Movement Equations 4

Equilibriums and Small Movements

Volume 4 – Non-deformable Solid Mechanics SET Coordinated by Abdelkhalak El Hami

Movement Equations 4

Michel Borel, Consultant
Georges Vénizélos, Conservatoire National des Arts et Métiers (CNAM), France

ISBN : 9781786300355

Publication Date : February 2018

Hardcover 244 pp

145.00 USD



The set of books on Non-deformable Solid Mechanics, of which this book is the fourth 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 builds on the topics of the previous books in that it applies the principles established in the third volume which led to the movement equations.

Through an examination of the scalar consequences of the fundamental principle of dynamics, this book identifies the conceivable situations of equilibrium, the conditions for obtaining them and the values of the situation parameters which correspond with them. A special emphasis is placed on the behavior of oscillatory components and their influence on stabilized and stabilizer systems.

This book includes a chapter devoted to the formal mathematics of such systems and another to the stabilizer effects of a common device of coupled components: the gyroscope. It goes through the common applications of this device, including the case of the gyroscopic pendulum, chiefly used for controlling satellites, and the gyro-compass as a navigational instrument which helps maintain true north.


1. Equilibrium, Stationary Movement and Oscillation of a Free Solid.
2. Solving Equations of Small Movements.
3. Oscillator Studies.
4. Gyroscopic Motion.

About the authors

Michel Borel was previously a lecturer in mechanics at the CNAM Center in Versailles, Associate Professor at École nationale supérieure du pétrole et des moteurs (ENSPM), and an engineer for the company Bertin and at the General Armament Direction (DGA).

Georges Vénizélos is Professor and Chair of mechanical systems design at Conservatoire National des Arts et Métiers (CNAM) in France. His research field concerns vibration control.