Direct Measurements of Vortex-Induced Vibrations on a Horizontal Flexible Cylinder in Water

F. Cenci, Aline Leal de Lima Gontarski, Maria Eduarda Felippe Chame, Cláudia Martins Peri Machado dos Santos, Rodolfo T. Gonçalves, A. Fujarra
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Abstract

This work presents experimental results on Vortex-induced Vibration (VIV) of a horizontal cylinder with 2.69m in length, 21mm in diameter, and a mass ratio equal to 3.9. The experiments were carried out in a towing tank, where the flexible cylinder was towed under constant current profiles. Twenty reduced velocities were tested in a range of 1.75 < Vr < 15.79, corresponding to Reynolds numbers from 1,000 to 10,000. The displacements were measured directly through a submerged optical system that simultaneously acquired the in-line and cross-flow movement of 18 reflective targets along the length. The extensive monitored section of the model enabled the application of a modal decomposition technique, which is a methodology that is still relatively unexplored through direct measurements. A comprehensive analysis was applied and the VIV responses related to amplitudes, frequencies, phase angles, and trajectories are shown and discussed in depth. The overall dynamics exhibits a multimodal response behavior, and the modal decomposition procedure has conclusively confirmed that the total amplitude comprises several modes vibrating at the dominant mode frequency. Root mean square values of response amplitude were up to 0.77D and 0.23D in the cross-flow and in-line directions, respectively. The cross-flow synchronization had a significant impact on the in-line excitation modes, and the trajectories showed coherence between motions.
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直接测量水平柔性圆柱体在水中的涡流诱导振动
本研究介绍了一个长度为 2.69 米、直径为 21 毫米、质量比为 3.9 的水平圆柱体的涡流诱导振动(VIV)实验结果。实验在拖曳水槽中进行,柔性圆柱体在恒定水流条件下被拖曳。在 1.75 < Vr < 15.79 的范围内,测试了 20 个降低的速度,对应的雷诺数从 1,000 到 10,000 不等。位移直接通过水下光学系统进行测量,该系统可同时获取沿长度方向 18 个反射目标的在线和横流运动。由于模型的监测截面很大,因此可以应用模态分解技术,这是一种通过直接测量还相对缺乏探索的方法。我们采用了综合分析方法,显示并深入讨论了与振幅、频率、相位角和轨迹相关的 VIV 响应。整体动力学表现出多模态响应行为,模态分解过程最终证实,总振幅由在主模态频率上振动的多个模态组成。横流和直流方向的响应振幅均方根值分别高达 0.77D 和 0.23D。横流同步对在线激励模式有显著影响,运动轨迹显示出运动之间的一致性。
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