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Author Papastavridis, J. G. (John G.), author.

Title Analytical mechanics : a comprehensive treatise on the dynamics of constrained systems / by John G Papastavridis.

Publication Info. Singapore ; New Jersey : World Scientific, [2014]

Item Status

Edition Reprint edition.
Description 1 online resource (xxii, 1392 pages) : illustrations
Physical Medium polychrome
Description text file
Note Reprint of 2002 edition.
Bibliography Includes bibliographical references and index.
Summary This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servo constraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Lure, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.
Contents 1. Background: Basic concepts and equations of particle and rigid-body mechanics -- 2. Kinematics of constrained systems -- 3. Kinetics of constrained systems -- 4. Impulsive motion -- 5. Nonlinear nonholonomic constraints -- 6. Differential variational principles, and associated generalized equations of motion of Nielsen, Tsenov ... [et al.] -- 7. Time-integral theorems and variational principles -- 8. Introduction to Hamiltonian/canonical methods: Equations of Hamilton and Routh; canonical formalism.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Mechanics, Analytic.
Mechanics, Analytic.
Genre/Form Electronic books.
Other Form: Print version: Papastavridis, J. G. (John G.), author. Analytical mechanics. Reprint edition 9789814338714 (DLC) 2013017316 (OCoLC)849740724
ISBN 9789814338721 (electronic book)
9814338729 (electronic book)
9789814338714
9814338710
0195126971
9780195126976