wheelsRadius R Infinite ( => straight line) 6m 3m

Acquisition at 100Hz is enough for low speed (around 4­5 kph)

Duration: from 1.5s (straight line) to 2.5s (3m turn)

Z

X

YR = 3m

R = 6m

Lines drawn with flour

Page 15: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

15IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

0 0,5 1 1,5 2

­500

0

500

1000

1500

2000

  Rx (N)

  Ry (N)

  Rz (N)

Time (s)

Reaction forces (N)

Standard suspension

Turn R = 6m

Typical curves

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Reference

● Modified

● COP

Curves of Rx, Ry, Rz are providedOne or two wheels on the force plate at the same timeFive zones appear on the time axis

● Curves

● Explanation

Wheel 1 Wheel 2 Wheel 3Wheels 1+2 Wheels 2+3

Average values on each zone (vibrations on gravel and electric perturbations)

Rz1 = 627N  Rz2 = 972N Rz3 = 905N (one side only)

● Wheels 2 and 3 prevail for Rz ­> confirms weight dispatching● Wheels 1 and 3 prevail for Ry and turning moment● Wheel 2 generates most of the traction force Rx (belt sliding ?)

Main results:

Page 16: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

16IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Results for reference vehicle

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Reference

● Modified

● COP

● Curves

● Explanation

0 0,5 1 1,5

 

 

 

Rx (N)

Ry (N)

Rz (N)

Time (s)

0 0,5 1 1,5 2

 

 

 

Time (s)

0 0,5 1 1,5 2 2,5

 

 

 

Time (s)

Reaction forces (N)Standard suspension

Turn R = 3m

2000

1500

1000

500

0

­500

2000

1500

1000

500

0

­500

2000

1500

1000

500

0

­500

Reaction forces (N)Standard suspension

Straight line

Rx

Rz

Ry

Rx

Rz

Ry

Rx

Rz

Ry

Wheel 1 Wheel 2 Wheel 3

Reaction forces (N)Standard suspension

Turn R = 6m

Wheels 1+2 Wheels 2+3

Influence of radius RRz does not changes with R

Ry is quasi null in straight lineRy increases when R decreases

Rx is quasi null in straight lineRx increases when R decreasesThis phenomenon was experienced by the driver

Page 17: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

17IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Reference

● Modified

● COP

● Curves

● Explanation

0 0,5 1 1,5

 

 

 

Time (s)

0 0,5 1 1,5

 

 

Time (s)

0 0,5 1 1,5

 

 

 

Time (s)

Reaction forces (N)Modified suspension

Straight line

2000

1500

1000

500

0

­500

Reaction forces (N)Modified suspension

Turn R = 3m

Reaction forces (N)Modified suspension

Turn R = 6m

Rx

Rz

Ry

Rx

Rz

Ry

Rx

Rz

Ry

2000

1500

1000

500

0

­500

2000

1500

1000

500

0

­500

0 0,5 1 1,5

 

 

 

Rx (N)

Ry (N)

Rz (N)

Time (s)

0 0,5 1 1,5 2

 

 

 

Time (s)

0 0,5 1 1,5 2 2,5

 

 

 

Time (s)

Reaction forces (N)Standard suspension

Turn R = 3m

2000

1500

1000

500

0

­500

2000

1500

1000

500

0

­500

2000

1500

1000

500

0

­500

Reaction forces (N)Standard suspension

Straight line

Rx

Rz

Ry

Rx

Rz

Ry

Rx

Rz

Ry

Wheel 1 Wheel 2 Wheel 3

Reaction forces (N)Standard suspension

Turn R = 6m

Wheels 1+2 Wheels 2+3

Results for modified vehicle

A 38% decrease of Rx on Wheel 2

A 36% decrease of Ry on Wheel 3

Turn is shorter on modified 

vehicle

Page 18: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

18IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Reference

● Modified

● COP

● Curves

● Explanation

Centre of pressure (COP)

 0

10

20

30

40

50

60

80706050403020100

X (cm)

Y (cm)

Goingstraight

TurnR=6m

TurnR=3m

COP = the point where the moment of contact wrench is nullPhases are visible (one or two wheels on the force plate) The COP follows circles => Trajectories were correct

Page 19: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

19IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Physical explanations

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

● Reference

● Modified

● COP

● Curves

● Explanation

Strong influence of mass dispatching on turning abilityAnalogy with the behaviour of a road tire 

Slipangle

Lateral force RY

RZ1

RZ2

RZ3

RZ1

 > RZ2

 > RZ3

s

sl

V3

X

Y

Circular trajectory of radius R

Force­platform

V1

V2s1 s3

● Lateral force Ry increases with normal force Rz● Lateral force Ry depends also on slip angle 

s

● Linear behaviour up to sl

● During skid­steering, two slip angles s1

 and s3

 appear on wheels 1 and 3

Page 20: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

20IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

ConclusionSkid-steering can be greatly improved......only by minor adjustments on the suspensions10cm adjustments only decreased normal force of 30% on front and rear axlesPropulsion forces decreased of 30% when steeringMulti-axles vehicles without steering systems are robust. They can now be efficient when skid-steering

Introduction

Vehicle

Experiment

Results

Conclusion

Future work

Page 21: Jean-Christophe FAUROUX Improving skid-steeringjc.fauroux.free.fr/PUB/ARTICLES/2007_IFToMM_Fauroux_Vaslin_Dou… · Mostly for low friction / Introduction soft grounds Vehicle Experiment

21IFToMM 2007, The 12th World Congress in Mechanism and Machine ScienceJune 17­21, Besançon, FRANCE

ImprovingSkid-steering

Fauroux / Vaslin / Douarre

Future work

Replace belts by chains to suppress slidingAdd 6 force sensors inside the wheels for continuous measurementBuild analytical modelTowards an active correction system

AcknowledgementANVAR : French

National Agency for Development of

Research

...and many more onwww.kokoon.fr.st

TIMS Research FederationMobility pole

MichelinCompany

3 Videos

TSR force sensor in a wheel

Introduction

Vehicle

Experiment

Results

Conclusion

Future work