 | | 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 (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Burov and I.A. Yakushev, "Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction," J. Appl. Math. Mech. 78 (5), 460-467 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
5 |
Pages |
460-467 |
| Title |
Bifurcations of the relative equilibria of a heavy bead on a rotating hoop with dry friction |
| Author(s) |
A.A. Burov (Moscow, Russia)
I.A. Yakushev (Moscow, Russia, jtm@ya.ru) |
| Abstract |
The sliding of a heavy bead, threaded on a thin circular hoop, rotating with a constant angular velocity around a vertical axis, situated in its plane and, in the general case, not passing through its vertical diameter, is considered. It is assumed that dry friction acts between the bead and the hoop. A set of unisolated positions of relative equilibrium of the bead on the hoop is obtained, and their dependence on the problem parameters is investigated. The results are presented in the form of bifurcation diagrams. The stability properties of the unisolated relative equilibria obtained are discussed. |
| Received |
23 January 2014 |
| Link to Fulltext |
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