Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2014-3pp.305-313

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V.V. Velichenko, "Geometric mechanics: Foundations of the theory and fundamental equations," J. Appl. Math. Mech. 78 (3), 305-313 (2014)
Year 2014 Volume 78 Issue 3 Pages 305-313
Title Geometric mechanics: Foundations of the theory and fundamental equations
Author(s) V.V. Velichenko (Moscow, Russia, vlad.velichenko@mail.ru)
Abstract Geometric mechanics, which develops traditional geometric methods of mechanics, enables one to construct theories of complex coupled systems on the basis of Newtonian axiomatics without recourse to the methods of Lagrangian analytical mechanics, Euler's methods for the dynamics of a rigid body and other theories and principles. Geometric methods simplify the general theory of complex mechanical systems and bring it closer to computerized computational technologies and to engineering practice.
Received 27 March 2013
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