文章采用基于OpenFOAM的自编程PimpleDyMFoam求解器，结合Mental提出的SST k-ω湍流模型，对质量比为2.6的弹性支撑双自由度圆柱涡激振动进行数值模拟研究。数值模拟采用匀加速匀减速和匀速三种初始条件。研究表明：在“数值水池”中圆柱涡激振动出现了迟滞现象，数值模拟的迟滞区间为〖6≤U〗_r≤6.8，并在约化速度为6和6.8时，通过升力与位移关系捕获了“相位切换”。匀加速与匀减速条件能捕获到超上端分支，而匀速条件缺失上端分支。在Ur=6.8时，匀加速方式得到最大振幅1.4D，而采用不考虑迟滞效应的匀速条件时，圆柱最大振幅仅为0.85D。三种速度形式均发现锁定现象，但是锁定区间不同。匀加速与匀减速成功模拟出2T模式，匀速只模拟出2P模式。通过对比分析迟滞区域内尾涡变化规律，对迟滞机理进行了阐述。同时发现，采用较小加速度的匀加速初始条件，其相位切换发生延迟现象。
Abstract
Numerical simulation for vortex-induced vibration (VIV) of a 2-DOF cylinder with mass ratio of 2.6 was conducted using the PimpleDyMFoam solver based on OpenFOAM and adopting the k- SST turbulent model proposed by Mental. Three initial conditions including constant acceleration, constant deceleration and constant speed were employed in simulation. The results showed that the hysteretic phenomenon appears in VIV of the cylinder in a "numerical water pool", the hysteretic interval is 〖6≤U〗_r≤6.8; when Ur is 6 or 6.8, the phase switching phenomenon is captured through the relation between lift and displacement; constant acceleration and constant deceleration conditions can capture the super-upper branch, while constant speed condition misses the upper branch; when Ur = 6.8, the constant acceleration condition can get the maximum amplitude 1.4D; when adopting constant speed condition without hysteretic effect, the maximum vibration amplitude of the cylinder is only 0.85D; three initial conditions all lead to locking phenomenon, but their locking intervals are different; with constant acceleration and constant deceleration conditions, 2T mode is successfully simulated; with constant speed condition, only 2P mode is simulated; through analyzing contrastively wakes’ varying law in hysteretic region, the hysteresis mechanism is presented; when adopting constant acceleration initial condition with a smaller acceleration, the phase switching is delayed.
关键词
涡激振动 /
初始条件 /
迟滞现象 /
相位切换
{{custom_keyword}} /
Key words
vortex-induced vibration (VIV) /
initial condition /
hysteresis /
phase switch
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 白治宁, 肖龙飞, 程正顺,等. 深吃水半潜式平台涡激运动响应模型实验研究[J]. 船舶力学, 2014(4):377-384.
Bai Z N, Xiao L F, Cheng Z S, et al. Experimental study on Vortex Induced Motion response of a Deep Draft Semi-submersible platform[J]. 2014.
[2] 曹淑刚, 黄维平, 顾恩凯. 考虑流固耦合的弹性圆柱体涡激振动研究[J]. 振动与冲击, 2015, 34(1): 58-62.
Cao S G, Huang W P, En-Kai G U. Vortex-induced vibration of an elastic cylinder considering fluid-structure interaction[J]. Zhendong Yu Chongji/journal of Vibration & Shock, 2015, 34(1):58-62.
[3] 黄维平, 刘娟, 唐世振. 考虑流固耦合的大柔性圆柱体涡激振动非线性时域模型[J]. 振动与冲击, 2012, 31(9):140-143.
Huang W P, Liu J, Tang S Z. Nonlinear model of vortex induced vibration of flexible cylinder in consideration of fluid-structure interaction[J]. Journal of Vibration & Shock, 2012, 31(9):140-143.
[4] 范杰利, 黄维平. 细长立管两向自由度涡激振动数值研究[J]. 振动与冲击, 2012, 31(24):65-68.
Fan J L, Huang W P. Numerical simulation of 2-DOF vortex-induced vibration of a long riser[J]. Zhendong Yu Chongji/journal of Vibration & Shock, 2012, 31(24):65-47.
[5] N. The effect of two degrees of freedom on vortex-induced vibration at low mass and damping[J]. Journal of Fluid Mechanics, 2004, 509(509):23-62.
[6] 谷家扬, 杨建民, 肖龙飞. 两种典型立柱截面涡激运动的分析研究[J]. 船舶力学, 2014, 18(10): 1184-1194.
Gu J Y, Yang J M, Xiao L F. Study on vortex induced motion of two typical different cross-section columns[J]. Chuan Bo LI Xue/journal of Ship Mechanics, 2014, 18(10):1184-1194.
[7] Guilmineau E, Queutey P. Numerical simulation of vortex-induced vibration of a circular cylinder with low mass-damping in a turbulent flow[J]. Journal of fluids and structures, 2004, 19(4): 449-466.
[8] 陈威霖, 及春宁, 徐万海. 并列双圆柱流致振动的不对称振动和对称性迟滞研究[J]. 力学学报, 2015, 47(5): 731-739.
Chen W, Ji C, Xu W. NUMERICAL INVESTIGATION ON THE ASYMMETRIC VIBRATION AND SYMMETRY HYSTERESIS OF FLOW-INDUCED VIBRATION OF TWO SIDE-BY-SIDE CYLINDERS[J]. Lixue Xuebao/chinese Journal of Theoretical & Applied Mechanics, 2015, 47(5):731-739.
[9] Kim S, Wilson P A, Chen Z M. Numerical simulation of force and wake mode of an oscillating cylinder[J]. Journal of Fluids & Structures, 2014, 44(7):216-225.
[10] Kim S, Wilson P A, Chen Z M. Numerical simulation of force and wake mode of an oscillating cylinder[J]. Journal of Fluids & Structures, 2014, 44(7):216-225.
[11] M Minguez，A Luppi，A Berger. Slender Buoy FSHR Vortex Induced Rotations[A].Proceedings of the ASME 31th International Conference on Ocean, Offshore and Arctic Engineering, 2012, Rio de Janeiro, Brazil, OMAE2012-83406.
[12] Chen W, Ji C, Xu W, et al. Response and wake patterns of two side-by-side elastically supported circular cylinders in uniform laminar cross-flow[J]. Journal of Fluids & Structures, 2015, 55:218-236.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(3140 KB)
