Analytical dynamics : theory and applications / Mark D. Ardema
Material type: TextPublication details: New York Kluwer Academic Publishers 2005Description: 340 pISBN:- 9781493991068
- 620 ARD-M
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|---|
Books | BITS Pilani Hyderabad | 620 | General Stack (For lending) | 620 ARD-M (Browse shelf(Opens below)) | Available | 40260 |
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.
There are no comments on this title.