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On internal mode resonance in a nonlinearly vibrating volumetrically charged dielectric drop

  • Gases and Liquids
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Abstract

In the approximation quadratic in the amplitude of an arbitrary initial deformation of an equilibrium spherical uniformly (volumetrically) charged drop of a dielectric liquid, an analytical expression for the drop surface generatrix as a function of time is derived in the case when the drop shape executes axisymmetric vibrations. A condition that must be imposed on mode frequencies in order for resonant interaction between modes to take place in the quadratic approximation is found. It is shown that many resonances, rather than one known previously, are realized when the self-charge is insufficient (subcritical) for drop surface instability against self-charge to arise. Nonlinear two-and three-mode resonant interactions are studied.

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  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    S. O. Shiryaeva

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  1. S. O. Shiryaeva
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__________

Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 73, No. 2, 2003, pp. 19–30.

Original Russian Text Copyright © 2003 by Shiryaeva.

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Shiryaeva, S.O. On internal mode resonance in a nonlinearly vibrating volumetrically charged dielectric drop. Tech. Phys. 48, 152–164 (2003). https://doi.org/10.1134/1.1553554

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  • DOI: https://doi.org/10.1134/1.1553554

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