Time Quasi-Optimal Deceleration of Rotations of a Gyrostat with a Moving Mass in a Resistive Medium
- Авторлар: Akulenko L.1, Kozachenko T.2, Leshchenko D.2
-
Мекемелер:
- Institute for Problems in Mechanics, Russian Academy of Sciences
- Odessa State Academy of Civil Engineering and Architecture
- Шығарылым: Том 58, № 5 (2019)
- Беттер: 667-673
- Бөлім: Control in Deterministic Systems
- URL: https://journals.rcsi.science/1064-2307/article/view/220460
- DOI: https://doi.org/10.1134/S1064230719050022
- ID: 220460
Дәйексөз келтіру
Аннотация
The problem of time quasi-optimal deceleration of the rotations of a rigid body that includes elements with distributed and lumped parameters is studied. It is assumed that the body contains a spherical cavity filled with a highly viscous fluid (at small Reynolds numbers) and a viscoelastic element that is modeled by a moving mass connected to the body by a strong damper. The moving mass models loosely attached elements in a space vehicle, which can significantly affect the vehicle’s motion relative to its center of mass during a long period of time. In addition, the body is affected by a small medium resistance torque and a small control torque localized in a ellipsoidal domain. The problem is solved asymptotically based on the procedure of averaging the unperturbed precession over the phase. A numerical solution is obtained.
Авторлар туралы
L. Akulenko
Institute for Problems in Mechanics, Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: gavrikov@ipmnet.ru
Ресей, Moscow, 119991
T. Kozachenko
Odessa State Academy of Civil Engineering and Architecture
Хат алмасуға жауапты Автор.
Email: kushpil.t.a@gmail.com
Украина, Odessa
D. Leshchenko
Odessa State Academy of Civil Engineering and Architecture
Хат алмасуға жауапты Автор.
Email: leshchenko_d@ukr.net
Украина, Odessa