Tire and Vehicle Dynamics

Exercises

Preface

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 on Undulated Road

8.6 Starting from Standstill

Chapter 9. Short Wavelength Intermediate Frequency Tire Model

9.1 Introduction

9.2 The Contact Patch Slip Model

9.3 Tire Dynamics

9.4 Dynamic Tire Model Performance

Chapter 10. Dynamic Tire Response to Short Road Unevennesses

10.1 Model Development

10.2 Swift on Road Unevennesses (Simulation and Experiment)

Chapter 11. Motorcycle Dynamics

11.1 Introduction

11.2 Model Description

11.3 Linear Equations of Motion

11.4 Stability Analysis and Step Responses

11.5 Analysis of Steady-State Cornering

11.6 The Magic Formula Tire Model

Chapter 12. Tire Steady-State and Dynamic Test Facilities

Chapter 13. Outlines of Three Advanced Dynamic Tire Models

Introduction

13.1 The RMOD-K Tire Model (Christian Oertel)

13.2 The FTire Tire Model (Michael Gipser)

13.3 The MF-Swift Tire Model (Igo Besselink)

References

List of Symbols

Subscripts and superscripts

APPENDIX 1. Sign Conventions for Force and Moment and Wheel Slip

APPENDIX 2. Online Information

APPENDIX 3. MF-Tire/MF-Swift Parameters and Estimation Methods

Index