FORCED OSCILLATIONS OF NONSPHERICAL BUBBLES

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Abstract
Various aspects of an oscillating bubble are presented. The general formulation and the linear spherical oscillation are discussed first followed by a corresponding variational treatment. Nonlinear subharmonic spherical oscillations and nonspherical oscillation are presented next. The study of nonspherical oscillation leads to a discussion on nonlinear Mathieu equation. Finally, the variational method is employed for the study of the coupling between subharmonic spherical oscillation and nonspherical oscillation through nonlinear interaction. Experimental implication of the nonlinear coupling is briefly discussed

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