13 TNO Swift Tyre Ride Handling

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    Abstract ADAMS Users Conference 19-21 June, 2000, Orlando van Oosten, Pacejka, TNO

    SWIFT-Tyre: An accurate tyre model for ride and handling studies also

    at higher frequencies and short road wavelengths

    Authors: Jan J.M. van Oosten, Hans B. Pacejka

    As is well known, Magic Formula tyre modelling (MF-Tyre is a part of ADAMS/Tire) allows an

    accurate and efficient description of tyre-road interaction forces required for any usual vehicle

    handling simulation. When it comes to modelling of tyre behaviour at higher frequencies and

    short road obstacles, which are important for vehicle ride assessment, advanced chassis controlsystems and chassis system vibrations, a more sophisticated approach is required.

    In close co-operation with the Delft University of Technology and with involvement of nine

    automotive companies, TNO has developed the SWIFT (Short Wavelength Intermediate

    Frequency Tyre) model, which is based upon a rigid ring type of tyre model. The SWIFT model

    is able to describe dynamic tyre behaviour for in-plane (longitudinal and vertical) and out-of-

    plane (lateral, camber and steering) motions up to about 60 Hz, and for road obstacles with short

    wavelength. For reasons of accuracy and calculation speed the SWIFT model has beenprogrammed as a semi-empirical model which is derived using advanced physical models and

    dedicated high frequency tyre measurements to assess speed effects in tyre behaviour.

    During the development of SWIFT much attention has been paid to validation of the model with

    advanced high frequency tyre testing. The extensive testing programme showed that tyre model

    parameter assessment by a modal analysis approach is certainly not sufficient for accurate tyre

    F&M modelling.

    Similar to the MF-Tyre module, the SWIFT-Tyre has been linked to ADAMS using a Standard

    Tyre Interface and has been extensively validated with tyre measurements especially performedwith high frequency excitations. In addition robustness, user friendly-ness and backward

    compatibility with MF-Tyre have been given high priority.

    Typical applications of the SWIFT-Tyre module are:

    active chassis control system development,

    braking/driving behaviour during cornering on uneven roads,

    vehicle ride assessment using sharp and short road obstacles, suspension vibration analysis (i.e. steering oscillations)

    In this presentation the SWIFT tyre model will be explained as well as a comparison between the

    model and the measurements will be shown. In addition, the use of the SWIFT tyre model in

    ADAMS simulation models will be illustrated for ABS braking, while cornering over uneven

    d

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    2000 International ADAMS User Conference

    SWIFT-Tyre

    An accurate tyre model for ride andhandling studies for high frequencies and

    short road wavelengths

    Jan J.M. van Oosten

    Hans B. Pacejka

    International ADAMS User Conference

    June 19-21, 2000, Orlando

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    Content

    Current DELFT-TYRE modelling

    SWIFT-Tyre

    the objectives

    the model

    experiments

    validation

    SWIFT modelling in ADAMS

    Availability

    Concluding

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    Design and analysis

    environment tosupport in

    optimization of the

    vehicle-tyre system

    MF-Tyre

    MF-MCTyre

    MF-Tool+

    MF-MCTool+

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    DELFT-TYREcurrent models

    MF-Tyre and MF-MCTyre:

    Steady state and transient tyre modelling

    for all basic vehicle handling studies up to 8 Hz

    New version of MF-Tyre 5.2:

    vertical stiffness depends on slip angle and long. slip

    growth of tyre radius by rotational speed

    rolling resistance depends on speed

    improved combined cornering and braking/driving

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    Next step:

    SWIFT-Tyre

    Short Wavelength Intermediate Frequency Tyre

    Objective:

    A general pragmatic tyre model (3D) for thedevelopment of active chassis control systems

    and optimising vehicle ride properties

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    SWIFT-Tyreapplications

    Dynamic braking/driving (ABS/TCS)

    Vehicle Dynamic Control (VDC/ESP)

    Ride comfort & vibrations

    Suspension and steering system design:

    combined dynamic braking, cornering and ride

    4 post rig ride testing

    . All kinds of tyres

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    Rigid Ring modelling for tyre belt vibrations

    up to 60 Hz Semi-emperical for optimal accuracy and

    calculation speed

    Elaborate contact model for short wavelengthslip variations (wavelengths > 0.2 m)

    Effective inputs for discrete obstacles

    Magic Formula for slip force calculation

    Validation with realistic tyre test data

    SWIFT-TyreModel description

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    SWIFT-TyreModel description

    belt

    wheel rim

    Z

    V

    reff

    eff

    Weff

    Fx

    Fz

    eff. road plane actual road surface

    residual springs

    *FyC

    wheel plane

    belt

    Mz

    VcV*

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    SWIFT-TyreIn- and out-of-plane

    Non-linear vertical force

    Load and speed dependent belt frequencies

    Tyre radius growth with speed

    Vertical force influenced by contact pointdisplacement

    Slip dependent transient behaviour

    Eigenfrequencies of the tyre belt

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    SWIFT-TyreShort obstacles

    lengthening

    response

    swallowing

    obstacles(enveloping)

    filtered responseat axle

    road profile

    filteringunevenesses

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    SWIFT-TyreShort obstacles

    Effective input approach:

    Road profile is transferred into effective inputs

    Effective plane height

    Effective plane angle

    Vertical and long.

    tyre forces

    Rolling radius

    variations

    20002000

    00

    40004000

    60006000

    --100100-200-200

    00 100100 200200

    00

    55

    1010

    positionposition[mm][mm]

    verticalvertical

    loadload

    [N][N]

    effectiveeffective

    planeplane

    heightheight

    [mm][mm]

    trapezoid cleattrapezoid cleat

    10 mm10 mm30 mm30 mm

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    SWIFT-TyreExperiments

    &

    Validation

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    F&M testingfor SWIFT parameters

    Dynamic tyre testing for SWIFT parameters

    (at different loads and speeds)

    dynamic braking

    cleat testing

    dynamic cornering

    effective input tests

    Model analysis approach

    Identified frequencies not representative for tyre

    behaviour under driving conditions

    Not suitable to assess speed and load effects

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    ValidationStep wise brake torque input

    0 0.5 1 1.5 2 2.5-500

    0

    500

    1000

    1500

    2000

    2500

    3000Longitudinal force [N]

    time [s]

    measuredSWIFT-Tyre

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    ValidationStep wise brake torque input

    amplitude / [N/Nm]F Mx b

    frequency [Hz]

    phase [deg]

    0

    10

    20

    30

    -180

    -90

    0

    90

    180

    0 20 40 60 80 100

    in-phaserotational

    mode

    out-of-phaserotational

    mode

    measuredSWIFT-Tyre

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    ValidationVertical force when rolling over cleat

    --22000000

    --11550000

    --11000000

    --550000

    00

    550000

    11000000

    11550000

    22000000

    time [s]time [s]-0.05-0.05 0.00.0 0.050.05 0.100.10

    time [s]time [s]-0.05-0.05 0.00.0 0.050.05 0.100.10

    time [s]time [s]-0.05-0.05 0.00.0 0.050.05 0.100.10

    VV= 25 km/h= 25 km/h VV= 39 km/h= 39 km/h VV= 59 km/h= 59 km/h

    Vertical forceVertical force [N][N]

    measuredSWIFT-Tyre

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    ValidationVertical force when rolling over cleat

    00

    2200

    4400

    6600

    frequencyfrequency [Hz][Hz] frequencyfrequency [Hz][Hz] frequencyfrequency [Hz][Hz]00 5050 100100 150150 00 5050 100100 150150 00 5050 100100 150150

    verticalvertical firstfirst

    flexibleflexible

    modemode

    22ndnd??

    VV= 25 km/h= 25 km/h

    VV= 39 km/h= 39 km/h

    VV= 59 km/h= 59 km/h

    Auto-Auto-spectral density vertical forcespectral density vertical force [N/Hz][N/Hz]

    measuredSWIFT-Tyre

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    ValidationLong. force when rolling over cleat

    -4

    -3

    -2

    -1

    0

    1

    2

    3

    4

    time [s]-0.05 0.0 0.05 0.10

    time [s]-0.05 0.0 0.05 0.10

    time [s]-0.05 0.0 0.05 0.10

    V= 25 km/h V= 39 km/h V= 59 km/h

    Wheel velocity during passage over a trapezoid cleat

    measuredSWIFT-Tyre

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    ValidationLateral force due to slip angle step

    0.2 0.4 0.6 0.8 1 1.2 1.4-500

    0

    500

    1000

    1500

    2000

    2500

    3000Lateral force [N] (detail) Fz=4000 N, V=92 km/h

    measuredSWIFT-Tyre

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    SWIFT in ADAMSimplementationNew Standard Tyre Interface:

    More than 2 states possible At least 2 x faster

    (benchmark with MF-Tyre)

    More flexible

    GUI allows change of tyre

    and road parameters

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    SWIFT in ADAMSexample

    Quarter vehicle model

    Tyre rolling over cleats

    with 6 slip angle

    ABS-pulse braking

    Vertical load variationsduring cornering

    Interaction between

    steering and braking

    forces

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    SWIFT in ADAMSexample

    10 15 20-2000

    0

    2000Road steps input

    Fx[N]

    10 15 20-2000

    200400600800

    Fy[N]

    10 15 200

    5000

    Fz[N]

    10 15 20

    0

    0.02

    0.04

    Height[m]

    Travelled distance [m]

    2 2.5 3 3.5-6000-4000-20000

    20004000

    Pulse brake input

    Fx[N]

    2 2.5 3 3.5500

    600

    700

    Fy[N]

    2 2.5 3 3.54000

    4500

    5000

    Fz[N]

    2 2.5 3 3.5

    -1000

    -500

    0

    Torque[Nm]

    Time [s]

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    ABS simulationcomparison of tyre models

    1.5 2 2.5 3 3.5 460

    80

    120Wheel speed and brake torque during ABS simulation with various tyre models

    1.5 2 2.5 3 3.5 4-1000

    -500

    0

    500

    1000

    Time [s]

    Braketo

    rque[Nm]

    100

    Wheelrotationalspee

    d[rad/s]

    SWIFT-Tyre

    MF-Tyre, Transient

    MF-Tyre, Steady State

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    Availability

    Now:

    SWIFT-Tyre

    SWIFT-Datasets

    First half 2000:

    SWIFT-Tool

    SWIFT-Fit

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    Concluding...

    SWIFT is next step in DELFT-TYRE

    modelling

    robust, fast and accurate tyre modelling for

    ride and advanced chassis control applications

    validated with advanced dynamic tyre testing

    parameter assessment under realistic driving

    conditions

    allows state of the art tyre modelling by any

    ADAMS user