Analytical Dynamics
Analytical Dynamics
Robert E. Kalaba, University of Southern California
This book offers a fresh, readable approach to the analysis of mechanical systems. It is written as an introduction to analytical dynamics, with an emphasis on fundamental concepts in mechanics. The book begins with a description of the motion of a particle subjected to constraints, and presents explicit equations of motion that govern large classes of constrained mechanical systems with refreshingly simple results. The authors provide examples throughout the book, as well as carefully formulated end-of-chapter problems that reinforce the material covered.
- A new accessible approach to classical mechanics
- Clearly written, easy to follow
- Important applications in manufacturing and design
Reviews & endorsements
"Based on a fresh concept of the Moore-Penrose generalized inverse of a matrix, this textbook gives a non-traditional description of only one, but a very important, topic of analytical dynamics, namely, the derivation of the equations of motion of a constrained discrete mechanical system from the differential Gauss principle. The clear exposition with many interesting detailed examples and suggestions for further reading makes this book useful for 'the average college senior in science and engineering' as well as for any specialist in mechanics." A. Sumbatov, Mathematical Reviews, 98j
Product details
December 2007Paperback
9780521048330
276 pages
228 × 153 × 16 mm
0.415kg
41 b/w illus.
Available
Table of Contents
- Preface
- 1. Introduction
- 2. Matrix algebra
- 3. The fundamental equation
- 4. Further applications
- 5. Elements of Lagrangian mechanics
- 6. The fundamental equation in generalized coordinates
- 7. Gauss's principle revisited
- 8. Connections among different approaches
- References
- Afterword
- Index.
