Abstract This paper presents an experimental study on the added masses associated with the cylinders of different cross-sectional geometries (circular, square and rectangular of side ratio of 4) and angles of attack ( θ = 0°- 90°) with respect to incident flow. Two fluid media are considered, i.e. water and paraffin oil. The added mass is investigated from three different perspectives. Firstly, the added mass is estimated from a shift in the oscillation frequency of the cylinder in water or paraffin oil from that in still air, referred to as the average added mass. Thus defined added mass is dependent on both cylinder cross-sectional geometry and orientation but is independent of the fluid medium. The average added mass decreases from 1.52 at θ = 0°to a minimum of 1.20 at θ = 45°for the square cylinder but grows monotonically from 0.55 at θ = 0°to 4.90 at θ = 90°for the rectangular cylinder. Secondly, the added mass is calculated from the equation of structural dynamics. This added mass decreases linearly with the decreasing oscillation amplitude, thus called the amplitude-dependent added mass. Thirdly, the amplitude-dependent added mass is reduced to the unique added mass in the absence of vibration. The unique added mass is in general smaller ( θ ) than the average added mass but displays a similar dependence on the cylinder cross-sectional geometry and θ .

中文翻译：

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附加质量对圆柱横截面几何形状和方向的依赖性

摘要 本文介绍了与不同横截面几何形状（圆形、正方形和边比为 4 的矩形）和迎角 (θ = 0°- 90°) 的圆柱体相关的附加质量的实验研究。流。考虑了两种流体介质，即水和石蜡油。从三个不同的角度研究增加的质量。首先，根据气缸在水或石蜡油中的振动频率与静止空气中的振动频率的变化来估算添加质量，称为平均添加质量。因此，定义的附加质量取决于圆柱横截面几何形状和方向，但与流体介质无关。对于方形圆柱，平均添加质量从 θ = 0° 时的 1.52 减少到 θ = 45° 时的最小值 1.20，但从 0 开始单调增长。对于矩形圆柱，在 θ = 0° 时为 55 到在 θ = 90° 时为 4.90。其次，根据结构动力学方程计算附加质量。这个增加的质量随着振荡幅度的减小而线性减少，因此称为幅度相关的增加质量。第三，在没有振动的情况下，依赖于振幅的附加质量被减少到唯一的附加质量。独特的附加质量通常小于平均附加质量 (θ)，但表现出对圆柱横截面几何形状和 θ 的类似依赖性。在没有振动的情况下，依赖于振幅的附加质量被减少到唯一的附加质量。独特的附加质量通常小于平均附加质量 (θ)，但表现出对圆柱横截面几何形状和 θ 的类似依赖性。在没有振动的情况下，依赖于振幅的附加质量被减少到唯一的附加质量。独特的附加质量通常小于平均附加质量 (θ)，但表现出对圆柱横截面几何形状和 θ 的类似依赖性。