 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.V. Kozlov, "On the variational principles of mechanics," J. Appl. Math. Mech. 74 (5), 505-512 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
5 |
Pages |
505-512 |
| Title |
On the variational principles of mechanics |
| Author(s) |
V.V. Kozlov (Moscow, Russia, kozlov@pran.ru) |
| Abstract |
Variational principles, generalizing the classical d’Alembert-Lagrange, Hölder, and Hamilton-Ostrogradskii principles, are established. After the addition of anisotropic dissipative forces and taking the limit, when the coefficient of viscous friction tends to infinity, these variational principles transform into the classical principles, which describe the motion of systems with constraints. New variational relations are established for searching for the periodic trajectories of the reversible equations of dynamics. |
| Received |
30 November 2009 |
| Link to Fulltext |
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