 | | 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: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
|
| In English (J. Appl. Math. Mech.): | | 799 |
|
| << Previous article | Volume 80, Issue 4 / 2016 | Next article >> |
| T.E. Churkina, "The stability of the rotation of a spheroid about a horizontal axis with impacts on a horizontal plane," J. Appl. Math. Mech. 80 (4), 290-301 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
4 |
Pages |
290-301 |
| DOI |
10.1016/j.jappmathmech.2016.09.003 |
| Title |
The stability of the rotation of a spheroid about a horizontal axis with impacts on a horizontal plane |
| Author(s) |
T.E. Churkina (Moscow Aviation Institute, Moscow, Russia, tatiana802@mail.ru) |
| Abstract |
The motion of a uniform spheroid over a fixed absolutely smooth horizontal plane with impacts on the plane when an impact is absolutely elastic is considered. In the unperturbed motion, the spheroid rotates about a horizontally positioned axis of symmetry with a constant angular velocity and its centre of gravity in the intervals between the impacts moves along a fixed vertical. The stability of this motion with respect to the angle of inclination of the axis of symmetry of the spheroid from the vertical is investigated in a strict nonlinear formulation. Analytical expressions are obtained for the stability and instability conditions in terms of the problem parameters and geometric illustrations of the results obtained are constructed. |
| Received |
17 November 2015 |
| Link to Fulltext |
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