Ebook: Analytical Mechanics
Author: A. I. Lurie (auth.)
- Tags: Theoretical and Applied Mechanics, Computational Intelligence, Mechanics
- Series: Foundations of Engineering Mechanics
- Year: 2002
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This is a translation of A.I. Lurie classical Russian textbook on analytical mechanics. Part of it is based on courses formerly held by the author. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the XX century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems. This book will help researchers and graduate students to acquire a deeper insight into analytical mechanics.
Content:
Front Matter....Pages I-18
Basic definitions....Pages 19-46
Rigid body kinematics — basic knowledge....Pages 47-109
Theory of finite rotations of rigid bodies....Pages 111-149
Basic dynamic quantities....Pages 151-202
Work and potential energy....Pages 203-265
The fundamental equation of dynamics. Analytical statics....Pages 267-301
Lagrange’s differential equations....Pages 303-390
Other forms of differential equations of motion....Pages 391-448
Dynamics of relative motion....Pages 449-522
Canonical equations and Jacobi’s theorem....Pages 523-584
Perturbation theory....Pages 585-668
Variational principles in mechanics....Pages 669-780
Back Matter....Pages 781-864
Content:
Front Matter....Pages I-18
Basic definitions....Pages 19-46
Rigid body kinematics — basic knowledge....Pages 47-109
Theory of finite rotations of rigid bodies....Pages 111-149
Basic dynamic quantities....Pages 151-202
Work and potential energy....Pages 203-265
The fundamental equation of dynamics. Analytical statics....Pages 267-301
Lagrange’s differential equations....Pages 303-390
Other forms of differential equations of motion....Pages 391-448
Dynamics of relative motion....Pages 449-522
Canonical equations and Jacobi’s theorem....Pages 523-584
Perturbation theory....Pages 585-668
Variational principles in mechanics....Pages 669-780
Back Matter....Pages 781-864
....