|
Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2015, Volume 11, Number 4, Pages 633–645
(Mi nd498)
|
|
|
|
This article is cited in 11 scientific papers (total in 11 papers)
Original papers
The control of the motion through an ideal fluid of a rigid body by means of two moving masses
A. A. Kilinab, E. V. Vetchaninc a Udmurt State University,
Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Mathematics and Mechanics of the Ural Branch of RAS
ul. S. Kovalevskoi 16, Ekaterinburg, 620990, Russia
c M.T.Kalashnikov Izhevsk State Technical University,
Studencheskaya st. 7, Izhevsk, 426069, Russia
Abstract:
In this paper we consider the problem of motion of a rigid body in an ideal fluid with two material points moving along circular trajectories. The controllability of this system on the zero level set of first integrals is shown. Elementary “gaits” are presented which allow the realization of the body’s motion from one point to another. The existence of obstacles to a controlled motion of the body along an arbitrary trajectory is pointed out.
Keywords:
ideal fluid, Kirchhoff equations, controllability of gaits.
Received: 03.09.2015 Revised: 20.11.2015
Citation:
A. A. Kilin, E. V. Vetchanin, “The control of the motion through an ideal fluid of a rigid body by means of two moving masses”, Nelin. Dinam., 11:4 (2015), 633–645
Linking options:
https://www.mathnet.ru/eng/nd498 https://www.mathnet.ru/eng/nd/v11/i4/p633
|
|