Abstract
If the surface of a viscous liquid is completely covered by an elastic structure, the hydroelastic frequencies are shifted to a larger magnitude than those obtained with a free surface. It was found that viscosity decreases the oscillation frequencies in comparison to the coupled hydroelastic frequencies of frictionless liquid and that a new phenomenon appears, exhibiting for certain liquid height ranges h/a only aperiodic motion. With increasing angular and radial mode numbers these aperiodic ranges of h/a decrease. Higher modes show larger damping. An increase in the membrane tension decreases the aperiodic region, while an increase in the mass of the membrane increases it.
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