Stabilization of the motions of mechanical systems with variable masses

A holonomic mechanical system with variable masses and cyclic coordinates is considered. Such a system can have generalized steady motions in which the positional coordinates are constant and the cyclic velocities under the action of reactive forces vary according to a given law. Sufficient Routh-Ru...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2009-05, Vol.73 (1), p.1-7
Main Authors: Andreyev, A.S., Zainetdinov, R.B.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Online Access:Get full text
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Summary:A holonomic mechanical system with variable masses and cyclic coordinates is considered. Such a system can have generalized steady motions in which the positional coordinates are constant and the cyclic velocities under the action of reactive forces vary according to a given law. Sufficient Routh-Rumyantsev-type conditions for the stability of such motions are determined. The problem of stabilizing a given translational-rotational motion of a symmetric satellite in which its centre of mass moves in a circular orbit and the satellite executes rotational motion about its axis of symmetry is solved.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2009.03.014