Analytical Dynamics: Theory And Applications - Rilegato

Ardema, Mark D.

 
9780306486814: Analytical Dynamics: Theory And Applications

Sinossi

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.

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Recensione

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)

Contenuti

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.

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