圆柱体横流与顺流方向涡激振动耦合模型研究

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (11) : 22-30.

论文

高云1,张壮壮2,杨斌2,邹丽3

作者信息 +

The study on cross-flow and in-line vortex-induced vibration coupled model of a circular cylinder

GAO Yun1, ZHANG Zhuangzhuang2, YANG Bin2, ZOU Li3

Author information +

文章历史 +

摘要

基于尾流振子模型对刚性圆柱体在横流以及顺流方向涡激振动耦合模型进行了研究。首先建立了横流以及顺流方向考虑结构几何非线性的结构振子以及尾流振子模型，其次基于二阶精度中心差分格式对模型进行先离散后迭代求解，再次通过与他人实验结果进行对比验证了本文数值模型的可靠性，最后对不同质量比、不同结构阻尼比以及不同几何非线性系数下圆柱体涡激振动响应振动幅值以及振动轨迹进行了分析。分析结果表明：随着质量比的增大，横流以及顺流方向的振动幅值均呈下降趋势，锁定区间宽度逐渐变窄。随着结构阻尼比的增大，横流以及顺流方向的振动幅值同样呈下降趋势，而锁定区间宽度逐渐变宽。随着折合速度的增加，结构振动轨迹依次出现斜“8”字形、“月牙”形以及正“8”字形。随着几何非线性系数的增加，横流以及顺流方向振动幅值从上分支进入低分支时的位移突降现象会变得越来越明显。

Abstract

The coupled model of combined cross-flow (CF) and in-line (IL) vortex-induced vibration (VIV) of a rigid cylinder was studied based on the wake oscillator model. The model of the structural oscillator and wake oscillator considering structural geometrical nonlinearities in CF and IL directions was established first, and then the model was discretized and solved based on a standard central finite difference method of the second order. After that, the credibility of the present numerical model was validated by comparing with other researchers’ experimental results. Finally, the VIV response amplitudes in CF and IL directions and VIV trajectories with different mass ratios, different structural damping ratios and different geometrical nonlinearity coefficients were compared. Based upon the analysis results, it can be found that as the mass ratio increases, the vibration amplitudes in both CF and IL directions decrease, and the lock-in regions become smaller. As the structural damping ratio increases, the amplitudes in both CF and IL directions decrease, however, the lock-in regions become wider. As the reduced velocity increases, the VIV trajectories display oblique “8” figure, “crescent moon” figure and upright “8” figure in sequence. As the geometrical nonlinearity coefficients increase, the abrupt decrease from the upper branch to the lower branch in CF and IL VIV amplitudes become more obvious.

导出引用

高云1,张壮壮2,杨斌2,邹丽3. 圆柱体横流与顺流方向涡激振动耦合模型研究[J]. 振动与冲击, 2020, 39(11): 22-30

GAO Yun1, ZHANG Zhuangzhuang2, YANG Bin2, ZOU Li3. The study on cross-flow and in-line vortex-induced vibration coupled model of a circular cylinder[J]. Journal of Vibration and Shock, 2020, 39(11): 22-30

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