Email this article Speedup of the Chaplygin Top by Means of Rotors
- Authors: Borisov A.V.1,2, Kilin A.A.1,3, Pivovarova E.N.2,3
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Affiliations:
- Udmurt State University, ul. Universitetskaya 1
- Center for Technologies in Robotics and Mechatronics Components, Innopolis University
- Moscow Institute of Physics and Technology
- Issue: Vol 64, No 3 (2019)
- Pages: 120-124
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/193271
- DOI: https://doi.org/10.1134/S1028335819030145
- ID: 193271
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Abstract
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.
About the authors
A. V. Borisov
Udmurt State University, ul. Universitetskaya 1; Center for Technologies in Robotics and Mechatronics Components, Innopolis University
Email: archive@rcd.ru
Russian Federation, Izhevsk, 426034; ul. Universitetskaya 1, Innopolis, 420500
A. A. Kilin
Udmurt State University, ul. Universitetskaya 1; Moscow Institute of Physics and Technology
Email: archive@rcd.ru
Russian Federation, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, 141700
E. N. Pivovarova
Center for Technologies in Robotics and Mechatronics Components, Innopolis University; Moscow Institute of Physics and Technology
Author for correspondence.
Email: archive@rcd.ru
Russian Federation, ul. Universitetskaya 1, Innopolis, 420500; Institutskii per. 9, Dolgoprudnyi, 141700
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