Abstract
Linear response analyses were carried out to investigate the influence of an elastic bottom plate motion on a liquid free surface resonant response amplitude in a cylindrical container with a rigid wall. The bottom plate is harmonically excited with a constant amplitude in the frequency range of the lower sloshing mode, assuming that liquid responses are axisymmetric. Resonant response amplitudes of the free surface were found to vary with liquid heights; i.e., with the increase of the liquid height from zero, response amplitudes increase, taking a maximum at some height, and then decrease with the liquid height, which indicates that there is a most effective liquid height on the response amplitude, and the influence of the bottom motion decreases with the liquid height. The calculated results obtained here showed qualitative agreement with experimental results.
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