Abstract
A new technique, i.e., the variational method, is introduced to solve the problem of nonlinear oscillation of a spherical gas bubble in liquid. The method is simple in concept and straight-forward in application. In a sinusoidal pressure field, it is shown that besides the fundamental response, harmonic oscillations of the bubble of order 2 and 3, and subharmonic responses of order 1/2 and 1/3 can also be generated. For illustration, the subharmonic response of order 1/2 is analyzed in detail. The amplitude and phase responses as well as the threshold pressures are explicitly exhibited for one branch of the solution. The existence of another complementary branch of solution is also indicated. Stability of the solution is finally discussed also from the variational approach. Subject Classification: 30.60, 30.75.
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