 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| I.L. Antonov, "The use of Markov chain theory in the problem of the dynamic stability of an elastic rod," J. Appl. Math. Mech. 77 (2), 225-229 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
2 |
Pages |
225-229 |
| Title |
The use of Markov chain theory in the problem of the dynamic stability of an elastic rod |
| Author(s) |
I.L. Antonov (Moscow, Russia, ilanto@yandex.ru) |
| Abstract |
The stability of the vertical position of an elastic rods, hinged at the ends and loaded at the upper end with a time-dependent longitudinal force containing a stochastic component, is considered. A homogeneous Markov chain is used to model the stochastic component. An inequality is obtained that depends on the characteristics of the stochastic force and the damping factor of the bar and, depending on whether this inequality is satisfied, the above equilibrium position will either be attracting or unstable. |
| Received |
18 May 2011 |
| Link to Fulltext |
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