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Analytical Dynamics Theory and Applications

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ISBN-10: 0306486814

ISBN-13: 9780306486814

Edition: 2005

Authors: Mark D. Ardema

List price: $249.99
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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…    
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Book details

List price: $249.99
Copyright year: 2005
Publisher: Springer
Publication date: 11/16/2004
Binding: Hardcover
Pages: 340
Size: 6.75" wide x 10.00" long x 1.00" tall
Weight: 1.738
Language: English

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