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IssuesArchive of Issues2007-6pp.842-850

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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G. G. Denisov, V. V. Novikov, and A. E. Fedorov, "On the levitation of a charged body in an electrostatic field," Mech. Solids. 42 (6), 842-850 (2007)
Year 2007 Volume 42 Number 6 Pages 842-850
Title On the levitation of a charged body in an electrostatic field
Author(s) G. G. Denisov (Lobachevskii Nizhnii Novgorod State University, pr-t Gagarina 23, Nizhnii Novgorod, 603950, Russia)
V. V. Novikov (Lobachevskii Nizhnii Novgorod State University, pr-t Gagarina 23, Nizhnii Novgorod, 603950, Russia, novikov@mm.unn.ru)
A. E. Fedorov (Lobachevskii Nizhnii Novgorod State University, pr-t Gagarina 23, Nizhnii Novgorod, 603950, Russia, alexander.fedotov@intel.com)
Abstract The possibility of levitation of a body bearing a point electric charge in the electric field of a fixed point charge of the same sign is demonstrated. Stabilization of the unstable equilibrium state of the body in which the body weight is balanced by the Coulomb force is provided by gyro forces due to body rotation. The conservative stability of the levitating body corresponds to a finite range of angular velocities. It is shown that dissipative and circulatory forces considered together can improve the stability of the system to asymptotic stability. The attraction domain of the stable equilibrium position is studied numerically as a function of system parameters.
References
1.  S. Earnshaw, "On the Nature of the Molecular Forces which Regulate the Constitution of the Luminiferous Ether," Trans. Cambridge Philos. Soc. 116, 97-112 (1842).
2.  Yu. G. Martynenko, "On the Problem of Levitation in Force Fields," Soros. Obrazov. Zhurnal, No. 3, 82-86 (1996).
3.  D. R. Merkin, Gyroscopic Systems (Nauka, Moscow, 1974) [in Russian].
4.  G. Genta, C. Delprete, and B. Rondano, "Gyroscopic Stabilization of Passive Magnetic Levitation," Meccanica, No. 34, 411-424 (1999).
5.  T. B. Jones, M. Washizu, and R. Gans, "Simple Theory for the Levitron," J. Appl. Phys. 82 (2), 883-888 (1997).
6.  I. V. Veselitskii, V. S. Voronkov, G. G. Denisov, and R. V. Lin'kov, "Stabilization of a Movable Magnet in the Field of a Stationary one by Rotation," Zhurn. Tech. Fiz. 75 (3), 88-93 (2005) [Tech. Phys. (Engl. Transl.) 50 (3), 370-375 (2005)].
7.  I. N. Bronshtein and K. A. Semendyaev, Handbook on Mathematics (Fizmatlit, Moscow, 1986) [in Russian].
8.  Yu. I. Neimark, "Dynamical Systems and Controlled Processes," (Nauka, Moscow, 1978) [in Russian].
Received 20 January 2007
Link to Fulltext http://www.springerlink.com/content/r0351764870370k0
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