race seminar
TRANSCRIPT
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Race Car Engineering
2004
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Good Handling is
Grip= tires operating at maximumadhesion to the track surface.
Balance=both ends of the car areoperating harmoniously, the car instillsconfidence and is fun to drive.
Control = the car responds quickly andpredictably to driver inputs, you can makethe car do what you want it to do.
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Grip
Those factors which influence the adhesion of
the tire to the track
Tire Temperature Tire pressure
Camber
Tire loading -- Balance
Tire Compound
Tire performance
Grip enhancers and killers
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Balance
Weight transfer
Relative Front and Rear Slip Angles
Car rotation
Consistency in fast and slow corners
Transitions
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Control
Steering response
Stability
Transition
Responsiveness
Progressiveness Driver comfort and confidence
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Axiom 1
If you want to corner at 2 Gs you have to
support the car for 2 Gs forces.
Regardless of the individual setups, two
similar cars cornering at the same speed
will have to deal with the same forces.
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Outline
Notes on chassis alignment & Record keeping
Grip = Tires: Slip angle and Grip
Balance = Suspension Geometry Static Analysis
= Suspension Dynamics &Weight Transfer
Control = Chassis tuningwithout shocks
= Chassis tuningbump rubbers and
droop limiting= Shocks
Data Loggers = What have I done?
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Myths Fix the end that has the problems first
If a car pushes soften the front springs or ARB
If a car is loose soften the rear
More rebound will make a tire grip better
Anti Roll Bars increase weight transfer
There are soft setups and there are hard setups
Increasing spring rates will make the car hard to
drive Just get out and drive or a different line will solve
the problem
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Facts
Get the car balanced FIRST.
Push or Loose, under-steer or over-steer are
balance problems.
An unbalanced car is a car that is
underutilizing the tires a one end and over
utilizing the tires at the other end.
Setups must be tuned to the prevailing
conditions.
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Most drivers can not tell the difference between animprovement in control and an improvement in grip
A car is supported during cornering through the
combination of Springs, ARBS, Shocks, andDynamic Suspension Geometry.
The line a car takes through a corner is moredependent on the car setup than the drivers
technique.
Consistently fast cars are easy to drive.
More Facts
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Good Setups are the product of hardwork done in a systematic manner over
time.
Good record keeping of setups, details
of each session on the track, and a
record of all changes will tell you what
you did to make the car fast and helpyou correct the car when it is not fast.
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94 FC Citation
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Chassis Setupsrequire
Accuracy:2001 SCCA Runoffs percentage that 10th qualifierwas behind pole FV 1.4%, FF 1.2%, FM 3.5%, FC 1.5%, SRF 1.2% An
acceptable tolerance should be no more than half the qualifying difference,0.6%
Repeatability:Same degree of accuracy, 0.6%
Ease of operation: If it is too hard or cumbersomeyou will not maintain the accuracy through out an event. The system must be
portable.
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You should do your work with a degree
of accuracy that this race was decided.
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Equipment You Make
Ride Height Gauge
Bump Steer Gauge
Alignment Flags
Toe Bars and trammel bars
Trammel Pins
Shock Struts
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Bump Steer
GaugePlate mounts to spindle
As the upright is raised or lowered
any change in toe causes the plate
to twist relative to the indicators.
The indicators rest against the
plate and move in or out as the
plate is moved.
Indicators
Base Plate
Should be heavy.
This tool is accurate within a few
thousandths of an inch.
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Ride Height Gauge
TrammelPin
2 Useful Tools
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Procedures - Sequence
Set ride height
Zero toe settings
Adjust camber
Adjust caster
Zero toe settings and take new readings
Repeat the process until correct
Adjustments are inter related
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Use to set Camber, Toe, Ride Height
Flag Alignment System
1.5 Square Tubing
Plate
Measure the gap
20 in.
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Alignment Notes
Do setups without driver but with
representative fuel load.
Check the setup before and after running thecar.
Have an alignment process for home and a
checking procedure for the track.
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Setup Work
SheetThis is an example of a work
sheet for recording the settings as
you progress through thealignment process
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For Those Who are Prepared
Record the lengths of all suspension arms:
a-arm legs, toe links, radius rods, push rods,
etc. Keep records of all changes to any of these
measurements.
Have these records available at the track incase a suspension arm needs to be replaced
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Suspension
Build Sheet
The idea is to keep good
and accurate records of
the setup
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Chassis Data
Sheet
This Sheet contains information to
help make quick and accurate
adjustments.
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Corner Weight and Ride HeightOnce on the alignment pad proceed by:
Resetting ride height Front ride should be equal side to side
Rear ride should average the target
Setting corner weights
Front weight should be equal
Remember that weight moves diagonally across thechassis
Alternatively set the front weights even while
keeping the chassis level (two scale system). Repeat the process until weights and ride heights
are equal with any discrepancy taken at the rear
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Corner Weight Discrepancy
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Record Keeping
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The Set Up Sheet should contain all
the necessary information to reproducethe exact settings.
Additionally, the set up sheet cancontain any additional information togive a better understanding of the
particular setup.
Set Up Sheet
Page 1
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The Run Sheet is the record
of all the on-track activity.
Additionally it may show thestarting set up as a referenceto help decide what changesare appropriate.
When the session is over,the Run Sheet gives acomplete record, showingthe beginning, allintermediate steps, and theending setup.
The Run Sheet is the recordof the performance for anygiven setup.
Run Sheet
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This is an example of therun sheet
This sheet shows where thesetup was at the beginning of
lap 80.
It shows the lap times foreach outing, the amount offuel, the drivers commentsfor that outing, and the setup
changes that were in effectfor that outing.
Run Sheet
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This is the formal and necessary
review of the time on the track.
Combined with the chassis set downsheet, this sheet is guide to the futurechanges in the set up.
This is the most neglectedaspect of record keeping.The driver always has morepressing things to attendto such as girls and glory.This sheet when properlyexecuted is the best key toa better setup.
Driver Debrief Sheet
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An alternative form of the driver Debrief Sheet
Using a map to make notes on is easier andsometimes more helpful. It is also easier to
leave out important details. Make a check listto be sure that all details of the debrief arecovered
Debrief Map
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G
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Gearing: How to select gears
1. Determine the lowest speed at which you can apply fullpower. This speed should correspond to maximum torquein first gear.
2. Determine the maximum speed any where on the course.
Be sure to allow for drafting other cars and wind direction.
3. Choose the intermediate gears so that the RPM dropbetween successive gears is constant or declines slightlyas speed increases.
4. When going up hill keep RPM higher and avoid shifting.When going down hill use lower RPM by shifting sooneror gear longer.
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Gear Ratios
This Sheet presents both
graphic and analytical toolsfor analysis ratio selections.
The right hand (shaded)portion of the charts showscritical speeds and the RPM
for that speed in each gear.
The graph is a way ofviewing the RPM drop foreach gear change.
The top chart has the ratios
from the Setup Sheet.
The lower chart is used as awork sheet to try alternativeratios.
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Ti Di t ti Sli A l
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Tire DistortionSlip Angle
H d i d l GRIP?
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How does a tire develop GRIP?
Tire
Track Surface
Grip is the result of:
The inter locking of the tire and track
Adhesion of the tire to the track
Tearing force required to separate the
tread material from the tire.
Medium Grip
High Grip
It takes time and pressure for
rubber to conform to the track surface
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Avon TiresFront Tires Rear Tires
150 kg = 331 lbs
250 kg = 551 lbs
350 kg = 772 lbs
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It is all about Grip
Sustainable lateral force
More grip is lost by unloading the inside tires
than is gained by increasing the load on theoutside tires.
Less weight transfer will result in greater totalcornering force.
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Things to Increase Grip:
Press the tire into the track surface
harder.
Increase the time the tire has to conformto the track surface.
Increase adhesion between the tire and
the track surface
Sli k Z f Ti T
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Slick Zone of Tire Temps.
Lateral force due to
friction between tire
and track
Lateral force due to
adhesion of the tire
to the track
Combined lateralforce generated by
the tire and track.
30 50 70 90 110 130 150 170 190 210 230
Decrease in total grip
The decrease in friction is due to the decline in the rigidity of the tread compound as the
compound warms and before the tires begin sticking to the track.
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1. There is no cornering without lateral force
2. Lateral force produces weight transfer
3. Lateral force plus weight transfer produces Slip Angle
Therefore
Handling is about Weight Transfer and Slip Angles
Axiom 2
*When driving a car around a corner*
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Contact Patch DistortionTire Foot Print
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Steering: no slip angle
Balanced or neutral corneringSlip angles are equal
Steering is Full Ackerman Geometry
InstantaneousCenter of Rotation
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Cornering: 5 deg. Slip angle
Outside tires have equalSlip angles. Thus neutral orbalanced handling
Corner radius is constant ( 20.7 ft.)
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Cornering: 8 deg. Slip angle
The steering angle of the frontwheels is nearly constant for all theslip angle conditions (decreasingless than a degree).
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Cornering: combined illustrations
This is the path of theinstantaneous center
of rotation given aconstant radius andvarying slip angle forthe outside tires.
This illustrates a balancedcornering condition.
0 degrees
5 degrees
8 degrees
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Under Steer vs. Over Steer
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Under Steer vs. Over Steer
As you increase your speed through a
corner the steering angle should remain
constant regardless of corner speed. An under-steering car requires ever greater
steering lock with speed.
An over-steering car requires less steeringlock with speed.
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Notice the tire distortion. The
front tires are turned to balancethe front and rear slip angles andadjust the corner radius. The caris tracking around the corner.
Slip Angle
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There is no cornering force
without
and
preload
the
Friction Circle 2.5Acceleration
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Friction Circle
Ft max = maximum G of about
1.25 acceleration and 1.25cornering.
-2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0
Lateral Gs Left Turn
2.0
1.5
1.0
0.5
-0.5
-1.0
-1.5
-2.0
-2.5
Lateral Gs Right Turn
Acceleration
Braking
Ft max
-1.75 -1.25 -0.75 -0.25 0.0 0.75 1.25 1.75 2.25
Camber Shifts the Circle, increasing the
cornering in one direction and decreasing
in the other.
Camber to left
2.5
2.0
1.5
1.0
0.5
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Friction Circle and theCombined G Graph
Speed
Combined Gs
Mid Ohio
Note: Slower and earlier entry to the corner
along with the higher minimum and higherexit speed.
Better utilization of the
carspotential
F i ti Ci l d bi d G
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Friction Circle and combined Gs
Speed
Combined Gs
Throttle
Note: the early setup and power application
Laguna Secca.
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Tire management and understanding
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Tire management and understanding
what they are telling you
New tires care and feeding
Inflation prior to being used.Set pressure as soon as possible after mounting.
Inflate to stretch undersize tires.
Use a tire record sheet - track miles, position,cycles.Direction of rotation.
How to read car balance before you hurt the tires
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Temperature across the tire. Temperatures frontto rear. Tire pressure rise is more accurateindication of car balance.
How to maximize tire life
Determine the balance of a car before the tiresare damaged. Rotate tires after a predeterminednumber of laps. Dismount and reverse on therim.
Recommended number of wheels - 14 - toreduce tire costs
How to read car balance before you hurt the tires
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Getting the tire pressure correct is vital to goodperformance and life. Always use the same gauge.Set pressure of all tires in the morning. Record all
changes in tire pressures. Use the record of tirepressure adjustments to adjust new sets.
Tire pyrometer use
Where to stick the needle. Consistency is vital.Measure quickly after a run.
Tire pressure management
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Tire Pressure Compensation
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Tire Record
If you have a tire
man, make him work.
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Steering
Geometry:
Balance &
Control
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S i A i
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Steering Axis
King Pin Inclination
King Pin Axis
Camber Angle
Front View
St i A i
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Steering Axis
Caster
Front
Caster Trail
Steering Axis
Side View
Steering Axis
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Steering Axis
Scrub Radius
KP Axis at groundSteering TrailSteering offset
Pressure Center Front
Bottom View
Steering Axis
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Steering Axis
Front
Three Dimensions
Steering Axis: So What ?
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Steering Axis: So What ?
Caster causes the front wheels to lean in the
direction of the turn.
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Caster and Steering Axis
Tire Contact Point
Steering Axis
P t
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Plane of
Steering Axis
Pure caster causes
the tire to lean in
the direction
of the turn.
King Pin Inclination (KPI)
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King Pin Inclination (KPI)
Steering Axis
Ground
Plane of Rotation
KPI Pure, no
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KPI Pure, noCaster
Steering Axis
Spindle
Steering Plane
Ground
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KPI + Caster
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Scrub radius causes longitudinal
forces at the contact patch togenerate torque about the steering
axis.Caster combined with trail causes
steer dive when the wheels are
steered from center.
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Steering Axis 2Steering Axis may be offset rearward from the wheelcenter to reduce Caster Trail and thus reduce the steeringeffort.
Steering Axis Offset
Caster Trail = 0
Lola T97 Indy LightsExample
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Straight Ahead
Suspension as in turn 1 MO 2.5 Gs lateral acceleration
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Steering is straight
Roll angle
Suspension displacement istaken from the damperdisplacement data.
.227 deg
Roll Center is 1.366 Right and -.941 below ground
Steering geometry makes a difference
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Roll was .227Now .417 withsteering input
Roll Center was 1.366 to the rightNow it is 3.594 left
As the car is steered the inside front suspension rises and the outside front falls
F ll A k S i G
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Full AckermanSteering Geometry
All wheels steer about a common point
The inside front is turned sharper becauseit must turn about a shorter radius.
Any other geometry results in the a front tire skidding as the vehicle turns
20 deg. 25.7 deg.
Example: corner push with
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a p e: co e pus w t
exit snap over steer
Driver says entry all right, mid corner mild understeer, but corner exit the rear steps out.
Tire temperatures are normal or front tires are
cooler than the rear. Tire pressure rise for fronttires is same or less than the rear.
Problem is that the car is under steering. But atthe exit, as the steering wheel is straightened, the
grip on the outside front tire increases causing thefront to turn more in the direction that the frontwheels are headed. Result the rear steps out.
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More about Camber
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More about Camber Camber causes an uneven distribution
of pressure on the contact patch.
The inner edge of the tire is compressedmore than the outer edge.
The tire is composed of two springs (theside walls) supporting the contact patch(tread).
The uneven pressure results in alateral force, Thrust, in the directionof the camber.
The thrust preloads the slip anglecausing lateral stability.
Camber increases grip by increasingthe load on the inner edge of the tire.
Camber Shifts the friction Circle rightthus increasing lateral grip.
Thrust
More about Toe
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More about Toe Toe preloads the Slip Angle.
Slip angle creates lateral gripand lateral thrust.
Slip angle increases lateralstability.
Front toe out counteracts frontcamber thrust.
Rear toe out can help cornertransitions.
On a driven wheel toe increases
rolling resistance. On a drive wheel toe has little
effect.
Front
Toe in
Toe out
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Ch i
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Chassis
Balance
Chassis
Dynamics
Chassis Dynamic Movements:
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6 Degrees of Freedom
Movement Along the three axis'sLongitudinal axis Acceleration & DecelerationLateral axis Lateral Acceleration or TurningVertical axis Change in ride height
Rotation about the three axisRoll about the longitudinal axisPitch about the lateral axis
Yaw about the vertical axis
A vehicle suspension system controls the movementsof the vehicle in all three axiss, restraining the six
degrees of freedom.
Chassis Dynamic Movements:
Chassis Dynamic Movements:
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Chassis Dynamic Movements:
Controlling Chassis Dynamic Movement
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g yis the key to a
Balanced Setup.
Controlling weight transfer, Controlling slip angle development.
Suspension Geometry, Springing and Dampingare the main mechanisms to achieve balance.
This is done by:
Suspension Kinematics 1
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Instantaneous Center
The instantaneous point about which an individualwheel rotates in bump (vertically).
Roll Center
The roll center is the intersection of the two linesformed between the tire contact patch and theirrespective instantaneous centers.
It is possible for the roll center to be outside the track ofthe car.
Mean Roll Center Height
The point about which the body rolls.
The Mean Roll Center starts on the vertical center lineof the chassis and at the same height as the Roll Centerand can shift within the width of the track.
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Suspension Kinematics 3
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Theroll centeris the point through which tire forces act on the sprung
mass of the car
Rollover moment arm is the distance from the Center of Gravity to the
Roll Center.
Roll resistance arm is the distance from the center of the chassis to the
pressure center of the tire at ground level because the springs and anti
roll bars act at the tire pressure center. Shifts with the mean roll center.
Jacking is the vertical component of the reaction forces of the tire
pressure center to the roll center.
Suspension Kinematics 3
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Suspension Dynamics
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Suspension Dynamics
Pull the handle slowly and the glass will move across the table.
Pull the glass faster and the glass will fall over.
Pull the handle fast enough and the glass stays put.
Suspension Dynamics
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Suspension Dynamics
Stationary
Pull
Un-sprung Mass Weight Transfer
CG
Lateral Acceleration acts through the center of gravity ( )
2 Wheels
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Pull
CG
Lateral Acceleration
Reactive Force / Grip
Stationary
Weight Transfer
Weight Transfer
Sprung Mass
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Pull
Lateral Force
Sprung Mass weight transfer
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with Springs
R/C
Pull
Lateral Force
Traction Force acts through the R/C
Un-sprung Mass
Weight Transfer
Sprung Mass Weight Transfer
Geometric Weight Transfer
J ki F
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Jacking Force
R/C
Geometric Weight Transfer
J ki F
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Jacking Force
R/C
Traction Force acts through the R/C
Traction/Grip Forces exert a horizontal and a vertical force.
The vertical component is the jacking force.
Pull
Un-sprung Mass
Weight Transfer
Sprung Mass
Geometric MassLateral Force
Lateral Weight Transfer
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Un-sprung Weight Transfer = (un-sprung mass * Lateral
Acceleration * non-suspended mass Cg height ) / Track
Geometric Weight Transfer = ( Sprung mass * LateralAcceleration * Roll Center Height) / Track
Sprung Mass Weight Transfer = (Sprung mass * (Sprung
mass CgRoll Center)) / Track
Geometric Weight Transfer is the source of the Jacking
effect.
There are three components of lateral weight transfer
Jacking Effects:
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g
Weight Transfer without roll effects.
Shock movement results from the vertical (up or down)component of the jacking effect.
This will affect roll angles.
Will affect mean roll center location
Because the weight transfer is immediate, tire slipangles are impacted immediately
This will affect grip
This will affect balance
1 / Chassis Torsion Rate = 1/ torsion rate front + 1/ torsion rate rear Chassis Flex reduces the effective roll resistance
1/Total Front Roll Rate = 1/Front combined rate of Springs and ARBs +1/ Front Chassis Torsion Rate
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Some Examples
Use Jacking to build tire temperatures
Changing the Jacking effect can change the
balance of a car because of the rate of slipangle change.
Use ride height and jacking effect to varyhandling balance in different corners.
Suspension pickup changes to change RCheight and Jacking effects.
Kinematics Illustrated
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Rollover Moment Arm
Roll Resistance ArmJacking Forces
Lateral Acceleration
Tire Reaction Forces
Weight Transfer
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Weight Transfer
Lateral Acceleration
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Longitudinal Weight Transfer
Anti Dive & Anti Squat = jacking in thelongitudinal axis
Anti dive substitutes geometric weighttransfer for sprung mass weight transfer. Itdoes not stop or reduce weight transfer.
The suspension does not know the
difference between longitudinal resistancedue to braking and due to turning.
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Ride Height - What Me Worry
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Ride Height What Me Worry
You bet
All cornering forces act through the rollcenter.
Springs, anti-roll bars, tire pressures,and shocks change only the rollresistance.
Ride height changes the rollover moment
arm and jacking by changing the rollcenter location.
Setup Sheet for
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Mitchell Sim.
Mitchell Simulation
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Mitchell Sim. 2 Ride Height -.25 in.
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The original was 1.700 Gs lateral
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What is the cost of imbalance?
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The red dot represents 3% unused potential in the right front.
That is .14 ft./sec., 8.4 ft./min., or 336 feet at the end of a 40 min. race.
Summary of Sim. # 1 to 4
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Deceleration due Speed
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1
0 Gs
-1
to turning in
The car is decelerating at-.3 Gs from turning resistance
alone.
Inline Acceleration
Brake Pressure
Lateral Accel.
Steering
Mid Ohio
G t A ti Di
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Geometry: no Anti Dive
Instantaneous Axis of Front Suspension
Upper A-arm Plane
Lower A-arm Plane
Chassis Centerline
Cg
Axis's at chassis centerline
Of the upper and lower A-arms
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Suspension Geometry in F1N t th j ki ff t th f t i
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Note the jacking effect on the front suspension
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Enough Theory:
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g y
Numbers you can use.
Spring Rates
ARB Rates
Chassis Torsion Rate Tire Spring Rate
Motion Ratio = Spring / Wheel movement
Velocity Ratio = Wheel / Spring movementAllow us to derive the following:
Ride Rate / Spring Rate at Tire
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Wheel Rate = (Motion ratio)^2*Spring Rate
Wheel Rate at the contact patch (WRc) = (Wheel Rate) *(Tire Spring Rate) / (Wheel Rate + Tire Spring Rate)or 1/WRc = 1/WR + 1/TR
Ratio 1 = WRc/ Corner Sprung Mass
WRc / Ground Clearance = Constant (close enough to be useful) This allows you to calculate new ride height for any change of the
WRc.
From page 2 of the Setup Sheet
Excel Workbook
Roll ResistanceThose things that resist roll
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Those things that resist roll
Spring Wheel Rates in ft. lbs./degree = (Wheel Rate *( Sin(1) * Track) / 12)
Anti Roll Bar Wheel Rates in ft. lbs./degree = Vertical
Spring Rate of ARB * ( Sin(1) * Track) / 12
Roll Rate of Tire at Tire Contact Patch in ft. lbs./degree =Tire Spring Rate * ( Sin(1) * Track) / 12
Chassis Torsion Rates in ft. lbs./degree (this is calculated
in ft. lbs. / degree)
Total Resistance at one end is the sum of 7 spring rates.
Magic Ratios
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Spring Rate Split = Front Spring Rate / Rear Spring Rate
Roll Stiffness Split = Front Roll Stiffness / (Front Roll Stiffness + Rear Roll Stiffness
% Heave = Front Spring Rate at the Tire / (Front Spring Rate Tire + Rear Spring Rate Tire)*100
% Corner Rate / Corner Weight = (Spring Rate/ Sprung Corner Weight) * 100
% Corner Roll / Corner Weight = (Roll Rate / Sprung Corner Weight) * 100
g
Set up Sheet
Roll Stiffness
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Roll Stiffness
This sheet is derived from thesetup sheet.
Here is an analysis of the set upthat is represented by the set up
sheet.
Spring Rate Change
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Double Spring Rates and
Balance the car by adjusting ARBs
Changing Spring rates without changing Ride Height results in a
change of both Spring Rate and Dynamic Ride Height.
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Summary of Sim # 1 to 5
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Summary of Sim. # 1 to 5
Sim. 6 ARB Change
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The front ARB is increased to max.
that would still maintain 1.700 Gs
Sim. 7 ARB change
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Rear ARB is removed and the car is balanced by adjusting the front ARB.
Summary of Sim. changes
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Set Up Sheet Page 3
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S i F i ti
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Suspension Friction
&Torsional Rigidity
2 overlooked and little
understood variables
Suspension Friction
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Suspension Friction
Suspension friction is the resistance of the
suspension system to any movement. It can
be measured and Friction kills grip.
Grip is lost because small changes in tire
loading are not absorbed by the suspension
system.
Friction Test the Suspension
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Friction Test the Suspension
Press the chassis down and release thepressure.
Measure the ride height.
Lift the chassis and let it settle gently.
Measure the ride height.
(The difference in the ride height) * 2 *(spring rate at the wheel) = Force requiredto move the chassis.
Excessive Rebound or Suspension friction Excessive Rebound does not allow the tire to follow the
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ground
At speed and over short time intervals the chassis is rigid in spacepreventing the tire from following depressions in the track surface
The car jacks down over successive bumps over a shorttime period.
The frequency of bumps is greater than the chassis frequency of
response. On successive bumps the force required to displace the suspensionincreases because of the residual energy retained by the shocks andsprings.
The car skips from top to top.
The lack of compliance causes the contact patch rubber toloose grip on the surface of the track.
With a under sprung car, adding the rebound feels good because the car gains
support and is more controllable and this improvement is sufficient to mask the loss
of grip.
Chassis Stiffness
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Chassis Stiffness
Chassis stiffness determines the amount of
roll resistance that can be developed.
The springs and ARB effectiveness isreduced by the torsional rate of the chassis.
A weak chassis requires higher spring and ARB
rates. These rates may be too high to give
acceptable ride and grip levels.
Chassis Torsion
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For a chassis of 1500 ft.-lbs./deg. the roll rates are Front 454 and Rear 315 ft.-lbs./deg.
Control:Requires that driveri t lt i h i h i
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inputs result in changes in chassis
attitude. Steering response
Stability
Transition
Responsiveness
A weak chassis lowers the frequency of the chassisin roll thus the time/distance it takes for a driver
input to result in a change in attitude increases
Vary directly with
torsional rigidity
FEA model of 94 Citation FF/FC frame
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94 FF
94 Citation at Mid Ohio
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94 Citation at Mid Ohio
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Spring Preload or Droop Limiting
Any spring preload changes only the amount of
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Any spring preload changes only the amount ofdroop before the shock tops out.
Preload that exceeds the load on the spring tosupport the loaded car results in zero droop. Atthis point the suspension moves only when thepreload force is exceeded.
When the shock tops out the dynamic loadingschange:
Roll resistance from springs and ARB is unchanged,
Roll resistance from tires is unchanged, Mean roll center shifts toward inner tire pressure center,
Jacking force decreases and roll center declines.
Spring Pre Load Chart Thread Pitch = 1 / number of threads per inchLoad = ((# of Flats) + ( # of Turns / Flats)) /( Thread Pitch / Flats per Turn)
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Droop Limiting
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Physical roll center is inside tire groundlevel
Additional roll results in decrease in ride
height Change in roll resistancethe decrease in
ride height reduces jacking effect
Change in weight transfer or wedging
Droop Limited Rear SuspensionIndy Lights at Mid Ohio, Scott Dixon driver
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Right Rear Shock topping out
Damper Movement in mm. 0 = full droop
Left Rear
Right Front
Left Front
Speed
Notice Change in Ride Height with Speed
Bump Rubbers: use them carefully
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Self dampened springs
Rising Rate springs
The spring rate is a function of diameter,
length and the material used.
Larger diameter = higher spring rate
Longer length = less change in rate with
displacementBy shaping the race can be altered
Displacement ( ins.), loads (lbs.), and rate (lbs./ins.)
Dynamics Ohlins Penske
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Disp. Load Rate Load Rate Load Rate
.039 2.2 56 10 254 10 254
.079 16.5 363 32 559 20 254
.118 32.12 397 50 457 28 203
.157 58.96 682 63 330 32 102
.197 91.74 833 80 432 38 152
.236 148.5 1442 96 406 42 102
.276 247.5 2515 48 152
Bump Rubbers
Bump Rubbers and Packer
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Packer in 1/8th in.
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Fix first problems first
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Fix first problems first
Straight line stability
Braking
Corner Entry
Mid Corner
Corner ExitBe certain you identify where the problems start.
Be sure to analyze the entire corner instead of concentratingon the problem area.
Tuning at trackGround Clearance: Initial setting of the ride height.
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g g
Spring rates: Road springs, ARBs, Bump Rubbers,Tires pressures
Suspension travel: How much bump and droop preload
Ride height: Adjusting Center of Gravity, Roll Centers, and Jacking Effects
Tire Presentation to the ground contact patchCamber, caster, KPI, Roll Toe, Tire Pressure
Aero Loads and Balance Flat bottom ground effectsRake and ride height
Weight Distribution and Moment of Inertia in YawFuel load, ballast position, driver seating position
Algorithm for chassis adjustments
Identify the problem to be solved.
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Identify the handling features not to change. Identify the attitude change that will solve
the handling problem.
List the changes that will lead to the attitudechange.
Evaluate the proposed changes.
Will it fix the problem.What are the adverse effects from the change.
Chassis Changes
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g
Most solutions will require changing two ormore variables.
Make sure that when you make a change
that you identify all the variables you havechanged.
Spring changes require ride height changes.
Wing changes require ride height changes.ARB changes may require spring changes.
Real World Examples 1 Corner exit over steer
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Is it throttle induced? Change balance of rear ARB and rear springs Rear ride height
Is it steering induced?
More roll resistance front Run Sheet information:
Entry is good, mid corner is alright, but I cant apply powerwithout the rear stepping out. The tire temps show a slight push -avg. front temps 15 degrees higher than rear.
What to do? Entry alright, mid corner same, but as I exit the corner the rear
steps out. Temps show a slight under steer. What to do?
Real World Examples 2 High Speed over steer / low speed under steer
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Insufficient roll control: stiffer springs and/or ARBs
Goal is to get the car to under steer every where thenfix that problem.
Adjust roll center through ride height changes.
Run Sheet information:
Car is not too good. I have a hard time getting the car to
turn in to the slow corners and get down to the apex.
The fast corners the rear wants to come out about mid
corner of later. Tire temps show push and are not
particularly high.
What to do?
Elkhart / Gingerman Springs Example 3
Over-steer in mid corner power on at both tracks.
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Elkhart CarouselTrack induced Over Steer
Gingerman sweepersThrottle induced Over Steer
Increase spring rate & Lower Rear Ride Height
Lower Spring rate & Raise Rear Ride Height
Under-Steer: a second look Re think
Under-steer because the front tires are under
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utilized.
Stiffer front roll resistance
Under-steer because the front tires are over
stressed.
Less front roll resistance or more rear roll
resistance
Driver induced under-steer.
Does the driver lack confidence in the setup?
Can the driver change technique?
Driver induced Under Steer
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Difference in minimum speed
Higher lateral G loading late in the corner
Problem:
Carrying too much speed into the corner.
Not getting enough rotation or yaw in to the car prior to apex.
Too much of the cornering effort is done near the corner exit
Wings
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Aerodynamic Devices - basicsGround effects All cars are ground effects cars. The larger the plan area of the car the greater
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All cars are ground effects cars. The larger the plan area of the car the greaterthe down-force possible.
Center of Pressurevaries with chassis rake (pitch) Down-force varies with ride height.
Wings Front wings and end plates The drag from the front wings is offset by the reduction in the drag associatedwith the rest of the car. Front wings frequently stall at angles of 6 degrees.
Rear Wings and end plates The air flow to the rear wing is seldom horizontal but is down swept frompassing over the rest of the car. Thus the optimum attack angle might be nosehigh. Rear wing drag increases with down-force.
Measuring wing angles Include the Gurney/wicker in the wing angle. Down force will be close when theangles are equal with and without Gurneys.
Front Wings
Rear WingWings:
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Front Wings
GurneyFlap
Slider
Dual Element
Dual Element Upper
Single Element Lower
Mitchell Sim.: 100 lbs Down Force
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Flat bottom ground effects, winged formula car
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Flat bottom with diffusers and tunnels
Ground Effects
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Adjust Ride Height with air density
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Standard Atmosphere -29.95 Hg and 15 C (68 F)
Barometric Pressurelower pressure is lower airdensity
Temperature AdjustmentHigher Temp lessdown force
Humidity AdjustmentHigher humidity lowersair density
Ride height / air density ratio is constant
Aero Adjustment of Ride Height
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Real World Example 4
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Push Low to Medium Speed Turns.
Imbalance in high speed and low speedhandling.
Goal: better low speed balance withoutupsetting the high speed balance
Solution:
More rear wing and higher rear ride height.
The improved corner exit speed offsets the lossin top speed.
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Fundamentals of Shock Absorbers
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Various types of shocksDouble or Twin TubeGas Filled with internal and external Gas Chambers
Types of adjustersNeedle valves adjustersSpring preload adjustersBlow Off adjusters
Canister pressureWhy canister pressureLow speed bump adjuster
Piston StyleLinear or Digressive
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Linear or Digressive
Flat or Dished FaceCupped FaceBleed Holes &/or Bleed Shims
Adjustment RangesLow SpeedMid rangeHigh Speed
Piston Style
Damper Fundamentals (2)
1
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y
1. Linear 2. High-flow linear3. Digressive / linear4. Digressive / digressive5. Velocity-dependent (VDP)
6. Digressive blow-off Bleed holes &/or bleed shims
Adjustment Ranges Low-speed piston or needle bleeds
Mid-range High-speed
2
3
4
5
6
BLEEDEFFECT
BLEEDEFFECTS
Rebound Canister in compression or bump
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Penske 8760
Compression or Bump Rebound
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Ohlins T44
Shock Movement
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Shock Velocity
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Shock Histogram
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Most damper motion is at velocities below 1 in/sec.
This is the most critical range to develop grip and handling
Compression ends and rebound stroke starts
Crank is at top
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Force vs. Velocity
Compression stroke starts
Compression reaches max. velocity
This is the midpoint in the stroke
Gap shows gas pressure effect
Rebound reaches max.
Gap shows the hysteresis
Average Force vs. Velocity
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g y
These curves are the average of the curves in the previous slide
These curve shows the same shock but at a different crank rotational velocity
1 in/sec. Max velocity
5 in/sec. Max velocity
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Force vs. Displacement
Dyno crank position bottom of strokeCrank is at max velocity compression stroke
Dyno is at top of strokeMax velocity Rebound
Note the sloop and sharp brake on curve
Stroke at 5 in/sec.
Stroke at 1 in/sec.
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Gas Pressure NOT Zeroed
The offset shows the nose pressure or gas pressure that the shock exerts on the dyno load cell..
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Front & Rear Shocks
Front Shock @ 5 in/sec
Front Shock @ 1 in/sec.
Rear Shock @ 5 in/sec.
Rear Shock @ 1 in/sec.
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Critical Damping
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That amount of damping which results in thequickest stabilization at new position.
That amount of damping that will maximize GRIP
That amount of damping that stops the chassis
over shooting.
Rebound Kills Grip Insufficient Rebound damping allows the
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Insufficient Rebound damping allows the
chassis to over shoot as the spring extend.This results in a loss of grip as the wheel
follows the chassis upward.
Excessive rebound retards the downwardmovement of the wheel.
This results in a loss of grip as the wheel
follows the chassis and not the road surface.
More rebound does not make the tire stick to the ground
Shock Tuning 1
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High speed canister bump -- is there enough support or too harsh overbumps
Low speed Canister Bumptoo stiff or too soft , too harsh or not enough
support
Reboundalways try to use the least amount of rebound possible.
More rebound than optimum reduces grip.
Low Speed Bump (bleed)optimizes grip. With too much bleed the car
does not respond and feels unsupported. Too little bleed reduces grip
and causes the tire alternate between grip and slip.
Adjust Low Speed Bump and Rebound together, both stiffer or softer, to
optimize damping for track conditions.
AdjustmentMore Compression More Rebound
More Canister Larger Bleed
Shock Tuning 2
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More Compression More ReboundPressure Area
Location High-speed Low-speed High-speed Low-speed
Front
More front un-
sprung mass
control, possible
excess
suspension loads
over bumps orcurbs, possible
loss of grip over
bum s
Less front chassis
drop, less trailing-
throttle oversteer,
possible loss ofgrip
Better front un-
sprung mass
control, possible
loss of front gripover bumps
Less front chassis
rise, less power-
on understeer,
possible loss ofgrip
More front height
control, possibly
less front grip
Shallower nose
angle, more front
grip, possible loss
of low-speed frontchassis control
Rear
More rear un-
sprung mass
control, possible
excesssuspension loads
over bumps or
curbs, possible
loss of grip over
bum s
Less rear chassis
drop, less power-on understeer,
possible loss of
grip
Better rear un-
sprung masscontrol, possible
loss of rear grip
over bumps
Less rear chassis
rise, less trailing-throttle oversteer,
possible loss of
grip
More rear heightcontrol, possibly
less rear grip
Shallower nose
angle, more reargrip, possible loss
of low-speed rear
chassis control
Data Loggers What data loggers wont do:
Data loggers wont tell you whats wrong,
Data loggers wont tell you what to do
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Data loggers won t tell you what to do.
What will a data logger tell you: Data logging tells you what the sensors read at various points around the
track and in a fixed time frame.
You must interpret the data.
The data loggers record the resultof the interaction of thedriver, the car and the track.
The data logger takes a snap shot of all the sensors at a
point in time, often recording the readings sequentially.
The driver and the data logger are seldom in sync witheach other. The driver operates in anticipation of what he
expects the car to do and adjusts according to his senses.
Data Logging 2 Car Performance Channels
Time recording hertz
Speed - wheel speed sensor Track Map
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Speed wheel speed sensor
Accelerometerlateral and longitudinal
Driver Performance Channels Steering wheel movement
Throttle position
Brake Pressure
Other Data Channels Damper Pots
Strain gauges
Ride height sensors Gyro
Vertical accelerometer
Track Map
Fundamental Analysis
Advanced Analysis
Math Channels
Math Channels
Wh l M D i * M i R i
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Wheel Movement = Damper motion * Motion Ratio
Chassis Roll = (L Wheel mvt.R Wheel mvt.)/ Track
Chassis Pitch = (LF Wheel mvt + RF Wheel mvt) / 2
( LR Wheel mvt + RR Wheel mvt) / 2
Speed Steer = Steering Angle * MPH * (MPH)^.5 Corner Radius = (1.467 * MPH)^2 / (32.167 * Lateral Gs)
Combined Gs = ((Lateral Gs)^2 +
(Longitudinal Gs)^2)^.5
Gear = MPH / (RPM / 1000)
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