Analytical Dynamics
A New Approach
Seiten
2007
Cambridge University Press (Verlag)
978-0-521-04833-0 (ISBN)
Cambridge University Press (Verlag)
978-0-521-04833-0 (ISBN)
Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction, with an emphasis on fundamental concepts in mechanics.
Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. The problem of constrained motion was first posed over two hundred years ago, and it has been worked on vigorously ever since. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction to analytical dynamics, with emphasis on fundamental concepts in mechanics. The connection between generalized inverses of matrices and constrained motion is a central theme. The book begins with a description of the motion of a particle subjected to holonomic and nonholonomic constraints and presents explicit equations of motion. Examples are provided throughout the book, and carefully formulated problems at the end of each chapter reinforce the material covered. This computationally appealing approach will be useful to students in engineering and the applied sciences.
Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. The problem of constrained motion was first posed over two hundred years ago, and it has been worked on vigorously ever since. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction to analytical dynamics, with emphasis on fundamental concepts in mechanics. The connection between generalized inverses of matrices and constrained motion is a central theme. The book begins with a description of the motion of a particle subjected to holonomic and nonholonomic constraints and presents explicit equations of motion. Examples are provided throughout the book, and carefully formulated problems at the end of each chapter reinforce the material covered. This computationally appealing approach will be useful to students in engineering and the applied sciences.
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.
| Erscheint lt. Verlag | 17.12.2007 |
|---|---|
| Zusatzinfo | 41 Line drawings, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 153 x 228 mm |
| Gewicht | 415 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
| Technik ► Maschinenbau | |
| ISBN-10 | 0-521-04833-8 / 0521048338 |
| ISBN-13 | 978-0-521-04833-0 / 9780521048330 |
| Zustand | Neuware |
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