涙滴形タンク内スロッシングのメカニカルモデル : 重力・遠心力比による液面傾斜の変化とコリオリ力を考慮した修正モデル(機械力学,計測,自動制御)

概要

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In previous studies, the author presented a computationally efficient analytical method for the sloshing problem with arbitrary axisymmetric static liquid domain by using spherical coordinates whose origin is at the top of the cone that is tangent to the tank at the contact line of the static liquid surface with the tank wall. In this paper, the proposed method is extended to the sloshing problem for a teardrop tank characterized by a geometrically complicated non-axisymmetric liquid domain shape. Mechanical models are developed for two orthogonal excitation directions that are parallel to the static liquid surface whose slope varies with the ratio between the gravity and centrifugal forces. The Coriolis acceleration causes coupling between the slosh motions in two orthogonal directions that are parallel to the static liquid surface. Based on this fact, a method of taking into account the Coriolis acceleration is presented by modifying the equation of motion for a mass that is connected to the tank with springs in two orthogonal directions.
一般社団法人日本機械学会の論文
2005-05-25