SlideShare a Scribd company logo
1 of 8
Download to read offline
SASTECH Journal 11 Volume 9, Issue 2, September 2010
EFFECT OF WHEEL GEOMETRY PARAMETERS ON
VEHICLE STEERING
R. P. Rajvardhan1
, S. R. Shankapal2
, S. M. Vijaykumar3
1
Student, M. Sc. [Engg.], 2
Director, 3
Keywords: Vehicle Dynamics, Steering Geometry, Steering Drift, Vehicle Pull
Assistant Professor
M.S. Ramaiah School of Advanced Studies, Bangalore 560 054
Abstract
In modern era, steerability and handling characteristics of the vehicle have become major aspects. Providing comfort
to the driver by reducing steering effort without any compromise in steerability and handling of the vehicle is a major
concern for automakers. Evaluating handling and steering characteristics of a vehicle in a virtual environment with the
help of multi-body system packages saves product development time and cost. The main intention is to improve the
steerability and handling of the vehicle by avoiding the steering pull and wheel wandering problems.
As per the specification of the selected vehicle Honda CR-V, a multi-body model of the SUV was built in
ADAMS/CAR software. The SUV model was validated by comparing simulation results with the standard graphs from
literature. Using this model, manoeuvres for different values of wheel geometry parameters, were simulated. The steering
effort, steering wheel returnability and the lateral forces produced by the tires were obtained in order to predict the
behaviour of the vehicle for different wheel geometry parameters.
It can be seen from the results that positive caster angles improve the steering wheel returnability but increase the
steering effort. Negative caster angles reduce the steering effort but create wheel wandering problems. Higher Steering
Axle Inclination (SAI) angles help in improving the steering wheel returnability and decreasing the steering effort as well.
Negative camber angles help in producing higher lateral forces to improve the cornerability of the vehicle. Toe-in angles
help in improving the straight-line stability where as toe-out angles help in improving the cornering. Negative scrub
radius seem to have stabilising effect on vehicle handling.
Nomenclature
F Force, N
K Stiffness, N/m
R Turning radius, m
W Weight, kg
δ Steering angle, degrees
Abbreviations
CG Center of Gravity
CRC Constant Radius Cornering
DOF Degrees of Freedom
KPIA Kingpin Inclination Angle
SAI Steering Axis Inclination
SLC Single Lane Change
1. INTRODUCTION
1.1 Introduction to Vehicle Dynamics of a SUV
Vehicle dynamics is the study concerned with the
motion of vehicles on a road surface. The dynamic
behaviour of a vehicle is determined by various kinds of
forces, such as gravitational force, aerodynamic force
and forces coming from the tires, acting on the vehicle.
Vehicle dynamics constitutes the detailed study of all
these forces imposed and their effect on stability and
handling of the vehicle. For that purpose, approach used
is to create approximate vehicle model and simulating
different straight line course and cornering conditions in
virtual environment for detailed study of the parameters
contributing to handling and stability of the vehicle.
Steering response, which plays an important role in
the manoeuvrability and handling of the vehicle, is one
of the important tasks in vehicle dynamics. Wheel
geometry and tire behaviour are two major factors
which aid thorough understanding of the vehicle
steering. Tire is the primary source of different forces
and moments which govern the control and stability of
the vehicle. Interaction between tires and road generates
tractive, braking and cornering forces for manoeuvring.
Hence, proper alignment of the wheels help in achieving
better grip and handling of the vehicle.
1.2 Wheel Geometry Parameters Affecting Vehicle
Steering
Wheel geometry is an important aspect which
contributes a lot to the steerability of a vehicle. Even a
slightest misalignment creates problems like steering
pull and vehicle drift. The wheel geometry parameters
that affect the steerability of the vehicle are camber,
caster, Steering Axis Inclination (SAI), scrub radius and
toe.
Skip Essma has [1] discussed the methods used in
evaluating and modifying steering effort for a cart series
champ car racing on oval track. It was found that
halving the camber reduced the steering effort by 30%
but there was reduction in the peak lateral force
capability also. Reduction in design trail also reduced
the steering effort but resulted in wheel wandering
problems. Hence, it was concluded that most of the
design changes require trade-offs to maintain perfect
balance.
Younggun Cho and Unkoo Lee [2] discussed
steering kickback and its effect on driver comfort. The
study focused on the contribution of external force and
inertial force responsible for the steering kickback when
the vehicle approaches a bump. Initially front mount
point of lower arm in the suspension system was raised
as a remedy for the kickback. This showed 5%
reduction in kickback. Further, the brake-caliper was
moved from front to rear side of the wheel center. This
produced inertial moment acting opposite to unbalanced
SASTECH Journal 12 Volume 9, Issue 2, September 2010
moment producing kick-back. This design change
reduced kick-back by 8%.
Klaps and Day [3] investigated the causes for
steering drift during straight-line braking. Different
static and dynamic tests were carried out to find out the
variation in the wheel alignment during braking. It was
observed that the caster angle became slightly negative
and aligning torque started acting in opposite direction
due to suspension compression during braking. Also,
suspension compression altered the steering offset and
was different at both the sides. The difference in the
steering offset at both the side created imbalance
because of the difference in steering arm forces
generated. These factors were found to be the sole
factors responsible for drift in the vehicle during
braking.
Sang-Hyun Oh et al [4] studied the parameters
responsible for vehicle pull mechanism. Their work
concentrated on PRAT (Ply-steer Residual Aligning
Torque), VRAT (Vehicle Residual Aligning Torque),
cross camber, cross caster and road crown. It was seen
that the reduction in cross camber and cross caster
values resulted in reduction in steering pull. According
to the authors, collaboration between vehicle and tire
manufacturers is necessary in order to match the
characteristics of the vehicle and the tires. VRAT is
usually designed according to the road crown, and
PRAT has to be properly produced by adjusting the tire
design in order to suit VRAT.
Marcelo Prado et al [5] have described the
procedure for modelling, testing and validation of a bus.
The tests carried out were ISO lane change at 80 km/h
and sweep steer test at 40 km/h. For comparison, only
steering wheel angle, lateral acceleration, and yaw rate
were selected. In all the cases, a close correlation was
found between the experimental results and simulation
results.
March and Shim [6] developed an integrated
control system of active front control and normal force
control to enhance vehicle handling. Fuzzy reasoning
was used in the integration of the control systems for
achieving better handling performance. The developed
yaw rate control system automatically adjusts the
normal force and the additional steering angle to
achieve the desired yaw rate. Integration of normal
force control and active front steering system showed
better handling.
Ragnar Ledesma and Shan Shih [7] studied the
effect of Kingpin Inclination Angle (KPIA) and wheel
offset on vehicle performance metrics such as steering
effort, vehicle handling and steering system vibration.
Kingpin inclination was varied from 6.25° to 9.25° and
wheel offset was varied from 63.5 mm (2.5 in) to 114.3
mm (4.5 in) in order to study the variation in
performance metrics. The results obtained were
summarised and listed in a table to observe the impact
of design changes on total vehicle performance. Table 1,
shows the summary of other performance metrics and
contributing factors.
Renuka Avachat et al [8] developed a methodology
for improving steering wheel returnability. Instead of
altering the steering geometry of the vehicle,
investigation was carried out to find the reasons for
frictional resistance. It was found that the losses in
steering universal joint, intermediate bearing and
clamping bush cause the frictional resistance. The
bearing design was improved, greasing procedure was
implemented in the manufacturing process and the
central support bush alignment procedure was
implemented with respect to column and bracket in
order to reduce frictional resistance.
Table 1. Summary of vehicle performance
metrics [7]
Scenario
Performance
Metric
Major
Contri-
buting
Factor
Max. %
change
from
reference
High turn
angle
Camber angle
change
KPIA 32%
Steady State
Cornering
Tire slip angle KPIA 3%
Steady State
Cornering
Lateral
stability
KPIA 0%
Steady State
Cornering
Steering effort KPIA 7%
Driver side
bump
Steering
vibration
Wheel offset 27%
Rough road
Steering
vibration
Wheel offset 33%
Side force
disturbance
Directional
stability
Wheel offset 4%
Constant- µ
braking
Directional
stability
Wheel offset 5%
Split-µ
braking
Directional
stability
Scrub radius 10%
Braking in
turn
Directional
stability
Scrub radius 2%
Braking in
turn
Steering effort Scrub radius 4%
Implementation of all the corrective actions, not
only improved steering returnability by 40% but also
helped in reducing the cycle time in design and
validation by 80%.
Wade Allen et al [9] have discussed the effect of
inertial properties on vehicle handling stability. In this
study, carried out on small and medium sized SUVs, at
high speeds, the yaw rates were seen to be more in case
of small SUVs compared to medium sized SUVs. The
authors concluded that the inertial properties are
strongly correlated with the length, width and the height
of the vehicle. And these inertial properties affect the
handling and stability of the vehicle. Smaller vehicles
respond more quickly and hence they cannot be
controlled easily in emergency manoeuvres. It has been
also concluded that small vehicles tip-up more quickly
due to their small ratio of roll moment of inertia to
mass.
Klaus Rompe and Edmund Donges [10]
investigated variation of handling characteristics of 15
of today’s passenger cars. They found that the driving
conditions become more difficult when the vehicles
approach their handling limits in the tests like power-off
and braking during cornering. It was also observed that
handling characteristic of only a few vehicles was
affected by changes in loading conditions. Other
SASTECH Journal 13 Volume 9, Issue 2, September 2010
vehicles retained their handling characteristics for
different loading and for different test procedures.
2. PROBLEM DEFINITION
Based on the literature survey, various problems
related to steering, like steerability under limit handling
condition, steering drift because of improper alignment,
have be identified. The work reported in this paper
concerns the effect of different wheel parameters on
steerability and development of a computer model and
carrying out virtual simulations to study the effect of
different wheel geometry parameters on vehicle
steering.
3. MODELING OF SUV IN ADAMS/CAR
To study the behaviour of an SUV for different
wheel geometry parameter, a multi-body model of
Honda-CRV, the vehicle selected for this study, was
built in ADAMS/CAR. Different sub-systems of an
SUV, such as suspension system, steering system,
wheels, brakes and chassis were built according to the
specification and assembled together to carry out the
simulations. The data used to build the model is shown
in the Table 2.
Table 2. Specification of the selected SUV
Front suspension Macpherson strut
Rear suspension Double Wishbone
Steering system Rack and pinion type
Brakes Four wheel Disc
brakes
Tire size 225/65 R 17 102 T
Wheel Base 2620 mm
Track Width 1565 mm
CG Location (X, Y, Z) 1180, 0, 650 mm
Kerb Weight 1565 mm
Weight Distribution(%,
Front/Rear)
58/42
Turning radius 5.54 m
Three major steps involved in the construction of
multi-body model of SUV are
• Creation of templates
• Creation of sub-systems
• Creation of full vehicle assembly
3.1 Creation of Templates
In the simulation software, a template is the basic
level multi-body model that contains the geometry and
topological data. Template defines the geometric parts,
joints (to enable the connection between different
geometric parts), forces and other modelling elements
that constitute an aggregate sub-assembly of a vehicle.
It also includes how the parts connect together through
the joints and how the force will be transmitted from
one part to another and so on. The template also
contains communicators to achieve the communication
between different sub-assemblies of the vehicle.
To create the simulation model of the selected
SUV, the coordinates of hard points were changed to
match those in the selected vehicle. Similarly, the
templates of steering, front and rear suspension, front
and rear wheels, powertrain and brakes were modified
according to the specification of selected SUV and
saved in the database.
3.2 Creation of Subsystems
A subsystem is a mechanical model which
references the template and tailors it by supplying the
parameters, including properties of the components like
spring, tire etc. Subsystems also allow new point
positions can be defined. The respective templates from
the database were imported and all the subsystems
required for the SUV were created.
3.3 Full-Vehicle Assembly
To create the full vehicle model, the subsystems
were imported in a single environment and assembled
properly.
Fig. 1 Full vehicle assembly
SASTECH Journal 14 Volume 9, Issue 2, September 2010
After assembling, the subsystems were translated
from the default positions to suit the parameters such as
wheelbase and other vehicle specification. Figure 1
shows the full vehicle assembly of Honda-CRV
consisting of the following subsystems
• Front suspension subsystem
• Rear suspension subsystem
• Steering subsystem
• Front wheel subsystem
• Rear wheel subsystem
• Body subsystem
• Brake subsystem
• Powertrain subsystem
4. RESULTS AND DISCUSSIONS
The SUV modelled in ADAMS/CAR was used to
study the steering wheel returnability, steering effort
and other steering related parameters in a SLC test with
vehicle speed of 80 km/h. For lane change, steering
angle of 20° was given as an input to steering wheel.
Simulations of this test for different wheel geometry
parameters were carried out to study their effect on
steering effort, handling behaviour and steering wheel
returnability.
4.1 Effect of Caster Angles on Vehicle Behaviour
Figure 2 shows the variation of pinion torque
acting at the pinion of rack and pinion steering system
for different values of caster angles. The caster angle
was varied from +5° to -5° to observe its effect on the
variation of steering effort. It can be seen that the torque
acting at the pinion, a measure of steering effort, is
lower for negative caster angle and increases as the
caster angle is changed from maximum negative to
maximum positive.
Fig. 2 Time variation of pinion torque for
different caster angles
A completely reverse trend is observed for aligning
torque. Aligning torque, a moment generated at the
road-tire interface, tends to align the wheels back to the
straight ahead position without any effort from the
driver. This is higher for positive caster and decreases as
the caster angle reduces to zero and goes to negative
(Fig. 3). Higher aligning torque aids steering
returnability.
Fig. 3 Time variation of aligning torque for
different caster angles
For negative caster angles, the aligning torque,
instead of trying to push the wheels to straight ahead
position, pushes the wheels farther away from it. This
destabilises the wheel path, giving rise to wheel
wandering problems. Hence, it is preferred to have
positive caster angles.
Fig. 4 Time variation of steering assistance
angle for different caster angles
Figure 4 shows the variation of steering assistance
angle, a measure of returnability of the steering wheel
back to its initial position after the lane changeover,
with caster angle. After changing the lane the steering
angle remains constant as the vehicle starts moving in
the straight path.
Fig. 5 Time variation of steering assistance
angle for different caster angles
Details of the variation in the encircled area is
shown in Fig. 5. It can be seen that a vehicle with
positive caster angle of 5° returns back to the initial
position faster than vehicles with lower positive or
SASTECH Journal 15 Volume 9, Issue 2, September 2010
negative camber. This observation corroborates the
variation of self-aligning torque shown in Fig. 3.
4.2 Effect of SAI Angles on Vehicle Behaviour
Figure 6 shows the variation of the torque acting at
the pinion for different values of SAI angles in an SLC
manoeuvre. The SAI angle is varied from +10° to +15°
to observe the variation of steering effort. From the
results it can be observed that the torque acting at the
pinion, and hence, driver’s effort to steer, decreases
with increasing SAI angle.
Fig. 6 Time variation of pinion torque for
different SAI angles
Fig. 7 Time variation of aligning torque for
different SAI angles
Fig. 8 Time variation of steering assistance
angle for different SAI angles
Figure 7 shows the variation of aligning torque for
different SAI angles. The aligning torque about the
steering axis is higher for 10° SAI the angle and
decreases as the SAI angle increases. This pattern of
variation is because as SAI angle increases the lateral
forces at tires increase. With moment arm remaining the
same, this results in increase in aligning torque. Higher
aligning torque improves steering returnability and the
wheels align to straight ahead position faster.
Figure 8 shows the variation of steering assistance
angle for different SAI angles for an SLC manoeuvre.
After changing the lane the steering angle remains
constant as the vehicle starts moving in the straight path.
Details of the variation in the encircled area is
shown in Fig. 9. There, it can be seen that a vehicle
with SAI angle of 15° returns back to the initial position
faster than venicles with lower SAI angle. This
observation corroborates the variation of self-aligning
torque shown in Fig. 7.
Another way to interpret this result is as follows.
SAI angle causes the front end of the car to rise as the
wheels are steered. This lifting increases steering
returnability. Larger the SAI angle, more is the lift, and
more is the self-centring effect, as seen from Figure 9.
Fig. 9 Time variation of steering assistance
angle for different SAI angles
4.3 Effect of Toe Angles on Vehicle Behaviour
Figure 10 shows the lateral forces acting at the tires
for different toe-in angles in an SLC manoeuvre. In this
case, the lateral force increases with the increase in toe-
in angles but the range of variation of the force
decreases. The variation of lateral force is more for zero
toe-in (~3500 N) compared to when the toe-in is 3°
(~700 N). Since larger variation indicates better steering
response, vehicles with higher toe-in will have more
tendency to understeer. However, with increasing
steering response comes the tendency of the vehicle to
enter a turn. This compromises the straight line stability
of the vehicle. So, even though non-zero toe-in vehicles
have steering response inferior to zero toe-in vehicles,
some toe-in must be kept to ensure straight line stability.
Figure 11 shows the lateral forces acting at the tires
for different toe-out angles in an SLC manoeuvre.
Unlike the case of toe-in angle, for toe-out angle the
range of variation of force is not much different for
different toe-out angles. For zero toe-out case, it is
about 3150 N and for 3° toe-out it is about 3300 N. This
will result in good steering response. The vehicle will
have a tendency to exhibit neutral steer characteristics.
It will have good corenerability because of its tendency
to enter a turn but at the expense of straight line
stability.
SASTECH Journal 16 Volume 9, Issue 2, September 2010
Fig. 10 Lateral forces for different toe-in angles
For vehicles with toe-out, the slip angle is less for
zero toe-out angle and increases with the increasing toe-
out angles (Fig. 12). This is an undesirable situation as
higher slip angle will result in more sliding, and hence
more wear, of the tire.
Fig. 11 Lateral forces for different toe-out
angles
Fig. 12 Slip angles for different toe-out angles
4.4 Effect of Camber Angles on Vehicle Behaviour
Constant Radius Cornering (CRC) simulations, for
different camber angles, were carried out to study the
effect of camber thrust and slip angles on handling
behaviour of a vehicle and tire wear. For this study,
vehicle travelling at 20 km/h initially and gradually
accelerating to 80 km/h on circular test track of 3.5
meters radius was simulated. The camber angle was
varied from 0° to ±4° in steps of ±1°.
Figure 13 shows the variation of lateral forces in
CRC test for different positive camber angles. Lateral
forces decrease as the camber angle increases because
of higher camber thrust produced by the positive camber
angles.
Fig. 13 Time variation of lateral force for
positive camber angles
Reduction in the net lateral force at the tires
increases vehicle’s tendency to understeer. To reduce
this tendency, lower positive camber should be used.
Fig. 14 Time variation of lateral force for
negative camber angles
Variation of lateral forces for different values of
negative camber angles in a CRC test is shown in
Fig. 14. Unlike for the positive camber, in this case, the
lateral force increases with the increase of absolute
value of the camber as camber thrust adds to the other
dynamic loads produced during cornering. Hence,
higher negative camber will provide better cornering
characteristics and manoeuverability.
Fig. 15 Variation of lateral force with respect to
slip angle for different camber angles
SASTECH Journal 17 Volume 9, Issue 2, September 2010
Figure 15 shows the variation of lateral force as a
function of slip angle for different values of camber
angles in a CRC test simulation. The maximum lateral
force increases as the camber increases from negative to
zero to positive. From Fig. 15, it is also seen that the
slip angle produced by positive camber is highest and
reduces as camber reduces to zero and then goes to
negative. This explains why wheels with positive
cambers wear out faster. Generally a negative camber is
preferred as it provides better cornering and
manoeuvrability and also less slip and tire wear.
4.5 Simulation of the Vehicle Going Over Hump to
Study the Effect of Scrub Radius
In order to study the effect of scrub radius on the
stability of a vehicle, the vehicle moving at 40 km/h
going over a hump was simulated and the result,
steering kickback, was analysed. The analysis was
repeated for different scrub radii, and the results were
compared to assess the stability of the vehicle.
Fig. 16 Time variation of steering assistance
angle for different scrub radii
Figure 16 shows the time variation of steering
assistance angle for three different, positive, zero and
negative, values of scrub radii. Few peaks in steering
assistance angle, which indicate steering disturbance
caused when the vehicle moves over a hump, can be
seen in Fig. 16.
Fig. 17 Time variation of steering assistance
angle for different scrub radii
To provide more details of the variation in that
region, enlarged view of the encircled portion in Fig. 16
is shown in Fig. 17. Most severe steering disturbance –
steering kickback, is observed for positive scrub radius
of 30 mm. The peak value comes down as scrub radius
reduces to zero and then changes to -30 mm.
Physically, when the vehicle hits the hump, the
force acting on the wheels from the hump produces
steering torque proportional to the scrub radius. To
counteract this unbalanced steering torque, the driver
has to apply steering correction to keep the vehicle
moving in straight direction. For zero scrub radius
unbalanced steering torque is eliminated, but the driver
loses the feel of steering. Hence it is preferred to have
negative scrub radius.
Fig. 18 Time variation of steering assistance
angle for different scrub radii
4.6 Simulation of Brake-in-turn Analysis to Study
the Effect Scrub Radius
In brake-in-turn analysis, the vehicle was made to
run on the circular test track of 3.5 m radius with lateral
acceleration of 0.35 g and then the brakes were applied.
Through brakes, 3 g deceleration was applied to the
wheels for a period of 2 sec to stop the vehicle.
Figure 18 shows the plot of time variation of
steering angle for three different, positive, zero and
negative, values of scrub radii. The steering input used
is to maintain the vehicle on course on road after the
brakes are applied.
Fig. 19 Time variation of steering assistance
angle for different Scrub radii
To provide more details of the steering input,
enlarged view of the encircled portion in Fig. 18 is
shown in Fig.19. It shows that when scrub radius is
positive, maximum steering input is required to keep the
vehicle on course. This effort is less for zero and
negative scrub radii, but only marginally. This means
the unbalanced steering torque produced is less for the
negative scrub radius during braking. Hence, the
steering input given by the driver to maintain the
vehicle on desired path is also less. Therefore, negative
scrub radius is preferable. Though the zero scrub radius
SASTECH Journal 18 Volume 9, Issue 2, September 2010
produces least steering disturbance, it is not preferred
because the driver will not have the steering feel.
5. CONCLUSIONS
Based on the simulation results of SUV for
different values of wheel geometry parameters, the
following conclusions are drawn:
• Increasing positive caster angle increases the
mechanical trail, and this trail increases the self
aligning torque which improves the steering wheel
returnability. As the self-aligning torque acts in the
direction opposite to the steering torque, the
steering effort of the driver increases.
• Negative caster angle reduces the steering effort
due to the absence of sufficient aligning torque, but
it leads to the wheel wandering problem.
• Higher Steering Axis Inclination (SAI) angle
improves the steering wheel returnability and
reduces the steering effort as well.
• Positive camber angle reduces the net lateral force
generated at the tires because of the counter-acting
camber thrust and hence increases the tendency of
a vehicle to exhibit understeer characteristics.
• Negative camber angle increases the net lateral
force at the tires, the camber thrust acts in the same
direction as the tire lateral force. Hence, the
negative camber angle increases the handling
behaviour of the vehicle and enables sharp
cornering.
• Toe-in increases the straight-line stability by
sacrificing sharp cornering ability.
• Toe-out increases the cornerabilty of the vehicle at
the cost of straight line stability.
• Though the zero scrub radius eliminates the
generation of unbalanced steering torque, it is not
preferred. The driver loses the steering feel if the
scrub radius is zero.
• Negative scrub radius produces less steering
disturbance and has a stabilising effect.
6. REFERENCES
[1] Skip Essma, Steering Effort Analysis of an Oval
Racing Track Setup Champ Car, International
ADAMS User Conference, 2002.
[2] Younggun Cho and Unkoo Lee, Simulation of
Steering Kickback Using Component Load Method,
SAE technical paper series, Paper number 2004-
01-1097.
[3] J Klaps and A J Day, Steering drift and wheel
movement during braking static and dynamic
measurements, DOI: 10.1243/095440705X5975,
2004.
[4] Sang-Hyun Oh, Young-Hee Cho and Gwanghun
Gim, Identification of a Vehicle Pull Mechanism,
FISITA World Automotive Congress, 2004.
[5] Marcelo Prado, Rodivaldo H. Cunha and Alvaro C.
Neto, Bus Handling Validation and Analysis Using
ADAMS/CAR, Debis humaita IT Services Ltd,
2005.
[6] C March and T Shim, Integrated Control of
Suspension and Front Steering to Enhance Vehicle,
Date published: 11 December 2006
[7] Ragnar Ledesma and Shan Shih. 2001, The Effect
of Kingpin Inclination angle and Wheel Offset on
Medium-Duty Truck Handling, SAE technical
paper series, Paper number 2001-01-2732.
[8] Renuka Avachat, J. S. Mahajan and K.
Gopalakrishna., Development of methodology for
Improvement in Steering Returnability, SAE
technical paper series, Paper number 2008-01-
0494.
[9] R. Wade Allen, David H. Klyde, Theodore J.
Rosenthal and David M. Smith, Estimation of
Passenger Vehicle Inertial Properties and Their
Effect on Stability and Handling, SAE technical
paper series, ISSN 0148-7191, 2003.
[10] Klaus Rompe and Edmund Donges, Variation
Ranges for the Handling Characteristics of
Today’s Passenger Cars, SAE Inc, 1985.

More Related Content

What's hot

presentation on car for SUPRA event
presentation on car for SUPRA eventpresentation on car for SUPRA event
presentation on car for SUPRA eventSandeep Mishra
 
Formula SAE vehicle
Formula SAE vehicleFormula SAE vehicle
Formula SAE vehicleAltair
 
Baja project 2010 report by bangalore institue of tech
Baja project 2010 report by bangalore institue of techBaja project 2010 report by bangalore institue of tech
Baja project 2010 report by bangalore institue of techKapil Singh
 
Design optimization of a roll cage of a sae baja car
Design optimization of a roll cage of a sae baja carDesign optimization of a roll cage of a sae baja car
Design optimization of a roll cage of a sae baja carSatyajeet Udavant
 
IRJET- Experimental Analysis of Passive/Active Suspension System
IRJET- Experimental Analysis of Passive/Active Suspension SystemIRJET- Experimental Analysis of Passive/Active Suspension System
IRJET- Experimental Analysis of Passive/Active Suspension SystemIRJET Journal
 
Baja sae india suspension design
Baja sae india suspension designBaja sae india suspension design
Baja sae india suspension designUpender Rawat
 
Detailed design report on design of upright and hub
Detailed design report on design of upright and hubDetailed design report on design of upright and hub
Detailed design report on design of upright and hubZubair Ahmed
 
BAJA 2013 final year project report
BAJA 2013 final year project reportBAJA 2013 final year project report
BAJA 2013 final year project reportKalyan Potukuchi
 
Design of half shaft and wheel hub assembly for racing car
Design of half shaft and wheel hub assembly for racing carDesign of half shaft and wheel hub assembly for racing car
Design of half shaft and wheel hub assembly for racing carRavi Shekhar
 
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSIS
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSISDESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSIS
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSISPrashant Sahgal
 
Senior Design Summer 2008 Presentation
Senior Design Summer 2008 PresentationSenior Design Summer 2008 Presentation
Senior Design Summer 2008 PresentationNickPartenope
 
Baja SAE USB 2010-2011 Portfolio
Baja SAE USB 2010-2011 PortfolioBaja SAE USB 2010-2011 Portfolio
Baja SAE USB 2010-2011 PortfolioReinaldo Wiener
 
design and analysis of an All Terrain Vehicle
design and analysis of an All Terrain Vehicledesign and analysis of an All Terrain Vehicle
design and analysis of an All Terrain VehicleNikhil kadasi
 
Analysis and Improvement of the Steering Characteristics of an ATV.
Analysis and Improvement of the Steering Characteristics of an ATV.Analysis and Improvement of the Steering Characteristics of an ATV.
Analysis and Improvement of the Steering Characteristics of an ATV.IJERA Editor
 
Final Detailed Design
Final Detailed DesignFinal Detailed Design
Final Detailed DesignRyley Nelson
 
Team Spark Racing - FSAE Italy & SAE Supra 2015
Team Spark Racing - FSAE Italy & SAE Supra 2015Team Spark Racing - FSAE Italy & SAE Supra 2015
Team Spark Racing - FSAE Italy & SAE Supra 2015Dhamodharan V
 

What's hot (20)

SUPRA SAE
SUPRA SAESUPRA SAE
SUPRA SAE
 
presentation on car for SUPRA event
presentation on car for SUPRA eventpresentation on car for SUPRA event
presentation on car for SUPRA event
 
Formula SAE vehicle
Formula SAE vehicleFormula SAE vehicle
Formula SAE vehicle
 
Baja project 2010 report by bangalore institue of tech
Baja project 2010 report by bangalore institue of techBaja project 2010 report by bangalore institue of tech
Baja project 2010 report by bangalore institue of tech
 
Design optimization of a roll cage of a sae baja car
Design optimization of a roll cage of a sae baja carDesign optimization of a roll cage of a sae baja car
Design optimization of a roll cage of a sae baja car
 
IRJET- Experimental Analysis of Passive/Active Suspension System
IRJET- Experimental Analysis of Passive/Active Suspension SystemIRJET- Experimental Analysis of Passive/Active Suspension System
IRJET- Experimental Analysis of Passive/Active Suspension System
 
Baja sae india suspension design
Baja sae india suspension designBaja sae india suspension design
Baja sae india suspension design
 
Detailed design report on design of upright and hub
Detailed design report on design of upright and hubDetailed design report on design of upright and hub
Detailed design report on design of upright and hub
 
BAJA 2013 final year project report
BAJA 2013 final year project reportBAJA 2013 final year project report
BAJA 2013 final year project report
 
Design of half shaft and wheel hub assembly for racing car
Design of half shaft and wheel hub assembly for racing carDesign of half shaft and wheel hub assembly for racing car
Design of half shaft and wheel hub assembly for racing car
 
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSIS
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSISDESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSIS
DESIGN & STRUCTURAL PERFORMANCE ANALYSIS OF SUPRA SAE CAR CHASSIS
 
AIR15_Komal
AIR15_KomalAIR15_Komal
AIR15_Komal
 
Senior Design Summer 2008 Presentation
Senior Design Summer 2008 PresentationSenior Design Summer 2008 Presentation
Senior Design Summer 2008 Presentation
 
Baja SAE USB 2010-2011 Portfolio
Baja SAE USB 2010-2011 PortfolioBaja SAE USB 2010-2011 Portfolio
Baja SAE USB 2010-2011 Portfolio
 
design and analysis of an All Terrain Vehicle
design and analysis of an All Terrain Vehicledesign and analysis of an All Terrain Vehicle
design and analysis of an All Terrain Vehicle
 
Analysis and Improvement of the Steering Characteristics of an ATV.
Analysis and Improvement of the Steering Characteristics of an ATV.Analysis and Improvement of the Steering Characteristics of an ATV.
Analysis and Improvement of the Steering Characteristics of an ATV.
 
Final Detailed Design
Final Detailed DesignFinal Detailed Design
Final Detailed Design
 
Chassis design for baja sae
Chassis design for baja saeChassis design for baja sae
Chassis design for baja sae
 
BAJA SAE INDIA 2015
BAJA SAE INDIA 2015BAJA SAE INDIA 2015
BAJA SAE INDIA 2015
 
Team Spark Racing - FSAE Italy & SAE Supra 2015
Team Spark Racing - FSAE Italy & SAE Supra 2015Team Spark Racing - FSAE Italy & SAE Supra 2015
Team Spark Racing - FSAE Italy & SAE Supra 2015
 

Similar to Effect of wheel geometry

IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...
IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...
IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...IRJET Journal
 
IRJET- Four Wheel Steering System
IRJET- Four Wheel Steering SystemIRJET- Four Wheel Steering System
IRJET- Four Wheel Steering SystemIRJET Journal
 
IRJET - Review of Suspension System for a Race Car
IRJET -  	  Review of Suspension System for a Race CarIRJET -  	  Review of Suspension System for a Race Car
IRJET - Review of Suspension System for a Race CarIRJET Journal
 
Paper id 312201529
Paper id 312201529Paper id 312201529
Paper id 312201529IJRAT
 
Different Modes in Four Wheel Steered Multi-Utility Vehicles
Different Modes in Four Wheel Steered Multi-Utility VehiclesDifferent Modes in Four Wheel Steered Multi-Utility Vehicles
Different Modes in Four Wheel Steered Multi-Utility Vehiclesresearchinventy
 
FOUR WHEEL STEERING SYSTEM
FOUR WHEEL STEERING SYSTEMFOUR WHEEL STEERING SYSTEM
FOUR WHEEL STEERING SYSTEMKhadeer Kms
 
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...Design and Development of H-Frame with Lateral Link Suspension for an All Ter...
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...IRJET Journal
 
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...ijiert bestjournal
 
The International Journal of Engineering and Science (The IJES)
The International Journal of Engineering and Science (The IJES)The International Journal of Engineering and Science (The IJES)
The International Journal of Engineering and Science (The IJES)theijes
 
Linear Control Technique for Anti-Lock Braking System
Linear Control Technique for Anti-Lock Braking SystemLinear Control Technique for Anti-Lock Braking System
Linear Control Technique for Anti-Lock Braking SystemIJERA Editor
 
Review on Handling Characteristics of Road Vehicles
Review on Handling Characteristics of Road VehiclesReview on Handling Characteristics of Road Vehicles
Review on Handling Characteristics of Road VehiclesIJERA Editor
 
Analysis of the stability and step steer maneuver of a linearized vehicle mod...
Analysis of the stability and step steer maneuver of a linearized vehicle mod...Analysis of the stability and step steer maneuver of a linearized vehicle mod...
Analysis of the stability and step steer maneuver of a linearized vehicle mod...saeid ghaffari
 
Kinematics and Compliance of Sports Utility Vehicle
Kinematics and Compliance of Sports Utility VehicleKinematics and Compliance of Sports Utility Vehicle
Kinematics and Compliance of Sports Utility VehicleIRJEETJournal
 
IRJET- A Review on Design and Development of Modified Differential Gearbox
IRJET- A Review on Design and Development of Modified Differential GearboxIRJET- A Review on Design and Development of Modified Differential Gearbox
IRJET- A Review on Design and Development of Modified Differential GearboxIRJET Journal
 
Selection P arameter of AVT suspension system
Selection P arameter of AVT suspension systemSelection P arameter of AVT suspension system
Selection P arameter of AVT suspension systemIRJEETJournal
 
Design and Optimization of steering and Suspension System of All Terrain Vehicle
Design and Optimization of steering and Suspension System of All Terrain VehicleDesign and Optimization of steering and Suspension System of All Terrain Vehicle
Design and Optimization of steering and Suspension System of All Terrain VehicleIRJET Journal
 
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...IJERA Editor
 
Four Wheel Active Steering / Without Videos
Four Wheel Active Steering / Without VideosFour Wheel Active Steering / Without Videos
Four Wheel Active Steering / Without VideosGoodarz Mehr
 
IRJET - A Review on Design and Assembly of Go- Kart Steering System
IRJET -  	  A Review on Design and Assembly of Go- Kart Steering SystemIRJET -  	  A Review on Design and Assembly of Go- Kart Steering System
IRJET - A Review on Design and Assembly of Go- Kart Steering SystemIRJET Journal
 

Similar to Effect of wheel geometry (20)

IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...
IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...
IRJET - Design and Analysis of Double Wishbone Suspension for Formula Student...
 
IRJET- Four Wheel Steering System
IRJET- Four Wheel Steering SystemIRJET- Four Wheel Steering System
IRJET- Four Wheel Steering System
 
IRJET - Review of Suspension System for a Race Car
IRJET -  	  Review of Suspension System for a Race CarIRJET -  	  Review of Suspension System for a Race Car
IRJET - Review of Suspension System for a Race Car
 
Paper id 312201529
Paper id 312201529Paper id 312201529
Paper id 312201529
 
Different Modes in Four Wheel Steered Multi-Utility Vehicles
Different Modes in Four Wheel Steered Multi-Utility VehiclesDifferent Modes in Four Wheel Steered Multi-Utility Vehicles
Different Modes in Four Wheel Steered Multi-Utility Vehicles
 
FOUR WHEEL STEERING SYSTEM
FOUR WHEEL STEERING SYSTEMFOUR WHEEL STEERING SYSTEM
FOUR WHEEL STEERING SYSTEM
 
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...Design and Development of H-Frame with Lateral Link Suspension for an All Ter...
Design and Development of H-Frame with Lateral Link Suspension for an All Ter...
 
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...
A COMPARATIVE STUDY OF DESIGN OF SIMPLE SPUR GEAR TRAIN AND HELICAL GEAR TRAI...
 
The International Journal of Engineering and Science (The IJES)
The International Journal of Engineering and Science (The IJES)The International Journal of Engineering and Science (The IJES)
The International Journal of Engineering and Science (The IJES)
 
13
1313
13
 
Linear Control Technique for Anti-Lock Braking System
Linear Control Technique for Anti-Lock Braking SystemLinear Control Technique for Anti-Lock Braking System
Linear Control Technique for Anti-Lock Braking System
 
Review on Handling Characteristics of Road Vehicles
Review on Handling Characteristics of Road VehiclesReview on Handling Characteristics of Road Vehicles
Review on Handling Characteristics of Road Vehicles
 
Analysis of the stability and step steer maneuver of a linearized vehicle mod...
Analysis of the stability and step steer maneuver of a linearized vehicle mod...Analysis of the stability and step steer maneuver of a linearized vehicle mod...
Analysis of the stability and step steer maneuver of a linearized vehicle mod...
 
Kinematics and Compliance of Sports Utility Vehicle
Kinematics and Compliance of Sports Utility VehicleKinematics and Compliance of Sports Utility Vehicle
Kinematics and Compliance of Sports Utility Vehicle
 
IRJET- A Review on Design and Development of Modified Differential Gearbox
IRJET- A Review on Design and Development of Modified Differential GearboxIRJET- A Review on Design and Development of Modified Differential Gearbox
IRJET- A Review on Design and Development of Modified Differential Gearbox
 
Selection P arameter of AVT suspension system
Selection P arameter of AVT suspension systemSelection P arameter of AVT suspension system
Selection P arameter of AVT suspension system
 
Design and Optimization of steering and Suspension System of All Terrain Vehicle
Design and Optimization of steering and Suspension System of All Terrain VehicleDesign and Optimization of steering and Suspension System of All Terrain Vehicle
Design and Optimization of steering and Suspension System of All Terrain Vehicle
 
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...
Finite Element Analysis and Topography Optimization of Lower Arm of Double Wi...
 
Four Wheel Active Steering / Without Videos
Four Wheel Active Steering / Without VideosFour Wheel Active Steering / Without Videos
Four Wheel Active Steering / Without Videos
 
IRJET - A Review on Design and Assembly of Go- Kart Steering System
IRJET -  	  A Review on Design and Assembly of Go- Kart Steering SystemIRJET -  	  A Review on Design and Assembly of Go- Kart Steering System
IRJET - A Review on Design and Assembly of Go- Kart Steering System
 

Recently uploaded

John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualJohn Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualExcavator
 
How To Troubleshoot Mercedes Blind Spot Assist Inoperative Error
How To Troubleshoot Mercedes Blind Spot Assist Inoperative ErrorHow To Troubleshoot Mercedes Blind Spot Assist Inoperative Error
How To Troubleshoot Mercedes Blind Spot Assist Inoperative ErrorAndres Auto Service
 
Dubai Call Girls Size E6 (O525547819) Call Girls In Dubai
Dubai Call Girls  Size E6 (O525547819) Call Girls In DubaiDubai Call Girls  Size E6 (O525547819) Call Girls In Dubai
Dubai Call Girls Size E6 (O525547819) Call Girls In Dubaikojalkojal131
 
UNIT-III-TRANSMISSION SYSTEMS REAR AXLES
UNIT-III-TRANSMISSION SYSTEMS REAR AXLESUNIT-III-TRANSMISSION SYSTEMS REAR AXLES
UNIT-III-TRANSMISSION SYSTEMS REAR AXLESDineshKumar4165
 
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHER
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHERUNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHER
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHERunosafeads
 
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...Garima Khatri
 
What Causes BMW Chassis Stabilization Malfunction Warning To Appear
What Causes BMW Chassis Stabilization Malfunction Warning To AppearWhat Causes BMW Chassis Stabilization Malfunction Warning To Appear
What Causes BMW Chassis Stabilization Malfunction Warning To AppearJCL Automotive
 
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip CallDelhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Callshivangimorya083
 
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...Hot Call Girls In Sector 58 (Noida)
 
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagardollysharma2066
 
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip CallDelhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Callshivangimorya083
 
Innovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC TechnologyInnovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC Technologyquickpartslimitlessm
 
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptUNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptDineshKumar4165
 
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhi
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhiHauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhi
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhiHot Call Girls In Sector 58 (Noida)
 
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂Hot Call Girls In Sector 58 (Noida)
 
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Number
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp NumberVip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Number
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Numberkumarajju5765
 
John Deere Tractors 5515 Diagnostic Repair Manual
John Deere Tractors 5515 Diagnostic Repair ManualJohn Deere Tractors 5515 Diagnostic Repair Manual
John Deere Tractors 5515 Diagnostic Repair ManualExcavator
 

Recently uploaded (20)

John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service ManualJohn Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
John Deere 300 3029 4039 4045 6059 6068 Engine Operation and Service Manual
 
How To Troubleshoot Mercedes Blind Spot Assist Inoperative Error
How To Troubleshoot Mercedes Blind Spot Assist Inoperative ErrorHow To Troubleshoot Mercedes Blind Spot Assist Inoperative Error
How To Troubleshoot Mercedes Blind Spot Assist Inoperative Error
 
Dubai Call Girls Size E6 (O525547819) Call Girls In Dubai
Dubai Call Girls  Size E6 (O525547819) Call Girls In DubaiDubai Call Girls  Size E6 (O525547819) Call Girls In Dubai
Dubai Call Girls Size E6 (O525547819) Call Girls In Dubai
 
UNIT-III-TRANSMISSION SYSTEMS REAR AXLES
UNIT-III-TRANSMISSION SYSTEMS REAR AXLESUNIT-III-TRANSMISSION SYSTEMS REAR AXLES
UNIT-III-TRANSMISSION SYSTEMS REAR AXLES
 
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHER
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHERUNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHER
UNOSAFE ELEVATOR PRIVATE LTD BANGALORE BROUCHER
 
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...
VIP Mumbai Call Girls Thakur village Just Call 9920874524 with A/C Room Cash ...
 
What Causes BMW Chassis Stabilization Malfunction Warning To Appear
What Causes BMW Chassis Stabilization Malfunction Warning To AppearWhat Causes BMW Chassis Stabilization Malfunction Warning To Appear
What Causes BMW Chassis Stabilization Malfunction Warning To Appear
 
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip CallDelhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls Mayur Vihar 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
 
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...
꧁ ୨⎯Call Girls In Ashok Vihar, New Delhi **✿❀7042364481❀✿**Escorts ServiCes C...
 
Call Girls in Shri Niwas Puri Delhi 💯Call Us 🔝9953056974🔝
Call Girls in  Shri Niwas Puri  Delhi 💯Call Us 🔝9953056974🔝Call Girls in  Shri Niwas Puri  Delhi 💯Call Us 🔝9953056974🔝
Call Girls in Shri Niwas Puri Delhi 💯Call Us 🔝9953056974🔝
 
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar
83778-77756 ( HER.SELF ) Brings Call Girls In Laxmi Nagar
 
Call Girls In Kirti Nagar 📱 9999965857 🤩 Delhi 🫦 HOT AND SEXY VVIP 🍎 SERVICE
Call Girls In Kirti Nagar 📱  9999965857  🤩 Delhi 🫦 HOT AND SEXY VVIP 🍎 SERVICECall Girls In Kirti Nagar 📱  9999965857  🤩 Delhi 🫦 HOT AND SEXY VVIP 🍎 SERVICE
Call Girls In Kirti Nagar 📱 9999965857 🤩 Delhi 🫦 HOT AND SEXY VVIP 🍎 SERVICE
 
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip CallDelhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
Delhi Call Girls East Of Kailash 9711199171 ☎✔👌✔ Whatsapp Hard And Sexy Vip Call
 
Innovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC TechnologyInnovating Manufacturing with CNC Technology
Innovating Manufacturing with CNC Technology
 
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.pptUNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
UNIT-1-VEHICLE STRUCTURE AND ENGINES.ppt
 
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhi
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhiHauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhi
Hauz Khas Call Girls ☎ 7042364481 independent Escorts Service in delhi
 
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
꧁༒☬ 7042364481 (Call Girl) In Dwarka Delhi Escort Service In Delhi Ncr☬༒꧂
 
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Number
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp NumberVip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Number
Vip Hot Call Girls 🫤 Mahipalpur ➡️ 9711199171 ➡️ Delhi 🫦 Whatsapp Number
 
John Deere Tractors 5515 Diagnostic Repair Manual
John Deere Tractors 5515 Diagnostic Repair ManualJohn Deere Tractors 5515 Diagnostic Repair Manual
John Deere Tractors 5515 Diagnostic Repair Manual
 
Indian Downtown Call Girls # 00971528903066 # Indian Call Girls In Downtown D...
Indian Downtown Call Girls # 00971528903066 # Indian Call Girls In Downtown D...Indian Downtown Call Girls # 00971528903066 # Indian Call Girls In Downtown D...
Indian Downtown Call Girls # 00971528903066 # Indian Call Girls In Downtown D...
 

Effect of wheel geometry

  • 1. SASTECH Journal 11 Volume 9, Issue 2, September 2010 EFFECT OF WHEEL GEOMETRY PARAMETERS ON VEHICLE STEERING R. P. Rajvardhan1 , S. R. Shankapal2 , S. M. Vijaykumar3 1 Student, M. Sc. [Engg.], 2 Director, 3 Keywords: Vehicle Dynamics, Steering Geometry, Steering Drift, Vehicle Pull Assistant Professor M.S. Ramaiah School of Advanced Studies, Bangalore 560 054 Abstract In modern era, steerability and handling characteristics of the vehicle have become major aspects. Providing comfort to the driver by reducing steering effort without any compromise in steerability and handling of the vehicle is a major concern for automakers. Evaluating handling and steering characteristics of a vehicle in a virtual environment with the help of multi-body system packages saves product development time and cost. The main intention is to improve the steerability and handling of the vehicle by avoiding the steering pull and wheel wandering problems. As per the specification of the selected vehicle Honda CR-V, a multi-body model of the SUV was built in ADAMS/CAR software. The SUV model was validated by comparing simulation results with the standard graphs from literature. Using this model, manoeuvres for different values of wheel geometry parameters, were simulated. The steering effort, steering wheel returnability and the lateral forces produced by the tires were obtained in order to predict the behaviour of the vehicle for different wheel geometry parameters. It can be seen from the results that positive caster angles improve the steering wheel returnability but increase the steering effort. Negative caster angles reduce the steering effort but create wheel wandering problems. Higher Steering Axle Inclination (SAI) angles help in improving the steering wheel returnability and decreasing the steering effort as well. Negative camber angles help in producing higher lateral forces to improve the cornerability of the vehicle. Toe-in angles help in improving the straight-line stability where as toe-out angles help in improving the cornering. Negative scrub radius seem to have stabilising effect on vehicle handling. Nomenclature F Force, N K Stiffness, N/m R Turning radius, m W Weight, kg δ Steering angle, degrees Abbreviations CG Center of Gravity CRC Constant Radius Cornering DOF Degrees of Freedom KPIA Kingpin Inclination Angle SAI Steering Axis Inclination SLC Single Lane Change 1. INTRODUCTION 1.1 Introduction to Vehicle Dynamics of a SUV Vehicle dynamics is the study concerned with the motion of vehicles on a road surface. The dynamic behaviour of a vehicle is determined by various kinds of forces, such as gravitational force, aerodynamic force and forces coming from the tires, acting on the vehicle. Vehicle dynamics constitutes the detailed study of all these forces imposed and their effect on stability and handling of the vehicle. For that purpose, approach used is to create approximate vehicle model and simulating different straight line course and cornering conditions in virtual environment for detailed study of the parameters contributing to handling and stability of the vehicle. Steering response, which plays an important role in the manoeuvrability and handling of the vehicle, is one of the important tasks in vehicle dynamics. Wheel geometry and tire behaviour are two major factors which aid thorough understanding of the vehicle steering. Tire is the primary source of different forces and moments which govern the control and stability of the vehicle. Interaction between tires and road generates tractive, braking and cornering forces for manoeuvring. Hence, proper alignment of the wheels help in achieving better grip and handling of the vehicle. 1.2 Wheel Geometry Parameters Affecting Vehicle Steering Wheel geometry is an important aspect which contributes a lot to the steerability of a vehicle. Even a slightest misalignment creates problems like steering pull and vehicle drift. The wheel geometry parameters that affect the steerability of the vehicle are camber, caster, Steering Axis Inclination (SAI), scrub radius and toe. Skip Essma has [1] discussed the methods used in evaluating and modifying steering effort for a cart series champ car racing on oval track. It was found that halving the camber reduced the steering effort by 30% but there was reduction in the peak lateral force capability also. Reduction in design trail also reduced the steering effort but resulted in wheel wandering problems. Hence, it was concluded that most of the design changes require trade-offs to maintain perfect balance. Younggun Cho and Unkoo Lee [2] discussed steering kickback and its effect on driver comfort. The study focused on the contribution of external force and inertial force responsible for the steering kickback when the vehicle approaches a bump. Initially front mount point of lower arm in the suspension system was raised as a remedy for the kickback. This showed 5% reduction in kickback. Further, the brake-caliper was moved from front to rear side of the wheel center. This produced inertial moment acting opposite to unbalanced
  • 2. SASTECH Journal 12 Volume 9, Issue 2, September 2010 moment producing kick-back. This design change reduced kick-back by 8%. Klaps and Day [3] investigated the causes for steering drift during straight-line braking. Different static and dynamic tests were carried out to find out the variation in the wheel alignment during braking. It was observed that the caster angle became slightly negative and aligning torque started acting in opposite direction due to suspension compression during braking. Also, suspension compression altered the steering offset and was different at both the sides. The difference in the steering offset at both the side created imbalance because of the difference in steering arm forces generated. These factors were found to be the sole factors responsible for drift in the vehicle during braking. Sang-Hyun Oh et al [4] studied the parameters responsible for vehicle pull mechanism. Their work concentrated on PRAT (Ply-steer Residual Aligning Torque), VRAT (Vehicle Residual Aligning Torque), cross camber, cross caster and road crown. It was seen that the reduction in cross camber and cross caster values resulted in reduction in steering pull. According to the authors, collaboration between vehicle and tire manufacturers is necessary in order to match the characteristics of the vehicle and the tires. VRAT is usually designed according to the road crown, and PRAT has to be properly produced by adjusting the tire design in order to suit VRAT. Marcelo Prado et al [5] have described the procedure for modelling, testing and validation of a bus. The tests carried out were ISO lane change at 80 km/h and sweep steer test at 40 km/h. For comparison, only steering wheel angle, lateral acceleration, and yaw rate were selected. In all the cases, a close correlation was found between the experimental results and simulation results. March and Shim [6] developed an integrated control system of active front control and normal force control to enhance vehicle handling. Fuzzy reasoning was used in the integration of the control systems for achieving better handling performance. The developed yaw rate control system automatically adjusts the normal force and the additional steering angle to achieve the desired yaw rate. Integration of normal force control and active front steering system showed better handling. Ragnar Ledesma and Shan Shih [7] studied the effect of Kingpin Inclination Angle (KPIA) and wheel offset on vehicle performance metrics such as steering effort, vehicle handling and steering system vibration. Kingpin inclination was varied from 6.25° to 9.25° and wheel offset was varied from 63.5 mm (2.5 in) to 114.3 mm (4.5 in) in order to study the variation in performance metrics. The results obtained were summarised and listed in a table to observe the impact of design changes on total vehicle performance. Table 1, shows the summary of other performance metrics and contributing factors. Renuka Avachat et al [8] developed a methodology for improving steering wheel returnability. Instead of altering the steering geometry of the vehicle, investigation was carried out to find the reasons for frictional resistance. It was found that the losses in steering universal joint, intermediate bearing and clamping bush cause the frictional resistance. The bearing design was improved, greasing procedure was implemented in the manufacturing process and the central support bush alignment procedure was implemented with respect to column and bracket in order to reduce frictional resistance. Table 1. Summary of vehicle performance metrics [7] Scenario Performance Metric Major Contri- buting Factor Max. % change from reference High turn angle Camber angle change KPIA 32% Steady State Cornering Tire slip angle KPIA 3% Steady State Cornering Lateral stability KPIA 0% Steady State Cornering Steering effort KPIA 7% Driver side bump Steering vibration Wheel offset 27% Rough road Steering vibration Wheel offset 33% Side force disturbance Directional stability Wheel offset 4% Constant- µ braking Directional stability Wheel offset 5% Split-µ braking Directional stability Scrub radius 10% Braking in turn Directional stability Scrub radius 2% Braking in turn Steering effort Scrub radius 4% Implementation of all the corrective actions, not only improved steering returnability by 40% but also helped in reducing the cycle time in design and validation by 80%. Wade Allen et al [9] have discussed the effect of inertial properties on vehicle handling stability. In this study, carried out on small and medium sized SUVs, at high speeds, the yaw rates were seen to be more in case of small SUVs compared to medium sized SUVs. The authors concluded that the inertial properties are strongly correlated with the length, width and the height of the vehicle. And these inertial properties affect the handling and stability of the vehicle. Smaller vehicles respond more quickly and hence they cannot be controlled easily in emergency manoeuvres. It has been also concluded that small vehicles tip-up more quickly due to their small ratio of roll moment of inertia to mass. Klaus Rompe and Edmund Donges [10] investigated variation of handling characteristics of 15 of today’s passenger cars. They found that the driving conditions become more difficult when the vehicles approach their handling limits in the tests like power-off and braking during cornering. It was also observed that handling characteristic of only a few vehicles was affected by changes in loading conditions. Other
  • 3. SASTECH Journal 13 Volume 9, Issue 2, September 2010 vehicles retained their handling characteristics for different loading and for different test procedures. 2. PROBLEM DEFINITION Based on the literature survey, various problems related to steering, like steerability under limit handling condition, steering drift because of improper alignment, have be identified. The work reported in this paper concerns the effect of different wheel parameters on steerability and development of a computer model and carrying out virtual simulations to study the effect of different wheel geometry parameters on vehicle steering. 3. MODELING OF SUV IN ADAMS/CAR To study the behaviour of an SUV for different wheel geometry parameter, a multi-body model of Honda-CRV, the vehicle selected for this study, was built in ADAMS/CAR. Different sub-systems of an SUV, such as suspension system, steering system, wheels, brakes and chassis were built according to the specification and assembled together to carry out the simulations. The data used to build the model is shown in the Table 2. Table 2. Specification of the selected SUV Front suspension Macpherson strut Rear suspension Double Wishbone Steering system Rack and pinion type Brakes Four wheel Disc brakes Tire size 225/65 R 17 102 T Wheel Base 2620 mm Track Width 1565 mm CG Location (X, Y, Z) 1180, 0, 650 mm Kerb Weight 1565 mm Weight Distribution(%, Front/Rear) 58/42 Turning radius 5.54 m Three major steps involved in the construction of multi-body model of SUV are • Creation of templates • Creation of sub-systems • Creation of full vehicle assembly 3.1 Creation of Templates In the simulation software, a template is the basic level multi-body model that contains the geometry and topological data. Template defines the geometric parts, joints (to enable the connection between different geometric parts), forces and other modelling elements that constitute an aggregate sub-assembly of a vehicle. It also includes how the parts connect together through the joints and how the force will be transmitted from one part to another and so on. The template also contains communicators to achieve the communication between different sub-assemblies of the vehicle. To create the simulation model of the selected SUV, the coordinates of hard points were changed to match those in the selected vehicle. Similarly, the templates of steering, front and rear suspension, front and rear wheels, powertrain and brakes were modified according to the specification of selected SUV and saved in the database. 3.2 Creation of Subsystems A subsystem is a mechanical model which references the template and tailors it by supplying the parameters, including properties of the components like spring, tire etc. Subsystems also allow new point positions can be defined. The respective templates from the database were imported and all the subsystems required for the SUV were created. 3.3 Full-Vehicle Assembly To create the full vehicle model, the subsystems were imported in a single environment and assembled properly. Fig. 1 Full vehicle assembly
  • 4. SASTECH Journal 14 Volume 9, Issue 2, September 2010 After assembling, the subsystems were translated from the default positions to suit the parameters such as wheelbase and other vehicle specification. Figure 1 shows the full vehicle assembly of Honda-CRV consisting of the following subsystems • Front suspension subsystem • Rear suspension subsystem • Steering subsystem • Front wheel subsystem • Rear wheel subsystem • Body subsystem • Brake subsystem • Powertrain subsystem 4. RESULTS AND DISCUSSIONS The SUV modelled in ADAMS/CAR was used to study the steering wheel returnability, steering effort and other steering related parameters in a SLC test with vehicle speed of 80 km/h. For lane change, steering angle of 20° was given as an input to steering wheel. Simulations of this test for different wheel geometry parameters were carried out to study their effect on steering effort, handling behaviour and steering wheel returnability. 4.1 Effect of Caster Angles on Vehicle Behaviour Figure 2 shows the variation of pinion torque acting at the pinion of rack and pinion steering system for different values of caster angles. The caster angle was varied from +5° to -5° to observe its effect on the variation of steering effort. It can be seen that the torque acting at the pinion, a measure of steering effort, is lower for negative caster angle and increases as the caster angle is changed from maximum negative to maximum positive. Fig. 2 Time variation of pinion torque for different caster angles A completely reverse trend is observed for aligning torque. Aligning torque, a moment generated at the road-tire interface, tends to align the wheels back to the straight ahead position without any effort from the driver. This is higher for positive caster and decreases as the caster angle reduces to zero and goes to negative (Fig. 3). Higher aligning torque aids steering returnability. Fig. 3 Time variation of aligning torque for different caster angles For negative caster angles, the aligning torque, instead of trying to push the wheels to straight ahead position, pushes the wheels farther away from it. This destabilises the wheel path, giving rise to wheel wandering problems. Hence, it is preferred to have positive caster angles. Fig. 4 Time variation of steering assistance angle for different caster angles Figure 4 shows the variation of steering assistance angle, a measure of returnability of the steering wheel back to its initial position after the lane changeover, with caster angle. After changing the lane the steering angle remains constant as the vehicle starts moving in the straight path. Fig. 5 Time variation of steering assistance angle for different caster angles Details of the variation in the encircled area is shown in Fig. 5. It can be seen that a vehicle with positive caster angle of 5° returns back to the initial position faster than vehicles with lower positive or
  • 5. SASTECH Journal 15 Volume 9, Issue 2, September 2010 negative camber. This observation corroborates the variation of self-aligning torque shown in Fig. 3. 4.2 Effect of SAI Angles on Vehicle Behaviour Figure 6 shows the variation of the torque acting at the pinion for different values of SAI angles in an SLC manoeuvre. The SAI angle is varied from +10° to +15° to observe the variation of steering effort. From the results it can be observed that the torque acting at the pinion, and hence, driver’s effort to steer, decreases with increasing SAI angle. Fig. 6 Time variation of pinion torque for different SAI angles Fig. 7 Time variation of aligning torque for different SAI angles Fig. 8 Time variation of steering assistance angle for different SAI angles Figure 7 shows the variation of aligning torque for different SAI angles. The aligning torque about the steering axis is higher for 10° SAI the angle and decreases as the SAI angle increases. This pattern of variation is because as SAI angle increases the lateral forces at tires increase. With moment arm remaining the same, this results in increase in aligning torque. Higher aligning torque improves steering returnability and the wheels align to straight ahead position faster. Figure 8 shows the variation of steering assistance angle for different SAI angles for an SLC manoeuvre. After changing the lane the steering angle remains constant as the vehicle starts moving in the straight path. Details of the variation in the encircled area is shown in Fig. 9. There, it can be seen that a vehicle with SAI angle of 15° returns back to the initial position faster than venicles with lower SAI angle. This observation corroborates the variation of self-aligning torque shown in Fig. 7. Another way to interpret this result is as follows. SAI angle causes the front end of the car to rise as the wheels are steered. This lifting increases steering returnability. Larger the SAI angle, more is the lift, and more is the self-centring effect, as seen from Figure 9. Fig. 9 Time variation of steering assistance angle for different SAI angles 4.3 Effect of Toe Angles on Vehicle Behaviour Figure 10 shows the lateral forces acting at the tires for different toe-in angles in an SLC manoeuvre. In this case, the lateral force increases with the increase in toe- in angles but the range of variation of the force decreases. The variation of lateral force is more for zero toe-in (~3500 N) compared to when the toe-in is 3° (~700 N). Since larger variation indicates better steering response, vehicles with higher toe-in will have more tendency to understeer. However, with increasing steering response comes the tendency of the vehicle to enter a turn. This compromises the straight line stability of the vehicle. So, even though non-zero toe-in vehicles have steering response inferior to zero toe-in vehicles, some toe-in must be kept to ensure straight line stability. Figure 11 shows the lateral forces acting at the tires for different toe-out angles in an SLC manoeuvre. Unlike the case of toe-in angle, for toe-out angle the range of variation of force is not much different for different toe-out angles. For zero toe-out case, it is about 3150 N and for 3° toe-out it is about 3300 N. This will result in good steering response. The vehicle will have a tendency to exhibit neutral steer characteristics. It will have good corenerability because of its tendency to enter a turn but at the expense of straight line stability.
  • 6. SASTECH Journal 16 Volume 9, Issue 2, September 2010 Fig. 10 Lateral forces for different toe-in angles For vehicles with toe-out, the slip angle is less for zero toe-out angle and increases with the increasing toe- out angles (Fig. 12). This is an undesirable situation as higher slip angle will result in more sliding, and hence more wear, of the tire. Fig. 11 Lateral forces for different toe-out angles Fig. 12 Slip angles for different toe-out angles 4.4 Effect of Camber Angles on Vehicle Behaviour Constant Radius Cornering (CRC) simulations, for different camber angles, were carried out to study the effect of camber thrust and slip angles on handling behaviour of a vehicle and tire wear. For this study, vehicle travelling at 20 km/h initially and gradually accelerating to 80 km/h on circular test track of 3.5 meters radius was simulated. The camber angle was varied from 0° to ±4° in steps of ±1°. Figure 13 shows the variation of lateral forces in CRC test for different positive camber angles. Lateral forces decrease as the camber angle increases because of higher camber thrust produced by the positive camber angles. Fig. 13 Time variation of lateral force for positive camber angles Reduction in the net lateral force at the tires increases vehicle’s tendency to understeer. To reduce this tendency, lower positive camber should be used. Fig. 14 Time variation of lateral force for negative camber angles Variation of lateral forces for different values of negative camber angles in a CRC test is shown in Fig. 14. Unlike for the positive camber, in this case, the lateral force increases with the increase of absolute value of the camber as camber thrust adds to the other dynamic loads produced during cornering. Hence, higher negative camber will provide better cornering characteristics and manoeuverability. Fig. 15 Variation of lateral force with respect to slip angle for different camber angles
  • 7. SASTECH Journal 17 Volume 9, Issue 2, September 2010 Figure 15 shows the variation of lateral force as a function of slip angle for different values of camber angles in a CRC test simulation. The maximum lateral force increases as the camber increases from negative to zero to positive. From Fig. 15, it is also seen that the slip angle produced by positive camber is highest and reduces as camber reduces to zero and then goes to negative. This explains why wheels with positive cambers wear out faster. Generally a negative camber is preferred as it provides better cornering and manoeuvrability and also less slip and tire wear. 4.5 Simulation of the Vehicle Going Over Hump to Study the Effect of Scrub Radius In order to study the effect of scrub radius on the stability of a vehicle, the vehicle moving at 40 km/h going over a hump was simulated and the result, steering kickback, was analysed. The analysis was repeated for different scrub radii, and the results were compared to assess the stability of the vehicle. Fig. 16 Time variation of steering assistance angle for different scrub radii Figure 16 shows the time variation of steering assistance angle for three different, positive, zero and negative, values of scrub radii. Few peaks in steering assistance angle, which indicate steering disturbance caused when the vehicle moves over a hump, can be seen in Fig. 16. Fig. 17 Time variation of steering assistance angle for different scrub radii To provide more details of the variation in that region, enlarged view of the encircled portion in Fig. 16 is shown in Fig. 17. Most severe steering disturbance – steering kickback, is observed for positive scrub radius of 30 mm. The peak value comes down as scrub radius reduces to zero and then changes to -30 mm. Physically, when the vehicle hits the hump, the force acting on the wheels from the hump produces steering torque proportional to the scrub radius. To counteract this unbalanced steering torque, the driver has to apply steering correction to keep the vehicle moving in straight direction. For zero scrub radius unbalanced steering torque is eliminated, but the driver loses the feel of steering. Hence it is preferred to have negative scrub radius. Fig. 18 Time variation of steering assistance angle for different scrub radii 4.6 Simulation of Brake-in-turn Analysis to Study the Effect Scrub Radius In brake-in-turn analysis, the vehicle was made to run on the circular test track of 3.5 m radius with lateral acceleration of 0.35 g and then the brakes were applied. Through brakes, 3 g deceleration was applied to the wheels for a period of 2 sec to stop the vehicle. Figure 18 shows the plot of time variation of steering angle for three different, positive, zero and negative, values of scrub radii. The steering input used is to maintain the vehicle on course on road after the brakes are applied. Fig. 19 Time variation of steering assistance angle for different Scrub radii To provide more details of the steering input, enlarged view of the encircled portion in Fig. 18 is shown in Fig.19. It shows that when scrub radius is positive, maximum steering input is required to keep the vehicle on course. This effort is less for zero and negative scrub radii, but only marginally. This means the unbalanced steering torque produced is less for the negative scrub radius during braking. Hence, the steering input given by the driver to maintain the vehicle on desired path is also less. Therefore, negative scrub radius is preferable. Though the zero scrub radius
  • 8. SASTECH Journal 18 Volume 9, Issue 2, September 2010 produces least steering disturbance, it is not preferred because the driver will not have the steering feel. 5. CONCLUSIONS Based on the simulation results of SUV for different values of wheel geometry parameters, the following conclusions are drawn: • Increasing positive caster angle increases the mechanical trail, and this trail increases the self aligning torque which improves the steering wheel returnability. As the self-aligning torque acts in the direction opposite to the steering torque, the steering effort of the driver increases. • Negative caster angle reduces the steering effort due to the absence of sufficient aligning torque, but it leads to the wheel wandering problem. • Higher Steering Axis Inclination (SAI) angle improves the steering wheel returnability and reduces the steering effort as well. • Positive camber angle reduces the net lateral force generated at the tires because of the counter-acting camber thrust and hence increases the tendency of a vehicle to exhibit understeer characteristics. • Negative camber angle increases the net lateral force at the tires, the camber thrust acts in the same direction as the tire lateral force. Hence, the negative camber angle increases the handling behaviour of the vehicle and enables sharp cornering. • Toe-in increases the straight-line stability by sacrificing sharp cornering ability. • Toe-out increases the cornerabilty of the vehicle at the cost of straight line stability. • Though the zero scrub radius eliminates the generation of unbalanced steering torque, it is not preferred. The driver loses the steering feel if the scrub radius is zero. • Negative scrub radius produces less steering disturbance and has a stabilising effect. 6. REFERENCES [1] Skip Essma, Steering Effort Analysis of an Oval Racing Track Setup Champ Car, International ADAMS User Conference, 2002. [2] Younggun Cho and Unkoo Lee, Simulation of Steering Kickback Using Component Load Method, SAE technical paper series, Paper number 2004- 01-1097. [3] J Klaps and A J Day, Steering drift and wheel movement during braking static and dynamic measurements, DOI: 10.1243/095440705X5975, 2004. [4] Sang-Hyun Oh, Young-Hee Cho and Gwanghun Gim, Identification of a Vehicle Pull Mechanism, FISITA World Automotive Congress, 2004. [5] Marcelo Prado, Rodivaldo H. Cunha and Alvaro C. Neto, Bus Handling Validation and Analysis Using ADAMS/CAR, Debis humaita IT Services Ltd, 2005. [6] C March and T Shim, Integrated Control of Suspension and Front Steering to Enhance Vehicle, Date published: 11 December 2006 [7] Ragnar Ledesma and Shan Shih. 2001, The Effect of Kingpin Inclination angle and Wheel Offset on Medium-Duty Truck Handling, SAE technical paper series, Paper number 2001-01-2732. [8] Renuka Avachat, J. S. Mahajan and K. Gopalakrishna., Development of methodology for Improvement in Steering Returnability, SAE technical paper series, Paper number 2008-01- 0494. [9] R. Wade Allen, David H. Klyde, Theodore J. Rosenthal and David M. Smith, Estimation of Passenger Vehicle Inertial Properties and Their Effect on Stability and Handling, SAE technical paper series, ISSN 0148-7191, 2003. [10] Klaus Rompe and Edmund Donges, Variation Ranges for the Handling Characteristics of Today’s Passenger Cars, SAE Inc, 1985.