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Acta Mechanica

, Volume 225, Issue 7, pp 1901–1914 | Cite as

Dynamics of the conductivity solid bodies in a high-frequency alternating magnetic field

  • D. Yu. SkubovEmail author
  • D. S. Vavilov
Article
  • 116 Downloads

Abstract

The conductivity bodies and systems of pendulum types situated in alternating magnetic field are very interesting objects from physical and mathematical point of view. In dependence of correlation between eigen frequency and frequency of external alternating magnetic field, many motions with very different characters are possible. So in high-frequency magnetic field is experimentally observed and mathematically described the stability of overturn pendulum state and also self-excited oscillations. If the magnetic field with average frequency like to eigen frequency, many others kinds of motions are possible. Particular motions of rare attractors type and others. The technical sense of these effects may be used for support stability of beforehand unstable positions conductivity bodies and so the excitement of oscillations with necessary characters, particular oscillations with necessary frequency.

Keywords

Equilibrium Position Maxwell Equation Solid Body Slow Motion Electromagnetic Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Landa, P.S.: Nonlinear Oscillations and Waves. Nauka, Moscow, 495 C (1997)Google Scholar
  2. 2.
    Khodzhaev K.Sh., Shatalov S.D.: On slow motions of a conducting body in magnetic field. Trans. USSR Acad. Sci. Mech. Solids 2, 175–182 (1981)Google Scholar
  3. 3.
    Neimark, Yu.I., Fufaev, N.N.: Dynamics of Nonholonomic Systems. Nauka, Moscow, p. 519 (1964)Google Scholar
  4. 4.
    Tamm I.E.: Basics of the Theory of Electricity. Nauka, Moscow (1989)Google Scholar
  5. 5.
    Skubov, D.Yu., Khodzhaev, K.Sh.: Non-linear Electromechanics. Springer, Berlin, p. 393 (2008)Google Scholar
  6. 6.
    Artemeva, M.S., Skubov, D.Yu.: Stability of a ring circular configuration in axisymmetrical magnetic field. In: Transactions APM XXIX, St. Petersburg, pp. 102–110 (2002)Google Scholar
  7. 7.
    Kozorez V.V.: Dynamic System of Magnetically Interacting Free Bodies. Naukova Dumka, Kiev (1981)Google Scholar
  8. 8.
    Sermons, G.Ya.: Dynamics of Bodies in Magnetic Field. Riga, Zinatne, p. 247 (1974)Google Scholar
  9. 9.
    Zhuravlyov, Yu.N.: Active Magnetic Bearings: Theory, Design, Applications. Polithechnica, St.Petersburg, p. 206 (2003)Google Scholar
  10. 10.
    Metlin, V.B.: Magnetic and Magnetohydrodynamic Supports. Nauka, Moscow, p. 519 (1967)Google Scholar
  11. 11.
    Martinenko Yu.G.: Motion of the solid in electric and magnetic fields. Nauka, Moscow (1988)Google Scholar
  12. 12.
    Urman, Yu.M.: Drift of the moments caused by a non-spherical rotor in suspension with axisymmetric field. Trans. USSR Acad. Sci. MTT (Mech. Solids) (1), 24–31 (1973)Google Scholar
  13. 13.
    Volosov V.M., Morgunov B.I.: Method of Averaging in Theory of Nonlinear Oscillating Systems. Publishers of Moscow State University, Moscow (1971)Google Scholar
  14. 14.
    Bautin, N.N., Leontovich, E.A.: Methods and Approaches of Qualitative Investigation of Dynamic Systems in Plane. Nauka, Moscow, p. 487 (1990)Google Scholar
  15. 15.
    Artemeva M.S., Skubov D.Yu.: Dynamics of conducting bodies of pendulum type in the high-frequency magnetic field. Trans. Russ. Acad. Sci. Mech. Solids 4, 29–39 (2001)Google Scholar

Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  1. 1.IPME, RASSaint-PetersburgRussia

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