 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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,
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No. 3, 82-86 (1996). |
| 3. | D. R. Merkin,
Gyroscopic Systems
(Nauka, Moscow, 1974)
[in Russian]. |
| 4. | G. Genta, C. Delprete, and B. Rondano,
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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 |
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