浅水波理論を応用したスロッシングの非線形応答 : 第2報, 長方形容器と円筒容器における非線形応答

概要

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This paper presents a numerical method of simulating nonlinear sloshing phenomena in a rectangular tank and a cylindrical tank which are rocked horizontally. Based on the shallow water wave theory, basic equations which describe the nonlinear responses of sloshing, are derived. They are discretized on space, and the ordinary differential equations with respect to time are obtained. With the nearly equal ratios of the second order natural frequency to the fundamental one, a correspondence between the nondispersive-discrete system and the dispersive-continuous system is obtained. These ordinary differential equations are solved with the Runge-Kutta-Gill Method, and the time responses of sloshing are obtained. Numerical results are in good agreement with experiments, so the applicability of this method is shown. Especially in case of shallow water, various nonlinear phenomena which are observed in experiments are displayed in numerical simulations.
一般社団法人日本機械学会の論文
1989-03-25