Tire and Vehicle Dynamics

3rd Edition

Print ISBN: 9781483299709
eBook ISBN: 9780080970172
Imprint: Butterworth-Heinemann
Published Date: 9th April 2012
Page Count: 672
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The definitive book on tire mechanics by the acknowledged world expert

  • Covers everything you need to know about pneumatic tires and their impact on vehicle performance, including mathematic modeling and its practical application
  • Written by the acknowledged world authority on the topic and the name behind the most widely used model, Pacejka’s ‘Magic Formula’
  • Updated with the latest information on new and evolving tire models to ensure you can select the right model for your needs, apply it appropriately and understand its limitations

In this well-known resource, leading tire model expert Hans Pacejka explains the relationship between operational variables, vehicle variables and tire modeling, taking you on a journey through the effective modeling of complex tire and vehicle dynamics problems.

Covering the latest developments to Pacejka's own industry-leading model as well as the widely-used models of other pioneers in the field, the book combines theory, guidance, discussion and insight in one comprehensive reference.

While the details of individual tire models are available in technical papers published by SAE, FISITA and other automotive organizations, Tire and Vehicle Dynamics remains the only reliable collection of information on the topic and the standard go-to resource for any engineer or researcher working in the area.

Key Features

  • New edition of the definitive book on tire mechanics, by the acknowledged world authority on the topic
  • Covers everything an automotive engineer needs to know about pneumatic tires and their impact on vehicle performance, including mathematic modelling and its practical application
  • Most vehicle manufacturers use what is commonly known as Pacejka’s ‘Magic Formula’, the tire model developed and presented in this book


Automotive engineers and analysts using tire models to simulate vehicle dynamics; Tire engineers, chassis engineers, vehicle dynamics engineers; Graduate students and researchers working on tire and vehicle dynamics; Aeronautical engineers working on landing gear.

Table of Contents



Chapter 1. Tire Characteristics and Vehicle Handling and Stability

1.1 Introduction

1.2 Tire and Axle Characteristics

1.3 Vehicle Handling and Stability

Chapter 2. Basic Tire Modeling Considerations

2.1 Introduction

2.2 Definition of Tire Input Quantities

2.3 Assessment of Tire Input Motion Components

2.4 Fundamental Differential Equations for a Rolling and Slipping Body

2.5 Tire Models (Introductory Discussion)

Chapter 3. Theory of Steady-State Slip Force and Moment Generation

3.1 Introduction

3.2 Tire Brush Model

3.3 The Tread Simulation Model

3.4 Application: Vehicle Stability at Braking up to Wheel Lock

Chapter 4. Semi-Empirical Tire Models

4.1 Introduction

4.2 The Similarity Method

4.3 The Magic Formula Tire Model

Chapter 5. Non-Steady-State Out-of-Plane String-Based Tire Models

5.1 Introduction

5.2 Review of Earlier Research

5.3 The Stretched String Model

5.4 Approximations and Other Models

5.5 Tire Inertia Effects

5.6 Side Force Response to Time-Varying Load

Chapter 6. Theory of the Wheel Shimmy Phenomenon

6.1 Introduction

6.2 The Simple Trailing Wheel System with Yaw Degree of Freedom

6.3 Systems with Yaw and Lateral Degrees of Freedom

6.4 Shimmy and Energy Flow

6.5 Nonlinear Shimmy Oscillations

Chapter 7. Single-Contact-Point Transient Tire Models

7.1 Introduction

7.2 Model Development

7.3 Enhanced Nonlinear Transient Tire Model

Chapter 8. Applications of Transient Tire Models

8.1 Vehicle Response to Steer Angle Variations

8.2 Cornering on Undulated Roads

8.3 Longitudinal Force Response to Tire Nonuniformity, Axle Motions, and Road Unevenness

8.4 Forced Steering Vibrations

8.5 ABS Braking


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''An indispensable companion to every engineer working in vehicles system dynamics''--Prof. P. Lugner, Editor-of-Chief for the International Journal of Vehicle System Dynamics

"Pacejka (Delft U. of Technology, the Netherlands) updates the 2006 edition of his 2002 textbook and reference on modeling the dynamic behavior of inflated tires as components of vehicles. Readers are assumed to be students or practicing mechanical engineers, and the exercises require standard tools of the trade. His topics include basic tire modeling considerations, the theory of steady-state slip force and moment generation, single-contact-point transient tire models, the dynamic tire response to short road unevennesses, and motorcycle dynamics."--Reference and Research Book News, August 2012, page 264