Vortex-induced vibration features and wake modes of three rigidly coupled circular cylinders in equilateral triangular arrangements

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (12) : 132-142.

ZHANG Xiaona1,JI Chunning1,2,CHEN Weilin1,XU Dong1,2,ZHANG Zhimeng1

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Abstract

Vortex-induced vibrations (VIV) of three rigidly coupled circular cylinders in equilateral triangular arrangements were numerically investigated by using the iterative immersed boundary method.The three cylinders, with one placed upstream and the other two downstream side-by-side, are free to oscillate only in the cross-flow direction.The normalized spacings between the cylinders are L*=1.0, 1.6, 2.5 and 4.0.The Reynolds number is Re=100, the mass ratio is m*=2.0, and the reduced velocity is Ur=3.0-30.0.Characteristics of the vibration amplitudes, fluid forces, vibration frequencies and the vortex-shedding modes were investigated.It was found that with the increment of the reduced velocity, the vibration responses at different L* can be categorized as the initial branch (IB), the lower branch (LB) and the desynchronized region (DS) which is further divided into the front desynchronized region (DS1) and the rear desynchronized region (DS2).With the increasing reduced velocity, the vibration amplitudes show a first-increase-then-decrease pattern as a whole, while with the increasing spacing ratio, the vibration amplitudes display a first-decrease-then-increase pattern.The maximum amplitude (A* = 1.11) is achieved at L* = 1.0 and Ur = 8.0.At L* = 1.0, 1.6 and 2.5, the vibration responses show the lock-in region where the vibration frequency locks onto the natural frequency of the cylinders, while at L* = 4.0, the vibration frequency of the cylinder increases linearly with the increasing reduced velocity, and no obvious lock-in occurs.Two comparable vibration components with different frequencies exist in the DS2 branch at L*=2.5, and they are the low-frequency galloping component and the high-frequency VIV component, and the lift frequencies of three cylinders are obviously different because of complex gap flow between cylinders.In the DS branch of L* = 1.6, the wake behind two downstream cylinders shows a wide-narrow pattern, which leads to the mean drag and mean and r.m.s.lift of two downstream cylinders are not identical.

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vortex-induced vibration / circular cylinder / rigidly coupled / immersed boundary method / triangular arrangement

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ZHANG Xiaona1,JI Chunning1,2,CHEN Weilin1,XU Dong1,2,ZHANG Zhimeng1. Vortex-induced vibration features and wake modes of three rigidly coupled circular cylinders in equilateral triangular arrangements[J]. Journal of Vibration and Shock, 2021, 40(12): 132-142

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