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 to the basic equations. The higher order radial modes are considered in the admissible functions which are assumed to be represented by combining the modal functions obtained by the linearization analysis. The effects of these higher order modes on liquid surface oscillation are discussed. The time histories of the liquid surface displacement to the harmonic pitching excitations are calculated. An experiment is carried out using a model tank. The usefulness of the present nonlinear analysis was demonstrated by comparing the theoretical results with the experimental ones. It is shown that the higher order radial modes play an important role in estimating the liquid surface displacement.
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