 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 41, Issue 3 / 2006 | Next article >> |
| G. G. Denisov and V. V. Novikov, "A problem of gyroscopic stabilization of mechanical systems," Mech. Solids. 41 (3), 8-11 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
3 |
Pages |
8-11 |
| Title |
A problem of gyroscopic stabilization of mechanical systems |
| Author(s) |
G. G. Denisov (Nizhny Novgorod)
V. V. Novikov (Nizhny Novgorod) |
| Abstract |
According to the Kelvin theorem, unstable conservative systems with an even
degree of instability can be stabilized
by means of gyroscopic forces. Usually, the gyroscopic stabilization is
demonstrated for a system with two degrees of freedom or a system with 2n degrees of freedom
that can be split into n independent systems. For such a system (or each of the n independent
systems), one can find a certain value of the parameter characterizing the gyroscopic forces
such that the system becomes stable as this value is exceeded.
In this paper, a system with four interdependent degrees of freedom is considered.
This system is stabilized by the same gyroscopic forces. It turns out that
the stabilization conditions in this case differ from those in the cases
mentioned above: the values of the parameter characterizing the gyroscopic forces
belong to a finite interval, i.e., in contrast to systems with two degrees of freedom,
the range of the parameter is bounded from above. |
| References |
| 1. | D. R. Merkin, Introduction to the Theory of Stability of Motion [in Russian],
Nauka, Moscow, 1971. |
| 2. | N. G. Chetaev, Stability of Motion. Studies in Analytical Mechanics [in Russian], Izd-vo
AN SSSR, Moscow, 1962. |
|
| Received |
01 December 2003 |
| << Previous article | Volume 41, Issue 3 / 2006 | Next article >> |
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