ENGLISH

Analytical Dynamics: Theory and Applications

By Mark D. Ardema

Book information

Publisher
Springer
Year
2004
ISBN
0306486814
Language
english
Format
PDF
Filesize
10 MB (10069668 bytes)
Edition
1
Pages
344\344
Topic
Physics
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

This book takes a traditional approach to the development of the methods of analytical dynamics. After a review of Newtonian dynamics, the basic concepts of analytical dynamics - classification of constraints, classification of forces, virtual displacements, virtual work and variational principles - are introduced and developed. Next, Langrange's equations are derived and their integration is discussed. The Hamiltonian portion of the book covers Hamilton's canonical equations, contact transformations, and Hamilton-Jacobi theory. Also included are chapters on stability of motion, impulsive forces, and the Gibbs-Appell equation. Two types of examples are used throughout the book. The first type is intended to illustrate key results of the theoretical development, and these are deliberately kept as simple as possible. The other type is included to show the application of the theoretical results to complex, real-life problems. These examples are often quite lengthy, comprising an entire chapter in some cases.

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