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Journal ArticleDOI

Magic Formula Tyre Model with Transient Properties

Hans B. Pacejka, +1 more
- 01 Jan 1997 - 
- Vol. 27, pp 234-249
TLDR
In this article, the steady-state empirical "Magic Formula" tire model was used to model the acceleration and braking properties of the Delft Tyre 97, and a full set of equations of the steady state part of the model of the new version was presented.
Abstract
The tyre force and moment generating properties connected with the vehicle's horizontal motions are considered. Knowledge of tyre properties is necessary to properly design vehicle components and advanced control systems. For this purpose, mathematical models of the tyre are being used in vehicle simulation models. The steady-state empirical ‘Magic Formula tyre model’ is discussed. The aligning torque description is based on the concepts of pneumatic trail and residual torque. This facilitates its combined slip description. Following Michelin, weighting functions have been introduced to model the combined slip force generation. A full set of equations of the steady-state part of the model of the new version ‘Delft Tyre 97’ is presented. The non-steady state behaviour of the tyre is of importance in rapid transient maneuvres, when cornering on uneven roads and for the analysis of oscillatory braking and steering properties. A relatively simple model for longitudinal and lateral transient responses...

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Citations
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Journal ArticleDOI

A Mathematical Model for Driver Steering Control, with Design, Tuning and Performance Results

TL;DR: In this article, a mathematical model for the steering control of an automobile is described, which is based on linear optimal discrete time preview control theory, but it is non-linear.
Journal ArticleDOI

Integrated longitudinal and lateral tire/road friction modeling and monitoring for vehicle motion control

TL;DR: A review of recent developments and trends in tire/road friction modeling is presented, with attempts to provide a broad perspective of the initiatives and multidisciplinary techniques for related research.
Journal ArticleDOI

Coordination of active steering, driveline, and braking for integrated vehicle dynamics control

TL;DR: An integrated vehicle dynamics control system which aims to improve vehicle handling and stability by coordinating active front steering (AFS) and dynamic stability control (DSC) subsystems is developed in this paper.
Journal ArticleDOI

Simultaneous Observation of Hybrid States for Cyber-Physical Systems: A Case Study of Electric Vehicle Powertrain

TL;DR: A novel estimation algorithm for simultaneously identifying the backlash position and half-shaft torque of an electric powertrain is proposed using a hybrid system approach and the validation results demonstrates the feasibility and effectiveness of the proposed hybrid-state observer.
Journal ArticleDOI

A technical survey on tire-road friction estimation

TL;DR: This literature survey introduces different approaches, which have been widely used to estimate the friction or other related parameters, and covers the recent literature that contains these methodologies.
References
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Journal ArticleDOI

The magic formula tyre model

TL;DR: 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.
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.
Journal ArticleDOI

The In-Plane Dynamics of Tyres on Uneven Roads

TL;DR: In this article, two situations of the tyre rolling over unevennesses are analysed using experiments and simulations: quasi-static rolling at very low velocity and dynamic rolling at high velocity. But the results of these experiments were not used to simulate the dynamic behaviour of the tire rolling over the unevennesses, also at higher velocity.

The tyre as a vehicle component

TL;DR: In this article, a simple brush tire model is treated first to gain insight and then, the steady-state empirical "Magic Formula tyre model" is discussed, and a description of the steady state part of new version 'Delft Tyre 96' is added.