Abstract

This is the first part of a pair of the studies which report the vertical sloshing, that is, the liquid surface motion in container oscillating in the vertical direction, concerning various equilateral-polygonal-section containers : namely, octagonal, heptagonal, hexagonal, pentagonal, square and trianglar containers together with a circular container, in order to generalise their sloshing modes. As a result, the authors classify the sloshing modes based on the circular-container sloshing modes, referring to computational and experimental results. This modal classification has some advantages over that based on the square-section-container sloshing modes. The present computation is based on the discrete singularity method. In the second part, the proposed modal classification is shown to be useful to predict the eigen frequencies.

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