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

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....

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Bibliographic Details
Published inJournal of vibration and control Vol. 29; no. 15-16; pp. 3418 - 3434
Main Authors Yoshitake, Tatsuhiro, Ishikawa, Satoshi, Kondou, Takahiro
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.08.2023
Subjects
concentrated mass model
storage tank
modeling
nonlinear dynamics
Sloshing
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Summary: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.
ISSN:1077-5463
1741-2986
DOI:10.1177/10775463221095934