The effects of fluid resonance on the boundary stresses of a fluid-filled cavity
Determination of the dynamic stresses at the boundary of a cavity filled with an inviscid compressible fluid during the passage of a plane dilatational wave train. The steady-state response or admittance function is obtained for a circular cavity of infinite extent. It is found that at critical frequencies the intensity of the boundary stresses can be significantly higher than that predicted under static loading. It is shown that the high intensities are due to resonance in the fluid and that the resonance conditions can be predicted once the properties of the medium and the fluid are known. Computations are presented for a case representing a water-filled, 20-ft-diameter cavity in rock. It is indicated that the transient response to an aperiodic disturbance could be obtained through the use of a Fourier convolution.