Analytical Dynamics: Theory and Applications / Edition 1

by Mark D. Ardema

Overview

This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.

Product Details

ISBN-13:	9780306486814
Publisher:	Springer US
Publication date:	11/16/2004
Edition description:	2005
Pages:	340
Product dimensions:	7.01(w) x 10.00(h) x 0.03(d)

Table of Contents

Review of Newtonian Dynamics.- Motion and Constraints.- Virtual Displacement and Virtual Work.- Variational Principles.- Generalized Coordinates.- Lagrange’s Equations.- Formulation of Equations.- Integration of Equations.- Examples.- Central Force Motion.- Gyroscopic Motion.- Stability Of Motion.- Impulsive Motion.- Gibbs-Appell Equations.- Hamilton’s Equations.- Contact Transformations.- Hamilton-Jacobi Equation.- Approximation Methods.

Editorial Reviews

From the reviews of the first edition:

"The book takes a classical approach to the development of the methods of analytical dynamics. … the book contains a large number of examples … and most of them are quite instructive. Many examples are worked out in full detail in the text, and an even greater number of additional examples is given in the form of problems (without solutions). … People who teach mechanics courses may find this collection of examples quite useful." (Volker Perlick, Zentralblatt MATH, Vol. 1087 (13), 2006)

From the Publisher