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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 2, Pages 255–270
DOI: https://doi.org/10.2298/TAM171107017S (Mi tam33) 		 
Stability of Levitron$^{\textrm{TM}}$ revisited

Srboljub Simić

Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
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DOI: https://doi.org/10.2298/TAM171107017S
Abstract: This note discusses some issues related to stability of stationary motion of hovering magnetized top in a homogeneous magnetic field. Stability of synchronous motion is analyzed using the simplified model in which the hovering motion of the center of mass is ignored. Stability boundaries are derived using Lyapunov direct method. In particular, it is shown that, for a given angle $\Delta$ between magnetic moment dipole and principal axis of the top, there is an interval of stationary values of nutation angle $\theta_0$ for which the stationary synchronous motion is stable.
Keywords: stability, Lyapunov method, Levitron$^{\textrm{TM}}$.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia ON174016
The preparation of this paper was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, within the project “Mechanics of nonlinear and dissipative systems—contemporary models, analysis and applications” (Project No. ON174016).
Received: 07.11.2017
Revised: 01.12.2017
Bibliographic databases:
Document Type: Article
MSC: 70E50, 70K20
Language: English
Citation: Srboljub Simić, “Stability of Levitron$^{\textrm{TM}}$ revisited”, Theor. Appl. Mech., 44:2 (2017), 255–270
Citation in format AMSBIB
\Bibitem{Sim17}
\by Srboljub~Simi\'c
\paper Stability of Levitron$^{\textrm{TM}}$ revisited
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 2
\pages 255--270
\mathnet{http://mi.mathnet.ru/tam33}
\crossref{https://doi.org/10.2298/TAM171107017S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000423915600010}
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