Abstract In the present study, aiming to provide practical guidance for the structural design, the effects of the small bottom and sidewall stiffeners on sloshing loads in shallow and intermediate liquid conditions are investigated numerically. The interaction between the highly nonlinear free surface flow and a large number of small stiffeners is modeled based on the Moving Particle Semi-implicit method. 2D models of a rectangular clean tank and tanks with small sidewalls or bottom stiffeners are considered. For filling ratios ranging from 5% to 20%, harmonic angular motions with periods around the analytical sloshing resonant ones are applied. Simulation snapshots and computed pressure time series, pressure variation, wave run-up, maximum fluid velocity, and kinetic energy were provided to clarify the complex interaction between the small baffles and the shallow free surface flow. As a result, except for the tanks with bottom stiffeners in shallow liquid conditions, in which the response under actual resonant frequency should be considered, the response computed using the clean tank excited by its resonant period can be adopted as a conservative estimation for the sloshing loads of actual tanks with small stiffeners.

中文翻译：

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考虑横摇共振运动的底部和侧壁加强筋对晃荡行为影响的数值研究

摘要 在本研究中，旨在为结构设计提供实用指导，数值研究了浅层和中层液体条件下小船底和侧壁加强筋对晃荡载荷的影响。基于移动粒子半隐式方法对高度非线性的自由表面流与大量小加强筋之间的相互作用进行建模。考虑了矩形清洁罐和带有小侧壁或底部加强筋的罐的 2D 模型。对于 5% 到 20% 的填充率，应用了周期围绕解析晃荡共振运动的谐波角运动。模拟快照和计算的压力时间序列、压力变化、波浪爬高、最大流体速度、并提供动能来阐明小挡板与浅层自由表面流之间的复杂相互作用。因此，除了在浅层液体条件下带有底部加强筋的液舱需要考虑实际共振频率下的响应外，可以采用由其谐振周期激发的清洁液舱计算的响应作为晃荡的保守估计。带有小加强筋的实际油箱的负载。