Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2016-4pp.290-301

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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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 http://www.sciencedirect.com/science/article/pii/S0021892816301204
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