Journal ArticleDOI
The magic formula tyre model
Hans B. Pacejka,Egbert Bakker +1 more
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.read more
Citations
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Book ChapterDOI
Elliptical Combined-Slip Tire Model in Vehicle Dynamics
TL;DR: In this article, a simplified mathematical tire model is introduced for combined longitudinal and lateral slip conditions in tire forces, which includes saturation of tire forces in both, longitudinal, and lateral directions, considering the drop in longitudinal forces in the presence of lateral and longitudinal slips.
Journal ArticleDOI
A Review of Active Aerodynamic Systems for Road Vehicles
TL;DR: A review of existing technical solutions and the results of published research on the effects of active flow control around a vehicle on its dynamic properties is presented in this article, where the driver is an element of the control system, automatic systems, their models, models of movable aerodynamic elements, and coupled dynamic-aerodynamic models are considered.
Proceedings ArticleDOI
Posture stabilization of two-wheel drive electric motorcycle by slip ratio control considering camber angle
TL;DR: By the proposed approach, the improvement of posture stabilization and operability of steering are achieved and a new slip ratio estimation with camber angle (SREC) and slip ratio control (SRCC) is proposed.
References
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Proceedings ArticleDOI
A New Tire Model with an Application in Vehicle Dynamics Studies
Journal ArticleDOI
Shear Force Development by Pneumatic Tyres in Steady State Conditions: A Review of Modelling Aspects
Hans B. Pacejka,Robin S. Sharp +1 more
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,E. Bakker +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
J.J.M. van Oosten,E. Bakker +1 more
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.