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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Tyre models for steady-state vehicle handling analysis
TL;DR: In this article, a comparison of the performance of different models of the Magic Formula and TreadSim is presented, based on which it is concluded that the Treadsim model gives the best approximation of the steady-state force and moment characteristics.
Journal ArticleDOI
A real-time physical model for strain-based intelligent tires
TL;DR: A real-time physical model suitable to describe the longitudinal dynamics of strain-based intelligent tires is described and it is highlighted that the proposed tire model can estimate with an acceptable precision the tire deformations for several operative working conditions.
Journal ArticleDOI
Range Extension Autonomous Driving for Electric Vehicles Based on Optimal Velocity Trajectory Generation and Front-Rear Driving-Braking Force Distribution
Yuta Ikezawa,Hiroshi Fujimoto,Yoichi Hori,Daisuke Kawano,Yuichi Goto,Misaki Tsuchimoto,Koji Sato +6 more
TL;DR: By considering the load transfer, slip ratio, motor losses, a READ system is proposed that optimizes the velocity trajectory and the front and rear driving-braking force distribution ratio; these techniques help reduce the consumption energy of the autonomous vehicle.
Journal ArticleDOI
A Trajectory Tracking Control Strategy of 4WIS/4WID Electric Vehicle with Adaptation of Driving Conditions
Hongyu Zheng,Shuo Yang +1 more
TL;DR: Simulation results show that this trajectory tracking strategy realizes the adaptive control of tire force while tracking the desired trajectory, improves the stability and energy saving of the vehicle, and effectively reduces tire wear.
Proceedings ArticleDOI
A new approach to traction control of EV based on maximum effective torque estimation
Dejun Yin,Yutaka Hori +1 more
TL;DR: In this article, a new control algorithm that prevents wheel skidding of electric vehicles in the presence of uncertainties in tire-road conditions is presented, which is based on a purely kinematic relationship between the wheel and the chassis.
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.