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- Title
On Nonlinear Vibrations of a Charged Drop in the Third-Order Approximation in the Amplitude of Initial Single-Mode Excitation.
- Authors
Zharov, A. N.; Shiryaeva, S. O.; Grigor’ev, A. I.
- Abstract
Nonlinear axisymmetric motions of the free surface of a charged drop of an ideal liquid under the single-mode initial deformation of its equilibrium shape is investigated in the third-order approximation in the initial perturbation amplitude. An analytical expression for the drop shape generatrix is derived. Nonlinear corrections to the vibration frequencies for the initial perturbation of an arbitrary mode are found for the first time. The effect of vibration nonlinearity on the instability of the drop against its self-charge is studied.
- Subjects
LIQUIDS; MECHANICAL vibration research; DROPLETS
- Publication
Technical Physics, 2003, Vol 48, Issue 6, p697
- ISSN
1063-7842
- Publication type
Article
- DOI
10.1134/1.1583821