利用延迟反馈控制柔性圆柱涡激振动数值研究

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摘要以三维细长柔性圆柱为研究对象，基于结构梁振动模型和尾流振子模型，采用二阶中心有限差分方法求解耦合方程，研究延迟反馈控制作用下柔性圆柱的涡激振动(vortex-induced vibration ，VIV)响应特性。研究发现：柔性圆柱的振动幅值和振动频率会随着延迟时间τ的增加呈现周期性变化，不同的延迟时间τ耦合不同的延迟增益kd，可以实现柔性圆柱不同振动幅值和振动频率的控制；在耦合延迟增益（kd）符号相反时，变化曲线会有半个周期的相位差；且延迟时间τ并不能改变振幅峰值，其大小只与延迟增益kd有关。理论分析证明：当τ不断增加时，振动频率f和波数k会趋向于定值。该研究提出的延迟反馈方法能够有效控制柔性圆柱的涡激振动，为海洋立管等柔性钝体的振动控制提供新的方法和思路。
关键词：柔性圆柱；尾流振子；涡激振动(VIV)；延迟反馈；数值计算

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	邹琳
	王程
	徐劲力
	陶凡
	左红成

关键词 ：柔性圆柱, 尾流振子, 涡激振动(VIV), 延迟反馈, 数值计算

Abstract：A numerical study based on wake oscillator and structure vibration oscillator using the time delay controller was conducted to determine the response of the vortex-induced vibration (VIV) on a flexible long cylinder. The coupling equations were solved based on the standard central finite difference method of the second order. The result shown that the vibration amplitude and frequency of the cylinder will change periodically as the delay time (τ) increases and different delay times τ are coupled with different delay gains kd, which can realize different vibration amplitudes and frequency of flexible cylinders. Time delay gain (kd) with opposite sign will lead a half-period phase difference in the vibration amplitude and frequency. The delay time τ can’t change the peak value of vibration amplitude, and the magnitude of the peak amplitude is only related to the delay gain kd. Finally, theoretical analysis proves that when τ keeps increasing, the vibration frequency f and wave number k tend to be constant. Delayed feedback control proposed in this paper can effectively control the vortex-induced vibration of the flexible cylinder, and provide new methods and ideas for controlling the vibration of marine risers.
Key words: flexible cylinder; wake oscillator; vortex-induced vibration (VIV); time delay control; numerical computation

Key words： flexible cylinder wake oscillator vortex-induced vibration (VIV) time delay control numerical computation

收稿日期: 2021-07-27 出版日期: 2022-11-28

引用本文:

邹琳,王程，徐劲力，陶凡，左红成. 利用延迟反馈控制柔性圆柱涡激振动数值研究[J]. 振动与冲击, 2022, 41(22): 193-201.
ZOU Lin,WANG Cheng,XU Jingli,TAO Fan,ZUO Hongcheng. Numerical study on the vortex-induced vibration control of a flexible cylinder based on the delay feedback technology. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(22): 193-201.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I22/193

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