OVERVIEW OF THE BOOK

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Preface OVERVIEW OF THE BOOK

The book is structured in sixteen chapters which can be broadly classified in two parts. The first part of the book deals with kinematic aspects at the level of particles (Chapter 2), rigid body (Chapters 3, 5, 6) and systems of rigid bodies (Chapters 7 and 8). This first part starts with a preliminary chapter (Chapter 1) devoted to the definition of position of a rigid body, mostly through the parametrization of its orientation. Chapter 4 is pivotal to this book: the concept of screws is relevant not only to kinematics but also to all aspects of kinetics. Before the start of the second part of the book, two preliminary chapters will be found to cover the topics of mass distribution (Chapter 9) and of mechanical actions (Chapter 10). The remainder of the book is devoted to kinetics, that is, to the exposition of methods devised to formulate the equations of motions and to determine unknown mechanical actions, as applied to a single rigid body or systems of rigid bodies.

More specifically,

Chapter 11 presents the vectorial formalism of Newton-Euler with its central result known as the Fundamental Theorem of Dynamics.

Chapter 12 presents notions of power, kinetic energy, and potential energy leading to the derivation of the Kinetic Energy Theorem.

Chapter 13 is an introduction to analytical dynamics, starting with Lagrange and Painlevé equations.

Chapter 14 is a continuation of analytical dynamics with an introduction to Gibbs-Appell and Kane equations.

The book ends with two chapters specific to gyroscopic phenomena (Chapter 15) and to the generalization of theorems relative to non-Newtonian referentials (Chapter 16).