Analytical Dynamics: A New Approach

ISBN-13: 9780521482172 / Angielski / Twarda / 1996 / 276 str.

Firdaus E. Udwadia; Robert E. Kalaba

Opis

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.

Recenzje

"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

Spis treści

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.