完全湍流剪切层对圆柱涡激振动特性的影响
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摘要
为研究完全湍流剪切层(2×10~4~4×10~4 To study the dynamic response of vortex-induced vibration under different α in TrSL3( Transition of shear layer,2×10~4-4×10~4< Re < 1×10~5-2×10~5),the finite-volume method is used to resolve the turbulence model of the Reynolds-averaged Navier-Stokes equation and the Spalart-Allmaras equation on the basis of OpenFOAM together with the Van Der Pol second-order equation describing the two-dimensional vortex-induced vibration of cylinder. The oscillating amplitude,frequencies and the vortex shedding structures are analyzed in detail. The initial,upper and lower branches of the synchronization phenomenon in vortex-induced vibration are captured. The results show that,the amplitude in present work is higher than that in TrSL2 and modified Griffin plot when evaluate Reynolds number under the same reduced velocity. Reynolds number plays a key role in elevating the oscillating amplitude and the synchronization range under TrSL3. The vortex-induced vibration misses upper branch and enter into the lower branch directly from initial branch in the case of high mass-damping ratio( α ≥ 0. 38),phase step occurs in oscillating frequency.
引文
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[2]关德宝,黄维平,宋虹.串列圆柱体尾流和尾涡耦合振动试验研究[J].振动与冲击,2014,33(22):26-29.DOI:10.13465/j.cnki.jvs.2014.22.005.GUAN Debao,HUANG Weiping,SONG Hong.Experimental investigation of wake flow and wave-vortex coupling induced vibration of two tandem and cylinders[J].Journal of vibration and shock,2014,33(22):26-29.DOI:10.13465/j.cnki.jvs.2014.22.005.
[3]唐友刚,樊娟娟,张杰.高雷诺数下圆柱顺流向和横向涡激振动分析[J].振动与冲击,2013,32(13):88-92.DOI:10.13465/j.cnki.jvs.2013.13.012.TANG Yougang,FAN Juanjuan,ZHANG Jie.Analysis of in line and transverse vortex-induced vibration for a circular cylinder at high reynolds number[J].Journal of vibration and shock,2013,32(13):88-92.DOI:10.13465/j.cnki.jvs.2013.13.012.
[4]ANAGNOSTOPOULOS P,BEARMAN P W.Response characteristics of a vortex-excited cylinder at low Reynolds numbers[J].Journal of Fluids and Structures,1992,6(1):39-50.DOI:10.1016/0889-9746(92)90054-7.
[5]FENG C C.The measurement of vortex-induced effects in flow past stationary and oscillating circular and d-section cylinders[D].Vancouver:University of British Columbia,1968.DOI:10.14288/1.0104049.
[6]DAI H L,ABDELKEFI A,WANG L.Piezoelectric energy harvesting from concurrent vortex-induced vibrations and base excitations[J].Nonlinear Dynamics,2014,77(3):967-981.DOI:10.1007/s11071-014-1355-8.
[7]MICHELIN S,DOARéD.Energy harvesting efficiency of piezoelectric flags in axial flows[J].Journal of Fluid Mechanics,2013,714(1):489-504.DOI:10.1017/jfm.2012.494.
[8]罗竹梅,张立翔.影响从涡激振动中获取能量的参数研究[J].振动与冲击,2014,33(9):12-15.DOI:10.13465/j.cnki.jvs.2014.09.003.LUO Zhumei,ZHANG Lixiang.The influence of parameters on harvesting energy from vortex-induced vibration[J].Journal of vibration and shock,2014,33(9):12-15.DOI:10.13465/j.cnki.jvs.2014.09.003.
[9]GAO X T,WEI H S,WAN Y S.Flow energy harvesting using piezoelectric cantilevers with cylindrical extension[J].IEEE Transactions on Industrial Electronics,2013,60(3):1116-1118.DOI:10.1109/TIE.2012.2187413.
[10]ZDRAVKOVICH M M.Flow around circular cylinders:Volume 1[M].[S.L.]:Oxford Science Publications,1997:37-44.
[11]GOVARDHAN R,WILLIAMSON C H K.Modes of vortex formation and frequency response of a freely vibrating cylinder[J].Journal of Fluid Mechanics,2000,420:85-130.DOI:https://doi.org/10.1017/S0022112000001233.
[12]GOVARDHAN R N,WILLIAMSON C H K.Defining the'modified Griffin plot’in vortex-induced vibration:revealing the effect of Reynolds number using controlled damping[J].Journal of Fluid Mechanics,2006,561(9):147-180.DOI:https://doi.org/10.1017/S0022112006000310.
[13]KHALAK A,WILLIAMSON C H K.Motions,forces and mode transitions in vortex-induced vibrations at low mass-damping[J].Journal of Fluids and Structures,1999,13(7/8):813-851.DOI:10.1006/jfls.1999.0236.
[14]VIKESTAD K,VANDIVER J K,LARSEN C M.Added mass and oscillation frequency for a circular cylinder subjected to vortex-induced vibrations and external disturbance[J].Journal of Fluids and Structures,2000,14(7):1071-1088.DOI:10.1006/jfls.2000.0308.
[15]XU J,SPENCER D,GARDNER A.Wake fields behind risers undergoing vortex-induced vibration[C]//ASME International Conference on Offshore Mechanics&Arctic Engineering.[S.l.]:ASME,2008:539-546.DOI:10.1115/OMAE2008-57068.
[16]LEE J H,BERNITSAS M M.High-damping,high-Reynolds VIV tests for energy harnessing using the VIVACE converter[J].Ocean Engineering,2011,38(16):1697-1712.DOI:10.1016/j.oceaneng.2011.06.007.
[17]GRIFFIN O M,VANDIVER J K.Vortex-induced strumming vibrations of marine cables with attached masses[J].Journal of Energy Resources Technology-Transactions of the Asme,1984,106(4):458-465.DOI:10.1115/1.3231106.
[18]SARPKAYA T.Hydrodynamic damping and quasi-coherent structures at large Stokes numbers[J].Journal of Fluids and Structures,2001,15(7):909-928.DOI:10.1006/jfls.2001.0384.
[19]DING L,BERNITSAS M M,KIM E S.2-D URANS vs.experiments of flow induced motions of two circular cylinders in tandem with passive turbulence control for 30 000≤Re≤105 000[J].Ocean Engineering,2013,(72):429-440.DOI:10.1016/j.oceaneng.2013.06.005.
[20]王军雷,冉景煜,张智恩,等.外界载荷对圆柱涡激振动能量转换的影响[J].浙江大学学报(工学版),2015,49(6):1093-1100.DOI:10.3785/j.issn.1008-973X.2015.06.013.WANG Junlei,RAN Jingyu,ZHANG Zhien.Effects of external load on energy conversion of vortex-induced vibrating cylinder[J].Journal of Zhejiang University(Engineering Science),2015,49(6):1093-1100.DOI:10.3785/j.issn.1008-973X.2015.06.013.
[21]WILLIAMSON C H K,ROSHKO A.Vortex formation in the wake of an oscillating cylinder[J].Journal of fluids and structures,1988,2(4):355-381.DOI:10.1016/S0889-9746(88)90058-8.