Abstract
Nonlinear liquid motion in an elastic circular cylindrical tank partially filled with liquid, in response to pitching excitation, is investigated. The nonlinearity of liquid surface oscillation and the elastic wall deformation caused by the liquid pressure are considered in the response analysis of sloshing motion. Basic equations are derived by employing the variational principle. Free vibration analysis of the linearized system confirms that the influence of wall deformation on sloshing motion is negligible. The time histories of the liquid surface displacement and the deformation of the tank are calculated to the harmonic pitching excitations. An experiment was conducted using a model tank. A fairly good agreement was found between the theoretical and experimental results. It is shown that the nonlinear analysis is important for estimating sloshing responses.
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