 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 77, Issue 3 / 2013 | Next article >> |
| V.I. Kalenova and V.M. Morozov, "The effect of dissipative and gyroscopic forces on the stability of a class of linear time-varying systems," J. Appl. Math. Mech. 77 (3), 278-286 (2013) |
| Year |
2013 |
Volume |
77 |
Issue |
3 |
Pages |
278-286 |
| Title |
The effect of dissipative and gyroscopic forces on the stability of a class of linear time-varying systems |
| Author(s) |
V.I. Kalenova (Moscow, Russia, kalen@imec.msu.ru)
V.M. Morozov (Moscow, Russia) |
| Abstract |
It is shown that the effect of dissipative and gyroscopic forces on a certain class of potential linear time-varying system differs considerably from the effect of these forces on a time-invariant system. Examples are considered. In the first of these, the equations of motion of a disk, attached to a rotating weightless elastic shaft, are investigated, taking external friction into account. The results obtained are compared with the results obtained previously by others when considering this problem. In the second example, certain problems of the stability of rotation of a Lagrange top on a base subjected to vertical harmonic vibrations are investigated. |
| Received |
24 April 2012 |
| Link to Fulltext |
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