 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A. S. Desyatova, M. V. Zhigalov, V. A. Krys’ko, and O. A. Saltykova, "Dissipative dynamics of geometrically nonlinear Bernoulli-Euler beams," Mech. Solids. 43 (6), 948-956 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
6 |
Pages |
948-956 |
| DOI |
10.3103/S0025654408060125 |
| Title |
Dissipative dynamics of geometrically nonlinear Bernoulli-Euler beams |
| Author(s) |
A. S. Desyatova (Washington, USA, desyatova@mail.ru)
M. V. Zhigalov (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054, Russia, ZhigalovM@yandex.ru)
V. A. Krys’ko (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054, Russia, tak@san.ru)
O. A. Saltykova (Saratov State Technical University, Politekhnicheskaya 77, Saratov, 410054, Russia, olga_a_saltykova@mail.ru) |
| Abstract |
We consider nonlinear dissipative vibrations of the Bernoulli-Euler beam. We find that, under the action of a transverse alternating load, the vibrations may become chaotic. We study a scenario in which harmonic vibrations become chaotic, namely, the Feigenbaum scenario, and find the Feigenbaumconstant. In the present paper, we paymuch attention to the reliability of the results obtained. To this end, we use two methods, the finite difference O(h 2) method and the finite element method in the Bubnov-Galerkin form, and verify the convergence of these methods. |
| Received |
15 January 2007 |
| Link to Fulltext |
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