 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.I. Yerofeyev and Ye.Ye. Lisenkova, "General relations for waves in one-dimensional elastic systems," J. Appl. Math. Mech. 77 (2), 230-234 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
2 |
Pages |
230-234 |
| Title |
General relations for waves in one-dimensional elastic systems |
| Author(s) |
V.I. Yerofeyev (Nizhnii Novgorod, Russia, erf04@sinn.ru)
Ye.Ye. Lisenkova (Nizhnii Novgorod, Russia) |
| Abstract |
Common features inherent in waves propagating in one-dimensional elastic systems are pointed out. Local laws of energy and wave momentum transfer when the Lagrangian of an elastic system depends on the generalized coordinates and their derivatives up to the second order inclusive are presented. It is shown that in a reference system moving with the phase velocity, the ratio of the energy flux density to the wave momentum flux density is equal to the phase velocity. It is established that for systems, the behaviour of which is described by linear equations or by nonlinear equations in the unknown function, the ratio of the mean values of the energy flux density to the wave momentum density is equal to the product of the phase and group velocities of the waves. |
| Received |
11 April 2011 |
| Link to Fulltext |
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