 | | 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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| A.T. Il’ichev, "Neutral stability of compression solitons in the bending of a non-linear elastic rod," J. Appl. Math. Mech. 72 (3), 323-330 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
3 |
Pages |
323-330 |
| Title |
Neutral stability of compression solitons in the bending of a non-linear elastic rod |
| Author(s) |
A.T. Il’ichev (Moscow, Russia, ilichev@mi.ras.ru) |
| Abstract |
The spectral stability of compression solitons in non-linear elastic rods with respect to perturbations of the flexural mode of the oscillations of the rod is investigated. The system of equations of the isotropic theory of elasticity, taking account of the non-linear corrections corresponding to the interaction being studied, is used to describe the interaction of longitudinal and flexural waves in the rod. This system of equations describes long longitudinal-flexural waves of small but finite amplitude. It is shown that trapped flexural modes exist, which propagate together with a compression soliton. It is established that these modes, which are the least stable, do not increase with time. |
| Received |
09 November 2006 |
| Link to Fulltext |
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