Movement Equations 2
Mathematical and Methodological Supplements
Publication Date: January 2017 Hardback 200 pp.
The set of books on Non-deformable Solid Mechanics, of which this book is the second 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 brings together key mathematical tools useful for the development of equations of motion of non-deformable solids to facilitate execution. Chapter 1 revisits vectors, the basic language of formalism, before Chapter 2 introduces the torsors that are predominant in developing equations of motion. The variation of vector quantities with a number of parameters, particularly time, is covered in Chapter 3. Chapters 4, 5 and 6 study the vector functions of variables representing the skew curves, surfaces and volumes. Vector operations and their use in matrices are the subject of Chapter 7, and finally Chapter 8 establishes a number of simple rules to help minimize the risk of errors when developing equations of motion.
1. Vector Calculus.
2. Torsors and Torsor Calculus.
3. Derivation of Vector Functions.
4. Vector Functions of One Variable Skew Curves.
5. Vector Functions of Two Variables Surfaces.
6. Vector Function of Three Variables Volumes.
7. Linear Operators.
8. Homogeneity and Dimension.
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.