バルジングモードを用いた矩形容器内の溢水を伴うスロッシング解析

抄録

Sloshing is a phenomenon of fluid motion in a partially filled container. Sloshing often caused overflow, during events such as seismic vibrations. Thus, the prediction of the sloshing phenomenon with overflow is important. The purpose of this study is to propose an analysis method of the sloshing with overflow in a rectangular tank and to clarify the influence of overflow on the sloshing phenomenon. For this purpose, the basic equations of the system considering overflow are derived. The velocity potential of sloshing with overflow is represented by a linear combination of bulging modes in a rectangular tank without overflow. Then, the differential equations governing the generalized coordinates of velocity potentials and the water depth are obtained. The eigenvalue and the time history analyses are carried out to investigate the characteristics of sloshing with overflow. Then, the results of these analyses are compared with the results of the conventional linear sloshing analysis and experiments to verify the validity of the proposed method.