 | | 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 (ÏÌÌ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.E. Baikov and P.S. Krasil’nikov, "The Ziegler effect in a non-conservative mechanical system," J. Appl. Math. Mech. 74 (1), 51-60 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
1 |
Pages |
51-60 |
| Title |
The Ziegler effect in a non-conservative mechanical system |
| Author(s) |
A.E. Baikov (Moscow, Russia, alexbaykov@mail.ru)
P.S. Krasil’nikov (Moscow, Russia) |
| Abstract |
The destabilization of the stable equilibrium of a non-conservative system under the action of an infinitesimal linear viscous friction force is considered. In the case of low friction, the necessary and sufficient conditions for stability of a system with several degrees of freedom and, as a consequence, the conditions for the existence of the destabilization effect (Ziegler's effect) are obtained. Criteria for the stability of the equilibrium of a system with two degrees of freedom, in which the friction forces take arbitrary values, are constructed. The results of the investigation are applied to the problem of the stability of a two-link mechanism on a plane, and the stability regions and Ziegler's areas are constructed in the parameoter space of the problem. |
| Received |
01 December 2008 |
| Link to Fulltext |
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