A dynamical system involving the decaying test of a partially filled liquid tank is analyzed in the present paper. This analysis is relevant for the design of aircraft fuel tanks, where the wings' structural dynamics are influenced by the complexity and the violence of the internal flow generated when atmospheric turbulence or gust is encountered. The study of this kind of system is performed in order to understand the extra energy dissipation caused by the confined fluid, and the interacting force between the fluid and the tank resulting from the vertical sloshing. A complete non-dimensional analysis of the problem in terms of additional damping has been performed, and the dependency on the most relevant non-dimensional numbers has been monitored. A coupled numerical simulation where both the tank and the fluid are combined has been used to study the system, and their results are compared to previous experiments. A smoothed particle hydrodynamics model, extensively validated in the sloshing literature, is used to calculate the magnitude and frequency of the vertical force between the fluid and the tank. The extra dissipation of the tank's mechanical energy caused by the fluid action is quantified for a particular configuration with constant filling level and a wide range of non-dimensional numbers. The sensitivity of the extra damping to the variation of the non-dimensional numbers is evaluated, and the most relevant ones are compared to the equivalent experimental tests. Results show that the numerical tool developed is able to capture the different phenomena involved and can be used to determine the influence of the different phenomena happening in violent vertically excited flows.

本文分析了涉及部分装满的液体罐的衰减测试的动力学系统。该分析与飞机油箱的设计有关，在这种情况下，机翼的结构动力学会受到复杂性以及遇到大气湍流或阵风时产生的内部流动的剧烈程度的影响。进行这种系统的研究是为了了解受限流体引起的额外能量耗散，以及由于垂直晃动而导致的流体与油箱之间的相互作用力。已经完成了关于附加阻尼方面的问题的完整无量纲分析，并且已经监视了对最相关的无量纲数的依赖性。耦合数值模拟将水箱和流体结合在一起，已用于研究该系统，并将其结果与以前的实验进行了比较。在晃动文献中广泛验证的平滑粒子流体动力学模型用于计算流体与水箱之间的垂直力的大小和频率。对于具有恒定填充水平和宽范围的无量纲数字的特定配置，可以量化由流体作用引起的储罐机械能的额外耗散。评估了额外阻尼对无量纲数字变化的敏感性，并将最相关的变量与等效的实验测试进行了比较。