低重力空間における軸対称容器内のスロッシング : 第2報,強制振動解析

概要

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Forced vibration analysis is performed for low-gravity sloshing using modal functions calculated in the previous report by the author. A partial spherical coordinate system is introduced to achieve the following two aims. One of them is to express the liquid surface and its displacement as single-valued functions and the other is to satisfy the compatibility of the surface displacement at the container wall. These aims cannot be achieved by conventional methods, which use cylindrical coordinates and consider the surface displacement only in the axial direction for spherical or ellipsoidal containers. A variational principle considering the surface tension and pressure difference at the liquid-gas interface is introduced and transformed into a modal equation by the Galerkin method. Numerical results show that response of the liquid surface displacement for a high liquid filling level is larger than in the case in which surface tension is neglected and that the liquid filling level yielding the maximum slosh force and moment increases with decreasing Bond number.
一般社団法人日本機械学会の論文
1995-05-25