A New Tire Model with an Application in Vehicle Dynamics Studies

Bakker, Egbert; Pacejka, Hans B.; Lidner, Lars

doi:10.4271/890087

Cited by 489 publications

(265 citation statements)

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“…During pure lateral slip (κ = 0), the expres sion for the lateral force can be written as F y = F y (α , F z ). This can be described by the Magic Formula (Pacejka 2002, Bakker et al 1989, which is shown in Figure 2.4. Note that the figure shows the normalized force,…”

Section: Linear Modelmentioning

confidence: 99%

Untripped SUV rollover detection and prevention

Johansson

Gäfvert²

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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Untripped SUV (Sport Utility Vehicle) rollovers are dangerous and possibly lethal accidents. This thesis address some issues in the detection and prevention of untripped SUV rollovers.Before a rollover can occur, the wheels on one side must lose road contact. The wheel lift off situation is chosen as the critical situation to be avoided. If wheel lift off is prevented, then rollover is prevented as well.A new kinetic energy based measure, that indicates an imminent wheel lift off, is introduced. This measure is used by a gain scheduled LQ (Linear Quadratic) controller to prevent wheel lift off. The LQ controller outputs the desired changes of the forces acting on the chassis. These force changes are mapped to braking and traction system commands by a control allocator. Three different control alloca tion approaches were evaluated, including a new convex optimization approach. The convex optimization approach seems to work well. The controller is capable of preventing wheel lift off in the simulated test cases, and the results are promising.

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Section: Linear Modelmentioning

confidence: 99%

Untripped SUV rollover detection and prevention

Johansson

Gäfvert²

2004

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

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“…The Magic Formula was proposed by Bakker, Pacejka and Linder (1989) to describe the tyre's handling characteristics in one formula. In this research the Magic Formula will be discussed in terms of the tyre's lateral force vs. slip angle relationship, which directly affects the vehicle's handling and steering response.…”

Section: Magic Formula Fitsmentioning

confidence: 99%

“…The non-linear MSC.ADAMS Pacejka 89 tyre model (Bakker, Pacejka and Linder, 1989) is fitted to measured tyre data, and used within the model. The tyre's vertical dynamics and load dependent lateral dynamics are considered in this model.…”

Section: Mathematical Vehicle Modelmentioning

confidence: 99%

The relationship between vehicle yaw acceleration response and steering velocity for steering control

Thoresson

Botha

Schalk

2014

IJVD

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This paper proposes a novel concept for the modelling of a vehicle steering driver model for path following. The proposed steering driver reformulates and applies the Magic Formula, used for tyre modelling, to the vehicle's yaw acceleration vs. steering velocity response as a function of vehicle speed.The path-following driver model was developed for use in gradient-based mathematical optimisation of vehicle suspension characteristics for handling. Successful application of gradient-based optimisation depends on the availability of good gradient information. This requires a robust driver model that can ensure completion of the required handling manoeuvre, even when the vehicle handling is poor.The steering driver is applied to a non-linear full vehicle model of a Sports Utility Vehicle, performing a severe double lane change manoeuvre. Simulation results show excellent correlation with test results. The proposed driver model is robust and well suited to gradient-based optimisation of vehicle handling.

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“…The function φ(s) represents a friction/slip characteristic relation between the tyre and road surface. Here, we use the Pacejka model given in Bakker et al [1989], defined as follows The slip rate s is defined as…”

Section: Fig 2 Wheel Forces and Torquesmentioning

confidence: 99%

A Sliding Mode Regulator for Antilock Brake System

Sánchez‐Torres

Loukianov

Galicia

et al. 2011

IFAC Proceedings Volumes

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A Sliding Mode (SM) Regulator is proposed for an Antilock Brake System (ABS) control problem by employing Block Control SM and regulation concepts. This regulator has robustness against matched and unmatched perturbations, and the capability to estimate and incorporate the residual dynamics. Numeric simulations are carried on in order to verify the closed-loop system performance, where simulations predict the robustness of the ABS to matched and unmatched perturbations.

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A New Tire Model with an Application in Vehicle Dynamics Studies

Cited by 489 publications

References 1 publication

Untripped SUV rollover detection and prevention

Untripped SUV rollover detection and prevention

The relationship between vehicle yaw acceleration response and steering velocity for steering control

A Sliding Mode Regulator for Antilock Brake System

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