 | | 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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| << Previous article | Volume 79, Issue 5 / 2015 | Next article >> |
| D.V. Balandin and E.S. Shalimova, "Bifurcations of the relative equilibria of a heavy bead on a hoop uniformly rotating about an inclined axis with dry friction," J. Appl. Math. Mech. 79 (5), 440-445 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
5 |
Pages |
440-445 |
| DOI |
10.1016/j.jappmathmech.2016.03.004 |
| Title |
Bifurcations of the relative equilibria of a heavy bead on a hoop uniformly rotating about an inclined axis with dry friction |
| Author(s) |
D.V. Balandin (N.I. Lobachevskii State University of Nizhny Novgorod, Nizhny Novgorod)
E.S. Shalimova (M.V. Lomonosov Moscow State University, Moscow, Russia, ekateryna-shalimova@yandex.ru) |
| Abstract |
The sliding of a heavy bead threaded onto a thin circular hoop rotating at a constant angular velocity about an inclined axis located in its plane and passing through its centre is considered. A dry friction force acts between the bead and the hoop. The sets of the non-isolated positions of relative equilibrium of the bead on the hoop are found and their dependence on the parameters of the problem is investigated. The results are presented in the form of bifurcation diagrams. |
| Received |
23 December 2014 |
| Link to Fulltext |
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