Quasi-optimal deceleration of rotations of a gyrostat with internal degree of freedom in a resistive medium

Authors

  • Dmytro Leshchenko Odessa State Academy of Civil Engineering and Architecture, Didrikhson str., 4, Odessa, 65029, Ukraine
  • Sergey Ershkov Plekhanov Russian University of Economics, Stremyanny lane, 36, Moscow, 117997, Russia
  • Katerina Palii Odessa State Academy of Civil Engineering and Architecture, Didrikhson str., 4, Odessa, 65029, Ukraine

Keywords:

deceleration, fluid, mass, resisting medium, averaging

Abstract

The problem of the time-dependent quasi-optimal deceleration of dynamically symmetric rigid body rotations under a small control torque in the ellipsoidal domain with close unequal values of the ellipsoid’s semiaxes is studied. It is assumed that the body contains a spherical cavity filled with a highly viscous fluid (assuming small Reynolds numbers). The body is assumed to have a moving mass connected to it via elastic coupling with quadratic dissipation. The moving mass is modeling the 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 acted upon by a small medium resistance torque. The problem is solved asymptotically, based on the procedure of averaging the precession-type motion over the phase. The qualitative properties of quasi-optimal motion are analyzed and the corresponding graphs are presented.

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AKULENKO, L. D., KOZACHENKO, T. A., LESHCHENKO, D. D., Time quasi-optimal deceleration of rotations of a gyrostat with a moving mass in a resistive medium, J. Comput Syst Sci Int., 58, 5, pp. 667-673, 2019.

Published

2020-12-10

Issue

Vol. 65 No. 3 (2020): Spaceflight Mechanics and Astronautics

Section

Articles

Copyright (c) 2021 The Romanian Journal of Technical Sciences. Applied Mechanics.

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