Steady-state Oscillations of Gas Bubbles in Liquids: Explicit Formulas for Frequency Response Curves

The steady-state nonlinear oscillations of a spherical gas bubble in an incompressible, viscous liquid subject to an acoustic pressure field are investigated by the multiscale perturbation method. As a result, simple formulas for the frequency response curves in the regions of main resonance, first and second ultraharmonic and first and second subharmonic, are obtained to second order in the expansion