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Journal ArticleDOI

The magic formula tyre model

TLDR
The Magic Formula model as mentioned in this paper provides a set of mathematical formulae from which the forces and moment acting from road to tyre can be calculated at longitudinal, lateral and camber slip conditions, which may occur simultaneously.
Abstract
An account is given of the latest version 3 of the Magic Formula tyre model. The model provides a set of mathematical formulae from which the forces and moment acting from road to tyre can be calculated at longitudinal, lateral and camber slip conditions, which may occur simultaneously. The model aims at an accurate description of measured steady-state tyre behaviour. The coefficients of the basic formula represent typifying quantities of the tyre characteristic. By selecting proper values, the characteristics for either side force, aligning torque or fore and aft force can be obtained. The new version of the model contains physically based formulations to avoid the introduction of correction factors. Double-sided, possibly non-symmetric pure slip curves are employed as the basis for combined slip calculations. Suggestions are given to estimate the driving part of the longitudinal slip curve and to represent the characteristic at rolling backwards.

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Citations
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Efficient coordinated control of regenerative braking with pneumatic anti-lock braking for hybrid electric vehicle

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All-Wheel Braking Force Allocation During a Braking-in-Turn Maneuver for Vehicles With the Brake-by-Wire System Considering Braking Efficiency and Stability

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References
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Journal ArticleDOI

Shear Force Development by Pneumatic Tyres in Steady State Conditions: A Review of Modelling Aspects

TL;DR: In this article, a review of the generation of shear forces by pneumatic tyres under steady state conditions is presented, in a practical context, through reference to the uses to which models may be put by the vehicle dynamicist and the tyre designer.

Determination of magic tyre model parameters

Jjm Van Oosten, +1 more
TL;DR: In this paper, a set of MAGIC TYRE FORMULA PARAMETERS out of the DELFT TYRE MEASUREMENT TRAILER is compared to the "MONTE CARLO" version of the model.

Determination of Magic Formula tyre model parameters

TL;DR: In this article, the Magic Formula Tyre Model is compared with the Monte Carlo version of the model and the comparison between the two versions shows that the latest version results in better fitting results especially for camber influences and (even more important) in an improvement on the fitting process.