Email this article Speedup of a 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
- Research Robotics Development Center Innopolis University
- Moscow Institute of Physics and Technology
- Issue: Vol 485, No 3 (2019)
- Pages: 285-289
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/12845
- DOI: https://doi.org/10.31857/S0869-56524853285-289
- ID: 12845
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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; Research Robotics Development Center Innopolis University
Email: archive@rcd.ru
Russian Federation, 1, Universitetskaya street, Izhevsk, 426034; 1, Universitetskaya street, Innopolis, 420500
A. A. Kilin
Udmurt State University; Moscow Institute of Physics and Technology
Email: archive@rcd.ru
Russian Federation, 1, Universitetskaya street, Izhevsk, 426034; 9, Institutskij, Dolgoprudny, Moscow region, 141701
E. N. Pivovarova
Research Robotics Development Center Innopolis University; Moscow Institute of Physics and Technology
Author for correspondence.
Email: archive@rcd.ru
Russian Federation, 1, Universitetskaya street, Innopolis, 420500; 9, Institutskij, Dolgoprudny, Moscow region, 141701
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