Mechanism analysis of the effect of wake vortex on cylinder vibration in flow induced motion

Dahai Zhang, Hao Yang, Shuai Zhang
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Abstract

Unsteady Reynolds averaged Navier-Stokes (RANS) method combined with Spalart-Allmaras turbulence model and dynamic mesh technology were used to investigate the impact of wake vortex on the vibration response of a cylinder. By analyzing the phase difference between the wake vortex force and the displacement under different mass parameters in flow-induced vibration (FIV), the study reveals that the influence of wake vortex on the cylinder varies significantly in different vibration branches. The wake vortex of the initial branch enhances the cylinder's vibration, whereas the wake vortices of the upper, lower, and desynchronized branches suppress the vibration. At the critical point between the initial branch and the upper branch of vortex induced vibration (VIV), there is a 90° phase jump, and the instantaneous phase difference fluctuation between the wake vortex force and displacement of the VIV branch remains relatively constant. In the galloping branch, there are wake vortices in different directions that affect the cylinder's vibration every quarter of the vibration period, and the phase difference undergoes periodic large fluctuations (either in-phase or out-of-phase), with the result that the wake vortex force periodically promotes or restrain the cylinder's vibration, which can serve as a novel criterion for identifying the occurrence of galloping. Furthermore, when varying the mass parameters at a constant reduced velocity, the impact of the wake vortex in the initial branch is relatively insignificant. However, as the mass ratio increases in other vibration branches, the suppressive effect increases, and the wake vortex force can prevent VIV induced galloping phenomenon by affecting the vibration intensity.
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涡流对气缸振动的影响机理分析
采用非稳态雷诺平均纳维-斯托克斯(RANS)方法,结合 Spalart-Allmaras 湍流模型和动态网格技术,研究了唤醒涡对圆柱体振动响应的影响。通过分析流致振动(FIV)中不同质量参数下的唤醒旋涡力与位移之间的相位差,研究发现在不同的振动分支中,唤醒旋涡对圆柱体的影响存在显著差异。初始分支的唤醒涡增强了气缸的振动,而上分支、下分支和非同步分支的唤醒涡则抑制了振动。在涡流诱导振动(VIV)的初始分支和上分支之间的临界点,存在一个 90° 的相位跃迁,而 VIV 分支的唤醒涡流力和位移之间的瞬时相位差波动保持相对恒定。在奔腾分支中,每隔四分之一个振动周期就有不同方向的唤醒涡影响圆柱体的振动,相位差发生周期性的大幅波动(同相或异相),其结果是唤醒涡力周期性地促进或抑制圆柱体的振动,这可以作为识别奔腾发生的新标准。此外,当质量参数以恒定的降低速度变化时,唤醒涡流在初始分支中的影响相对较小。然而,随着质量比的增大,其他振动分支的抑制作用也会增大,唤醒涡流力可以通过影响振动强度来防止 VIV 引起的奔腾现象。
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