Speedup of the Chaplygin Top by Means of Rotors


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In this paper we consider the control of the motion of a dynamically asymmetric unbalanced ball (Chaplygin top) by means of two perpendicular rotors. We propose a mechanism for control by periodically changing the gyrostatic momentum of the system, which leads to an unbounded speedup. We then formulate a general hypothesis of the mechanism for speeding up spherical bodies on a plane by periodically changing the system parameters.

Sobre autores

A. Borisov

Udmurt State University, ul. Universitetskaya 1; Center for Technologies in Robotics and Mechatronics Components, Innopolis University

Email: archive@rcd.ru
Rússia, Izhevsk, 426034; ul. Universitetskaya 1, Innopolis, 420500

A. Kilin

Udmurt State University, ul. Universitetskaya 1; Moscow Institute of Physics and Technology

Email: archive@rcd.ru
Rússia, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700

E. Pivovarova

Center for Technologies in Robotics and Mechatronics Components, Innopolis University; Moscow Institute of Physics and Technology

Autor responsável pela correspondência
Email: archive@rcd.ru
Rússia, ul. Universitetskaya 1, Innopolis, 420500; Institutskii per. 9, Dolgoprudnyi, 141700

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