Fundamentals of Vehicle Dynamics and Modelling: A Textbook for Engineers With Illustrations and Examples (Automotive Series)

An introduction to vehicle dynamics and the fundamentals of mathematical modeling Fundamentals of Vehicle Dynamics and Modeling is a student-focused textbook providing an introduction to vehicle dynamics, and covers the fundamentals of vehicle model development. It illustrates the process for construction of a mathematical model through the application of the equations of motion. The text describes techniques for solution of the model, and demonstrates how to conduct an analysis and interpret the results. A significant portion of the book is devoted to the classical linear dynamic models, and provides a foundation for understanding and predicting vehicle behaviour as a consequence of the design parameters. Modeling the pneumatic tire is also covered, along with methods for solving the suspension kinematics problem, and prediction of acceleration and braking performance. The book introduces the concept of multibody dynamics as applied to vehicles and provides insight into how large and high fidelity models can be constructed. It includes the development of a method suitable for computer implementation, which can automatically generate and solve the linear equations of motion for large complex models. Key features: ● Accompanied by a website hosting MATLAB® code. ● Supported by the Global Education Delivery channels. Fundamentals of Vehicle Dynamics and Modeling is an ideal textbook for senior undergraduate and graduate courses on vehicle dynamics. Cover Title Page Copyright Contents List of Figures List of Tables Preface List of Symbols About the Companion Website Chapter 1 Introduction 1.1 Past, Present, and Future References Chapter 2 Tire Modelling 2.1 Rolling Losses 2.2 Longitudinal Force 2.3 Lateral Force 2.4 Vertical Moments 2.5 Normal Force References Chapter 3 Longitudinal Dynamics 3.1 Acceleration Performance 3.1.1 Engine Limited Performance 3.1.2 Tire Limited Acceleration 3.1.3 Grade Performance 3.2 Braking Performance Problems Chapter 4 Linear Dynamic Models 4.1 The Yaw Plane Model 4.1.1 Steady State Analysis 4.1.2 Transient Analysis 4.1.3 Frequency Response 4.1.4 Time History Solution 4.2 The Truck and Trailer Model 4.2.1 Steady State Analysis 4.2.2 Transient Analysis 4.3 The Quarter Car Model 4.3.1 Transient Analysis 4.3.2 Frequency Response 4.4 The Bounce‐Pitch Model 4.4.1 Transient Analysis 4.4.2 Frequency Response Problems References Chapter 5 Full Car Model 5.1 Steady State Analysis 5.1.1 The Bounce‐Pitch‐Roll Model 5.1.2 The Lateral‐Yaw Model 5.2 Transient Analysis 5.3 Kinematic Effects 5.3.1 Roll Centres 5.3.2 Quasi Static Model, with Roll Centres 5.4 Numerical Solution of Suspension Kinematics 5.4.1 Algebraic Equations Formulation 5.4.2 Differential Equations Formulation 5.4.3 Tire Orientation Effects 5.5 Suspension Damping Problems References Chapter 6 Multibody Dynamics 6.1 Generating the Governing Equations 6.1.1 Preliminary Definitions 6.2 Definition of Coordinates 6.3 Kinematic Differential Equations 6.4 Newton–Euler Equations 6.4.1 Inertial Forces 6.4.2 Elastic Forces 6.4.3 Linear Spring 6.5 Constraint Equations 6.5.1 Spherical Joint 6.6 State Space Form 6.7 Example Systems 6.7.1 Rigid Rider Bicycle 6.7.2 Multibody Quarter Car References Chapter 7 Mathematics 7.1 Algebraic Equations 7.1.1 Nonlinear Algebraic Equations 7.1.2 Linear Algebraic Equations 7.2 Differential Equations 7.2.1 Nonlinear Differential Equations 7.2.2 Linear First Order ODEs 7.2.3 Eigen Analysis 7.2.4 Linear Second Order ODEs 7.2.5 Frequency Response Analysis 7.3 Differential Algebraic Equations 7.3.1 Differential Equation Approach 7.3.2 Algebraic Equation Approach 7.3.3 Linear Differential Algebraic Equations Appendix A Numerical Methods A.1 Algebraic Equations A.2 Differential Equations Index EULA A student-focused textbook providing an introduction to vehicle dynamics, and cover the fundamentals of vehiclemodel development. It illustrates the process for construction of a mathmatical model throught the application of the equations of motion. The text describes techniques for solution of the model, and demonstrates how to conduct an analysis and interpret the results. A significant portion of the book is devoted to the classical linear dynamic models, and provides a foundation for understanding and predicting vehicle behaviour as a consequence of the design parameters