Abstract
Nonlinear responses of the predominant two sloshing modes in a square tank have been investigated when the tank is subjected to horizontal, narrow-band random ground excitation. Galerkin’s method is applied to derive the modal equations of motion for nonlinear sloshing. Then the Monte Carlo simulation is used to calculate the mean square responses of these two modes. These to modes are nonlinearly coupled with each other, known as ‘autoparametric interaction’. The responses differ significantly from those of the corresponding linear model, depending on the characteristics of the narrow-band ground excitation such as the bandwidth, center frequency and the intensity. In addition, it is found that the direction of the excitation is a significant factor in predicting the mean square responses.
Highlights
Sloshing dynamics is one of the most important issues in mechanical, civil, marine and aeronautical engineering
Threedimensional sloshing in square tanks subjected to horizontal, harmonic excitation was theoretically investigated and their results were compared with experimental data [5, 6]
Sakata et al investigated a cylindrical tank under random base excitation using modal equations of motion for sloshing [7]
Summary
Sloshing dynamics is one of the most important issues in mechanical, civil, marine and aeronautical engineering. Ground-breaking studies on nonlinear sloshing behaviour in cylindrical tanks subjected to horizontal, and/or vertical harmonic excitation were theoretically and experimentally examined by Hutton [3] and Abramson et al [4]. Threedimensional sloshing in square tanks subjected to horizontal, harmonic excitation was theoretically investigated and their results were compared with experimental data [5, 6]. Sakata et al investigated a cylindrical tank under random base excitation using modal equations of motion for sloshing [7]. Galerkin’s method is employed to derive the nonlinear modal equations of motion for sloshing These modal equations are solved using the Monte Carlo simulation and the mean square responses of the predominant two sloshing modes are calculated when the liquid tank is subjected to horizontal, narrow-band ground random excitation. The influences of the bandwidth and center frequency of the random excitation and the deviation angle of the tank are examined
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