TY - JOUR

T1 - Analysis of two-dimensional nonlinear sloshing in a rectangular tank by using a concentrated mass model

AU - Yoshitake, Tatsuhiro

AU - Ishikawa, Satoshi

AU - Kondou, Takahiro

N1 - Publisher Copyright:
© The Author(s) 2022.

PY - 2022

Y1 - 2022

N2 - Major problems can occur when liquid sloshes in a tank, such as in liquid storage tanks during an earthquake, and this is an important engineering problem to address. To analyze this phenomenon, the finite-element method is generally used but involves many degrees of freedom when the tank is large. In this paper, a nonlinear numerical model with relatively few degrees of freedom is established for vertical and horizontal two-dimensional nonlinear sloshing in a rectangular tank excited horizontally. In addition, a method is proposed for reducing the number of degrees of freedom in the two-dimensional model. The natural frequencies, modes, and frequency responses are then compared among the concentrated mass model, theoretical calculations, and experimental results. Good agreement was achieved among them, thus demonstrating the validity of the model.

AB - Major problems can occur when liquid sloshes in a tank, such as in liquid storage tanks during an earthquake, and this is an important engineering problem to address. To analyze this phenomenon, the finite-element method is generally used but involves many degrees of freedom when the tank is large. In this paper, a nonlinear numerical model with relatively few degrees of freedom is established for vertical and horizontal two-dimensional nonlinear sloshing in a rectangular tank excited horizontally. In addition, a method is proposed for reducing the number of degrees of freedom in the two-dimensional model. The natural frequencies, modes, and frequency responses are then compared among the concentrated mass model, theoretical calculations, and experimental results. Good agreement was achieved among them, thus demonstrating the validity of the model.

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U2 - 10.1177/10775463221095934

DO - 10.1177/10775463221095934

M3 - Article

AN - SCOPUS:85131173513

JO - Modal analysis

JF - Modal analysis

SN - 1077-5463

ER -