串列布置三圆柱涡激振动频谱特性研究

涂佳黄; 胡刚; 谭潇玲; 梁经群; 张平

doi:10.6052/0459-1879-21-036

串列布置三圆柱涡激振动频谱特性研究

doi: 10.6052/0459-1879-21-036

湘潭大学土木工程与力学学院, 湖南湘潭 411105

基金项目: 1)国家自然科学基金(51434002);国家自然科学基金(11602214);湖南省自然科学基金(2020JJ4568);湖南省教育厅科学研究优秀青年(18B079)

详细信息

作者简介:
2)涂佳黄, 副教授, 主要研究方向: 流体与结构相互作用. E-mail: tujiahuang1982@163.com

通讯作者:
涂佳黄

中图分类号: O357.1
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出版历程
- 收稿日期: 2021-01-22
- 刊出日期: 2021-06-01

STUDY ON THE SPECTRUM CHARACTERISTICS OF VORTEX-INDUCED VIBRATION OF THREE TANDEM CIRCULAR CYLINDERS

College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, Hunan, China

摘要

摘要: 对串列三圆柱体双自由度涡激振动问题进行了数值计算, 并分析了雷诺数、固有频率比和约化速度对串列三圆柱体结构动力响应及频谱特性的影响. 研究发现: 雷诺数、频率比对上游圆柱的振幅和流体力系数的影响较小. 中游圆柱频率锁定区域随着雷诺数的增大而增大, 其动力响应受上游圆柱尾流的影响较大, 但频率比的影响较小. 同时, 流体力系数在约化速度较小时受雷诺数和频率比的影响较大. 另外, 下游圆柱的振幅和流体力系数受雷诺数及频率比的影响较大. 雷诺数、频率比和约化速度对圆柱流体力系数能量谱密度(PSD)曲线中主峰幅值、频谱成分及波动性的影响较大. 流体力系数PSD曲线波动性的增强, 导致圆柱运动轨迹会从"8"字形转变成不规则形状. 当频率比为2.0时, 上游圆柱尾流出现P$+$S模式, 导致其发生非对称运动, 且升、阻力系数PSD曲线主峰重合. 最后, 激励荷载平均功率值随约化速度的变化趋势与对应的结构动力响应的变化类似. 在同一约化速度区间内, 结构振动响应的强弱与位移的平均功率值成正比. 对不同约化速度区间内的升力系数功率谱密度分析时, 振动频率比($f_{s}/f_{n, y})$对结构振动响应的影响更大.
- 串列三圆柱 /
- 涡激振动 /
- 动力响应 /
- 流体力系数 /
- 频谱特性
Abstract: The numerical computation of vortex-induced vibration of three circular cylinders in a tandem arrangement with two degrees of freedom has been carried out. The effects of Reynolds number, natural frequency ratio and reduced velocity on the dynamic response and spectral characteristics of three tandem cylinders were analyzed. The results indicate that the Reynolds number and natural frequency ratio have little influence on the amplitude and fluid force coefficient of the upstream cylinder. The frequency locked region of the midstream cylinder increases with the increasing of Reynolds number. The dynamic response of the midstream cylinder is greatly affected by the wake of the upstream cylinder, whereas the effect of natural frequency ratio is small. Meanwhile, when the reduced velocity is small, Reynolds number and natural frequency ratio have great influence on the fluid force coefficient. In addition, the amplitude and the fluid force coefficient of the downstream cylinder are greatly affected by Reynolds number and natural frequency ratio. Reynolds number, natural frequency ratio and reduced velocity have great influence on the main peak amplitude, spectrum component and fluctuation of fluid force coefficients PSD curve. The fluctuation of the PSD curve becomes intense, giving rise to the movement trajectory of cylinder from "8" shape to irregular shape. As natural frequency ratio increases to 2.0, the P$+$S mode is found in the wake of the upstream cylinder, which leads to the occurrence of asymmetric motion, and the equality of main peaks of the PSD curve of the lift and drag coefficients. Finally, the variation of average power value of excitation load with reduced velocity is similar to that of corresponding structural dynamic response. In the same reduced velocity range, the strength of structural vibration response is directly proportional to the average power value of displacement. When analyzing the power spectral density of lift coefficient in different intervals, the vibration frequency ratio has more influence on the structural vibration response.
- three tandem circular cylinder /
- vortex-induced vibration /
- dynamic response /
- fluid force coefficient /
- spectrum characteristics

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