Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2021-1pp.40-54

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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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 2019Revised 22 May 2019Accepted 06 June 2019
Link to Fulltext https://link.springer.com/article/10.3103/S0025654421010088
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