Nonlinear Oscillations of a Charged Drop with Multimodal Initial Deformation of Its Equilibrium Shape

Abstract

For axisymmetric oscillations of a charged drop, in the quadratic approximation in the amplitude of an arbitrary initial deformation of its equilibrium spherical shape, an expression describing its surface shape as a function of time is obtained. Regularities in the formation of the spectrum of modes excited in the second order as a result of intermodal interaction are analyzed. It is shown that nonlinear oscillations of the drop surface occur in the neighborhood of an elongated spheroid-like figure, not a sphere as followed from the linear analysis.