ENGLISH

Analytical Dynamics: Theory and Applications

By Mark D. Ardema

Book information

Publisher
Springer
Year
2004
ISBN
9780306486814, 0306486814, 0306486822
Open Library ID
OL9491552M
Language
english
Format
PDF
Filesize
9 MB (9899459 bytes)
Edition
1
Pages
343\343
Topic
Physics
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.

Similar books