 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| Konosevich B.I. and Konosevich Yu.B., "Stability Criterion for Stationary Solutions of the Equations of a Multi-Current Model of a Synchronous Gyroscope in a Gimbal. 2," Mech. Solids. 56 (1), 40-54 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
1 |
Pages |
40-54 |
| DOI |
10.3103/S0025654421010088 |
| Title |
Stability Criterion for Stationary Solutions of the Equations of a Multi-Current Model of a Synchronous Gyroscope in a Gimbal. 2 |
| Author(s) |
Konosevich B.I. (Institute of Applied Mathematics and Mechanics, Donetsk, 83114 Ukraine, konos.donetsk@yandex.ru)
Konosevich Yu.B. (Institute of Applied Mathematics and Mechanics, Donetsk, 83114 Ukraine) |
| Abstract |
This article is the second part of the work, published in the form of two articles. The case, which remained unexplored in the first part, is considered, when for an unperturbed value of the constant of the cyclic integral, the mechanical reduced potential energy is constant with respect to the internal cardan angle. It is proved that in this case, for the majority of device designs, instability of all stationary solutions of the equations of motion takes place. It follows from the results obtained that for most device designs the presence of an isolated minimum of the total reduced potential energy is a necessary and sufficient condition for the stability of any stationary solution of the equations of motion. |
| Keywords |
gyroscope in gimbals, stationary motion, synchronous electric motor, Lyapunov stability, reduced potential energy, La Salle invariance principle |
| Received |
20 April 2019 | Revised |
22 May 2019 | Accepted |
06 June 2019 |
| Link to Fulltext |
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