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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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