Abstract
Nonlinear sloshing motion of the liquid in a partially filled circular cylindrical tank is investigated. The tank is subjected to horizontal, vertical and pitching excitations. The nonlinear ordinary differential equations governing the liquid surface oscillation are derived by applying Galerkin's method. It is confirmed that the vertical excitation causes the parametric excitation. In addition, it is noted that the pitching excitation also causes the parametric excitation when the pitching axis does not intersect the symmetrical axis of the circular cylindrical tank. The time histories of the liquid surface displacement are calculated to the harmonic pitching excitations. An experiment is carried out using a model tank. A fairly good agreement was found between the theoretical and experimental results. It is shown that, even if the tank is only subjected to the pitching excitation, the amplitude of liquid surface oscillation grows owing to parametric resonance.
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