Abstract The analysis of violent sloshing is of great interest for European aeroplane manufacturers. It has been widely reported that aircraft fuel sloshing significantly damps wing vibrations, but the complexity of the fluid–structure phenomena still demands further research. The aim of this work is to define an experimental methodology to quantify the sloshing force acting on a vertical Single Degree Of Freedom (SDOF) tank when the accelerations are similar to the ones found in a real wing. In this work, two different methodologies are presented for the calculation of the sloshing force involved in the SDOF tests, finding a very good level of agreement between them. A Froude scaled SDOF experiment has been devised for sloshing study, confirming first that the fluid presence increases the damping of the system notably, and second that the slosh-induced damping force is composed of an inertial term and a dissipative term. The sloshing force study also shows that this force is shifted with respect to position measurements, and this phase-shift is a key element in fluid-induced energy dissipation. A global energy study connecting the sources of energy dissipation with the forces involved in the dynamics of the system is performed, obtaining a quantitative contribution of the fluid’s role in the system. Finally, a numerical model has been tested using the experimentally obtained sloshing forces as an input exhibiting good agreement with the previously obtained experimental results.

中文翻译：

---

单自由度垂直晃荡舱液体阻尼效应的实验研究

摘要 欧洲飞机制造商对剧烈晃荡的分析非常感兴趣。据广泛报道，飞机燃料晃动显着抑制机翼振动，但流固现象的复杂性仍需要进一步研究。这项工作的目的是定义一种实验方法，当加速度与真实机翼中的加速度相似时，量化作用在垂直单自由度 (SDOF) 油箱上的晃荡力。在这项工作中，提出了两种不同的方法来计算 SDOF 测试中涉及的晃动力，发现它们之间的一致性非常好。为晃荡研究设计了 Froude 标度的 SDOF 实验，首先证实流体的存在显着增加了系统的阻尼，其次，晃动引起的阻尼力由惯性项和耗散项组成。晃荡力研究还表明，该力相对于位置测量发生了偏移，并且这种相移是流体引起的能量耗散的关键因素。执行将能量耗散源与系统动力学中涉及的力联系起来的全局能量研究，获得流体在系统中的作用的定量贡献。最后，使用实验获得的晃荡力作为输入对数值模型进行了测试，该模型与先前获得的实验结果非常吻合。这种相移是流体引起的能量耗散的关键因素。执行将能量耗散源与系统动力学中涉及的力联系起来的全局能量研究，获得流体在系统中的作用的定量贡献。最后，使用实验获得的晃荡力作为输入对数值模型进行了测试，该模型与先前获得的实验结果非常吻合。这种相移是流体引起的能量耗散的关键因素。执行将能量耗散源与系统动力学中涉及的力联系起来的全局能量研究，获得流体在系统中的作用的定量贡献。最后，使用实验获得的晃荡力作为输入对数值模型进行了测试，该模型与先前获得的实验结果非常吻合。