Two-dimensional horizontal motion of two floaters with internal flow using higher-order multi-modal method
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Previous studies have focused on the problem of sloshing, and coupling with body motion has only been conducted using a single-mode dominant method. Moreover, although the problem of secondary resonance induced by an internal fluid with sufficiently deep tank depths has been studied using the two-mode dominant method, sloshing below critical tank depths requires considerable research. This study investigated the two-dimensional horizontal motion of two rectangular boxes, including the internal flow. The hydrodynamic coefficients were calculated using the constant panel method, and the effect of the internal fluid was calculated using a multimodal method based on the Bateman-Luke variational principle. Consequently, the characteristics of the internal fluid motion were categorized based on the ratio of the internal fluid depth(h) to the tank length(l). For h/l values below the critical depth ratio (approximately 0.337 for a rectangular water tank), the single-mode dominant method was considered inappropriate for precisely de-scribing the sloshing phenomenon. Therefore, the aim of this study was to develop higher-order multimodal methods. The numerical results were compared with previous experimental data. Furthermore, a parametric study of modal damping was conducted.
Abstract
Previous studies have focused on the problem of sloshing, and coupling with body motion has only been conducted using a single-mode dominant method. Moreover, although the problem of secondary resonance induced by an internal fluid with sufficiently deep tank depths has been studied using the two-mode dominant method, sloshing below critical tank depths requires considerable research. This study investigated the two-dimensional horizontal motion of two rectangular boxes, including the internal flow. The hydrodynamic coefficients were calculated using the constant panel method, and the effect of the internal fluid was calculated using a multimodal method based on the Bateman-Luke variational principle. Consequently, the characteristics of the internal fluid motion were categorized based on the ratio of the internal fluid depth(h) to the tank length(l). For h/l values below the critical depth ratio (approximately 0.337 for a rectangular water tank), the single-mode dominant method was considered inappropriate for precisely de-scribing the sloshing phenomenon. Therefore, the aim of this study was to develop higher-order multimodal methods. The numerical results were compared with previous experimental data. Furthermore, a parametric study of modal damping was conducted.
참고문헌 (21)
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