Numerical study on the vortex-induced vibration control of a flexible cylinder based on the delay feedback technology

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (22) : 193-201.

ZOU Lin,WANG Cheng,XU Jingli,TAO Fan,ZUO Hongcheng

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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

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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[J]. Journal of Vibration and Shock, 2022, 41(22): 193-201

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