带圆形壁面的竖直圆柱内的晃荡：径向挡板的影响
Sloshing in vertical cylinders with circular walls: the effect of radial baffles
AI总结：
该研究针对带圆形壁面的竖直圆柱容器，分析径向挡板打破轴对称性对晃荡特征值、特征函数的影响，明确了有无挡板时的特征值差异及对自由液面极值、节点位置的作用。
摘要：
本文研究了带圆形壁面、深度恒定（可能为无限大）的竖直圆柱形容器内晃荡特征值与特征函数的特性，分析了径向挡板的存在打破轴对称性所带来的影响。结果表明，对于挡板贯穿整个深度的容器，其最低特征值显著更小；此外，该情形下所有特征值均为单根。反之，无挡板时最低特征值具有二重简并。本文还阐明了这些性质如何影响自由液面高程的极大值、极小值位置以及其节点位置。
英文摘要：
The behaviour of sloshing eigenvalues and eigenfunctions is studied for vertical cylindrical containers that have circular walls and constant (possibly infinite) depth. The effect of breaking the axial symmetry due to the presence of radial baffles is analysed. It occurs that the lowest eigenvalues are substantially smaller for containers with baffles going throughout the depth; moreover, all eigenvalues are simple in this case. On the other hand, the lowest eigenvalue has multiplicity two in the absence of baffle. It is shown how these properties affect the location of maxima and minima of the free surface elevation and the location of its nodes.
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