Movement Equations 1 Location, Kinematics and Kinetics [Hardcover]

The set of books on Mechanical Engineering and Solid Mechanics, of which this book is the first volume, is an essential tool for those looking to develop a rigorous knowledge of the discipline, whether students, professionals (in search of an approach to a problem they are dealing with), or anyone else interested.

This volume deals with the elements required for establishing the equations of motion when dealing with solid bodies. Chapter 1 focuses on the systems of reference used to locate solid bodies relative to the observer, and demonstrates how to describe their position, orientation, and evolution during their motion. Chapter 2 introduces descriptors of motion such as velocity and acceleration, and develops the concept of torsor notation in relation to these descriptors. Finally, Chapter 3 concerns the notions of mass and inertia, as well as the kinetic torsor and dynamic torsor which consolidate the kinematic and kinetic aspects in a single concept.

Introduction  ix

Table of Notations xv

Chapter 1. Location of Solid Bodies 1

1.1. The notion of system of reference 1

1.2. Frame of reference  2

1.2.1. Setting up a frame of reference  2

1.2.2. Various types of frames of reference 9

1.3. Location of a solid body 14

1.3.1. The principle of locating a solid  15

1.3.2. Location parameters of a solid 15

1.3.3. Coordinates of the position vector  16

1.3.4. Exercises 20

1.4. Positioning of a system of reference connected to a solid 22

1.4.1. Several examples of location systems of reference  22

1.4.2. General location parameters 26

1.4.3. Euler angles 28

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