质量比对近壁面两向自由度圆柱涡激振动的影响

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (12) : 267-274.

论文

刘旭菲1，陈威霖2，及春宁2

作者信息 +

Effects of mass ratio on vortex-induced vibrations of a two degree-of-freedom near-wall cylinder

LIU Xufei1, CHEN Weilin2, JI Chunning2

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文章历史 +

摘要

本文系统地考察质量比对两向自由度近壁面圆柱涡激振动的影响。圆柱的质量比为m* = 2、10和20，间隙比、雷诺数和折合流速分别为G/D = 0.6、Re = 100和Ur = 3-12。为使圆柱获得更大的振幅，将系统阻尼比设为零。研究发现，随质量比的增加，圆柱的振动开始于更高的折合流速，且振幅更小一些。由于受到壁面边界层的影响，圆柱运动轨迹为雨滴型，但当m* ≥ 10且折合流速较小时，运动轨迹呈现为类8字型。对尾流模式来说，当振幅较小时，均为1S模式；而振幅较大时，为C+S模式或2S模式；迟滞发生后，m* = 2工况为1S模式，而m* ≥ 10工况为稳定尾流。此外还发现，圆柱涡激振动的迟滞现象与壁面边界层重复着的双稳态性有关。增折合流速时，壁面边界层周期性地重复着于圆柱上表面，对圆柱上侧剪切层的发展起到了显著的促进作用，从而激励了更大的振幅；而减折合流速时，壁面边界层从圆柱下侧通过，抑制了下侧剪切层发展。

Abstract

This paper numerically investigated the effects of mass ratio on vortex-induced vibrations (VIV) of a two degree-of-freedom cylinder adjacent to a flat wall. The mass ratio is m* = 2, 10 and 20, the gap ratio is G/D = 0.6, the Reynolds number is Re = 100, and the reduced velocity is Ur = 3-12. In order to excite large amplitudes of VIV, the structural damping ratio is set as zero. It is found that, with the increasing mass ratio, the VIV of the near-wall cylinder is excited at a higher Ur with a smaller maximum vibration amplitude. Owing to the influences of the boundary layer, the vibration shows droplet-like orbits in most of the cases. However, when m* ≥ 10 and Ur is small, the vibration shows figure-of-eight trajectories. Moreover, for small vibration amplitude cases, the wake pattern show the 1S mode, but displays the C+S and 2S modes when the amplitude is large. Beyond hysteresis, the wake pattern is in the 1S mode for m* = 2 while in the steady mode for m* ≥ 10. It is further found that hysteresis in the vibration responses of the near-wall cylinder corelates with the bi-stability of the boundary layer reattachment on the cylinder surface. In the increasing-Ur cases, the boundary layer periodically reattaches on the upper surface of the cylinder, which excites larger amplitude vibration responses owing to the enhanced upper-side shear layer. However, in the decreasing-Ur cases, the boundary layer pass through the gap between the cylinder and the wall, and thus the lower-side shear layer and the vibration responses are suppressed.

关键词

涡激振动 / 圆柱 / 两自由度 / 近壁面 / 质量比

Key words

vortex-induced vibration

/ circular cylinder / two degree-of-freedom / near-wall / mass ratio

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导出引用

刘旭菲1，陈威霖2，及春宁2. 质量比对近壁面两向自由度圆柱涡激振动的影响[J]. 振动与冲击, 2022, 41(12): 267-274

LIU Xufei1, CHEN Weilin2, JI Chunning2. Effects of mass ratio on vortex-induced vibrations of a two degree-of-freedom near-wall cylinder[J]. Journal of Vibration and Shock, 2022, 41(12): 267-274

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