剪切来流下串列三圆柱横向振动响应机理研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (20) : 89-99.

论文

谭潇玲1,2，涂佳黄1，雷平1，梁经群1，邓旭辉1

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The influence mechanism of crossflow vibration response of three tandem cylinders in shear flow

TAN Xiaoling1,2，TU Jiahuang1，LEI Ping1，LIANG Jingqun1，DENG Xuhui1

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摘要

基于四步半隐式特征线分裂算子有限元方法，对低雷诺数工况下串列布置三圆柱体结构的单自由度流致振动问题进行了数值模拟，并重点分析了雷诺数、剪切率以及折减速度这三个关键参数对三圆柱体横流向动力响应、流体力、相位、频谱特性以及尾流模态的影响。计算结果表明，随雷诺数的增加，三圆柱体结构的最大振幅值增大，且超过共振区间后中下游两圆柱体振幅值在不同剪切率工况下的差异明显增大。不同雷诺数工况下，三圆柱体结构的振幅曲线随剪切率呈现出阶段性变化。雷诺数的增加对下游圆柱体升阻力系数最大值的影响较大，而剪切率对结构表面受力的影响则主要集中于共振区间以及大折减速度范围内的升力系数均方根值。随着雷诺数和剪切率的增加，中下游两圆柱体相位差发生转变以及“相位开关”后出现的“下凹段”所对应的范围明显扩大。另外，横流向位移PSD曲线中频率的阶数以及主频所对应的能量值变化较大。在流体速度差以及惯性作用的影响下，三圆柱体结构的尾流模态呈现出较大的不规则性。

Abstract

The single-degree-of-freedom flow-induced vibration of three elastically mounted circular cylinders subjected to the planar shear flow in tandem arrangement at low Reynolds numbers was numerically investigated by using a semi-implicit characteristics-based split (CBS) finite element algorithm.The influences of some key parameters, such as Reynolds number (Re), shear ratio (k), and reduced velocity (Ur) on the characteristics of transverse dynamic responses, hydrodynamic coefficients, phases, spectrums and wake modes of three circular cylinders with tandem arrangement were analyzed.The numerical results show that with the increasing of Re the maximum amplitudes of three cylinders increase and a great difference between the amplitude beyond the resonance regime of midstream and downstream cylinders under different shear ratios is observed.The vibration amplitude of three cylinders versus the shear ratio can be divided into several stages respectively under different Re.The maximum value of drag and life coefficients of the downstream cylinder are more sensitive to the increasing of Re, and the influence of k on the hydrodynamic coefficients of the midstream and downstream cylinders concentrates on the r.m.s.value of the lift coefficient in the resonance and greater reduced velocity regime.With the increasing of Re and k, the range of the phase switch and its subsequent recessed segment broadens obviously.Moreover, the order of the frequency in PSD of the lift coefficient and transverse displacement and the energy corresponding to the main frequency show a significant change.Affected by the incoming flow velocity difference and inertial effect, a large irregularity was observed in the wake modes of the three cylinders.

导出引用

谭潇玲，涂佳黄，雷平，梁经群，邓旭辉. 剪切来流下串列三圆柱横向振动响应机理研究[J]. 振动与冲击, 2021, 40(20): 89-99

TAN Xiaoling，TU Jiahuang，LEI Ping，LIANG Jingqun，DENG Xuhui. The influence mechanism of crossflow vibration response of three tandem cylinders in shear flow[J]. Journal of Vibration and Shock, 2021, 40(20): 89-99

参考文献

［1］KANG S.Uniform-shear flow over a circular cylinder at low Reynolds numbers［J］.Journal of Fluids and Structures, 2006,22(4): 541-555.

［2］SUMNER D, AKOSILE O.On uniform planar shear flow around a circular cylinder at subcritical Reynolds numbe［J］.Journal of Fluids and Structures, 2003,18: 441-454.

［3］王伟, 水庆象, 王大国, 等.线性剪切来流对方柱绕流特性影响的数值分析［J］.水利水电科学进展, 2017,37(1): 17-21.
WANG Wei, SHUI Qingxiang, WANG Daguo, et al.Numerical analysis of influences of linear shear flow on characteristics of flow past a square cylinder［J］.Advances in Science and Technology of Water Resources, 2017,37(1): 17-21.

［4］水庆象, 王大国, 徐兵, 等.线性剪切来流下串列双方柱绕流特性的数值模拟［J］.水科学进展, 2018,29(4): 543-550.
SHUI Qingxiang, WANG Daguo, XU Bing, et al.Numerical study of the characteristics of linear shear flow past two square cylinders in tandem arrangement［J］.Advances in Water Science, 2018,29(4): 543-550.

［5］GSELL S, BOURGUET R, BRAZA M.Vortex-induced vibrations of a cylinder in planar shear flow［J］.Journal of Fluid Mechanics, 2017,825: 353-384.

［6］ZHANG H, FAN B, CHEN Z, et al.An in-depth study on vortex-induced vibration of a circular cylinder with shear flow［J］.Computers and Fluids, 2014,100(100): 30-44.

［7］黄智勇, 崔维成, 黄小平.均匀平面剪切流作用下圆柱体的涡激振动［J］.哈尔滨工程大学学报, 2007,28(12): 1301-1306.
HUANG Zhiyong, CUI Weicheng, HUANG Xiaoping.Vortex-induced vibration of a cylinder in uniform planar shear flow［J］.Journal of Harbin Engineering University, 2007,28(12): 1301-1306.

［8］TU J, ZHOU D, BAO Y, et al.Flow-induced vibration on a circular cylinder in planar shear flow［J］.Computers and Fluids, 2014,105: 138-154.

［9］陈威霖, 及春宁, 许栋.小间距比下串列双圆柱涡激振动数值模拟研究: 振动响应和流体力［J］.振动与冲击, 2018,37(23): 261-269.
CHEN Weilin, JI Chunning, XU Dong.Numerical simulations for VIVs of two tandem cylinders with small spacing ratios: vibration responses and hydrodynamic forces［J］.Journal of Vibration and Shock, 2018,37(23): 261-269.

［10］陈威霖, 及春宁, 许栋.小间距比下串列双圆柱涡激振动数值模拟研究: 尾流和耦合机制［J］.振动与冲击, 2018,37(23): 278-285.
CHEN Weilin, JI Chunning, XU Dong.Numerical simulations for VIV of two tandem cylinders with small spacing ratios: wake flow and interaction mechanism［J］.Journal of Vibration and Shock, 2018,37(23): 278-285.

［11］HAIDER B, SOHN C.Effect of spacing on a pair of naturally oscillating circular cylinders in tandem arrangements employing IB-LB methods: Crossflow-induced vibrations［J］.International Journal of Mechanical Sciences, 2018,142/143: 74-85.

［12］GAO Y, ZHANG Y, ZHAO M, et al.Numerical investigation on two degree-of-freedom flow-induced vibration of three tandem cylinders［J］.Ocean Engineering, 2020,201: 107059.

［13］涂佳黄, 谭潇玲, 邓旭辉, 等.平面剪切来流作用下串列布置三圆柱流致运动特性研究［J］.力学学报, 2019,51(3): 787-802.
TU Jiahuang, TAN Xiaoling, DENG Xuhui, et al.Study of flow-induced motion characteristics of three tandem circular cylinders in planar shear flow［J］.Chinese Journal of Theoretical and Applied Mechanic, 2019,51(3): 787-802.

［14］TU J, ZHOU D, BAO Y, et al.Flow-induced vibrations of two circular cylinders in tandem with shear flow at low Reynolds number［J］.Journal of Fluids and Structures, 2015,59: 224-251.

［15］CHEN W, JI C, WILLIAMS J, et al.Vortex-induced vibrations of three tandem cylinders in laminar cross-flow: Vibration response and galloping mechanism［J］.Journal of Fluids and Structures, 2018,78: 215-238.

［16］PRASANTH T, MITTAL S.Flow-induced oscillation of two circular cylinders in tandem arrangement at low Re［J］.Journal of Fluids and Structures, 2009,25(6): 1029-1048.