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On the conditions for realization of nonlinear resonance in an oscillating charged drop

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Abstract

Nonlinear oscillations of a charged drop upon the initial deformation of the equilibrium spherical shape representing a superposition of several modes are studied. A condition for the excitation mode frequencies is established under which a resonance interaction of the oscillation modes in the drop takes place. For a drop charged below the critical level for realization of the instability with respect to the intrinsic charge, there is a large number of resonance conditions rather than a single situation, as known previously.

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References

  1. J. A. Tsamopoulos and R. A. Brown, J. Fluid Mech. 147, 373 (1984).

    ADS  Google Scholar 

  2. S. O. Shiryaeva, Pis’ma Zh. Tekh. Fiz. 26(22), 76 (2000) [Tech. Phys. Lett 26, 1016 (2000)].

    Google Scholar 

  3. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975; World Scientific, Singapore, 1988).

    Google Scholar 

  4. M. I. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves (Nauka, Moscow, 1984).

    Google Scholar 

  5. I. P. Mazin, A. Kh. Khrgian, and I. M. Imyanitov, Clouds and Cloud Atmosphere: a Handbook (Gidrometeoizdat, Leningrad, 1989).

    Google Scholar 

  6. A. I. Grigor’ev, Zh. Tekh. Fiz. 70(5), 22 (2000) [Tech. Phys. 45, 543 (2000)].

    Google Scholar 

  7. V. A. Dyachuk and V. M. Muchnik, Dokl. Akad. Nauk SSSR 248(1), 60 (1979).

    Google Scholar 

  8. A. I. Grigor’ev and S. O. Shiryaeva, Phys. Scr. 54, 660 (1996).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Yaroslavl State University, Yaroslavl, Russia

    S. O. Shiryaeva, D. F. Belonozhko & A. I. Grigor’ev

Authors
  1. S. O. Shiryaeva
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  2. D. F. Belonozhko
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  3. A. I. Grigor’ev
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__________

Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 28, No. 22, 2002, pp. 45–51.

Original Russian Text Copyright © 2002 by Shiryaeva, Belonozhko, Grigor’ev.

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Shiryaeva, S.O., Belonozhko, D.F. & Grigor’ev, A.I. On the conditions for realization of nonlinear resonance in an oscillating charged drop. Tech. Phys. Lett. 28, 945–948 (2002). https://doi.org/10.1134/1.1526892

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  • DOI: https://doi.org/10.1134/1.1526892

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