海洋柔性结构涡激振动的流固耦合机理和响应
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  • 英文篇名:Fluid-solid coupling and dynamic response of vortex-induced vibration of slender ocean cylinders
  • 作者:陈伟民 ; 付一钦 ; 郭双喜 ; 姜春晖
  • 英文作者:CHEN Weimin;FU Yiqin;GUO Shuangxi;JIANG Chunhui;Institute of Mechanics, Chinese Academy of Sciences;School of Engineering Science, University of Chinese Academy of Sciences;
  • 关键词:涡激振动 ; 流固耦合 ; 深水立管 ; 振动与波
  • 英文关键词:vortex-induced vibration;;interaction between solid and fluid;;deep-water riser;;vibration and wave
  • 中文刊名:LXJZ
  • 英文刊名:Advances in Mechanics
  • 机构:中国科学院力学研究所流固耦合系统力学重点实验室;中国科学院大学工程科学学院;
  • 出版日期:2016-09-18 09:49
  • 出版单位:力学进展
  • 年:2017
  • 期:v.47;No.192
  • 基金:国家自然科学基金项目(11232012,11372320)资助
  • 语种:中文;
  • 页:LXJZ201700002
  • 页数:67
  • CN:00
  • ISSN:11-1774/O3
  • 分类号:29-95
摘要
对近几十年来国内外在涡激振动的基础研究包括机理认识和动响应分析等方面的进展进行了论述,尤其针对海洋油气平台中的立管、隔水管等细长柔性结构的涡激振动.描述了涡激振动这种典型的非线性流固耦合现象所具有的特征,包括自激、自限制、展向相关、尾迹水动力与结构动力的流固耦合等及其主要影响参数.介绍了目前常用的结构响应预测方法和相关实验.通过讨论当前理论研究和实际工程中的热点问题,诸如多模态宽带振动、浮体运动与水下立管的耦合、响应抑制措施、双向振动、高雷诺数下的大尺度物理实验等,对今后该领域的研究方向进行了力所能及的展望.
        We review some recent developments on the mechanism and response analysis of vortex-induced vibration(VIV) of flexible cylinders, particularly the slender risers in deep water. Main characters of VIV, such as self-excitation, self-limitation, span coherence and fluid-solid coupling, along with principal influence factors are presented. Various prediction approaches, including empirical and numerical ones, and experiments are introduced. Then we give perspectives on some challenging issues, e.g., multi-mode and wide-band VIV, dynamic interaction between top-end motion and submarine riser, VIV suppression, CF(cross flow) and IL(in line) motion and large scale experiment at high Reynolds number.
引文
毕勤胜,陈章耀,朱玉萍,邹勇.2003.参数激励耦合系统的复杂动力学行为分析.力学学报,35:123-127(Bi Q S,Chen Z Y,Zhu Y P,Zou Y.2003.Dynamical analysis of coupled oscillators with parametrical excitation.Acta Mechanica Sinica,35:123-127).
    陈伟民,张立武,李敏.2010.采用改进尾流振子模型的柔性海洋立管的涡激振动响应分析.工程力学,27:240-246(Chen W M,Zhang L W,Li M.2010.Prediction of vortex-induced vibration of flexible riser using improved wake-oscillator model.Engineering Mechanics,27:240-246).
    陈伟民,郑仲钦,张立武,李敏.2011.内波波致剪切流作用下深海立管的涡激振动.工程力学,28:250-256(Chen W M,Zheng Z Q,Zhang L W,Li M.2011.Vortex-induced vibration of deep water flexible risers experiencing internal-wave-induced shear flow.Engineering Mechanics,28:250-256).
    陈伟民,郑仲钦,郭双喜.2014.浮式平台的横荡运动对水下柔性立管涡激振动的影响.海洋工程,32:8-13(Chen W M,Zheng Z Q,Guo S X.2014.Impact of floating top sway on the vortex-induced vibration of submarine riser.The Ocean Engineering,32:8-13).
    段梦兰,胡知辉,曹静,赵天奉,房军.2011.深水钢悬链线立管触地区疲劳实验系统设计.力学与实践,33:15-19(Duan M L,Hu Z H,Cao J,Zhao T F,Fang J.2011.The design of fatigue experimental system for steel catenary riser in touchdown zone.Mechanics in Engineering,33:15-19).
    付强.2004.海洋输液立管动力特性及涡激振动响应理论研究.[硕士论文].青岛:中国海洋大学(Fu Q.2004.Study on the dynamic characteristics and responses of vortex-induced vibration of marine risers conveying fluid.[Master Thesis],Qingdao:Ocean University of China).
    葛斐,惠磊,洪友士.2007.水中悬浮隧道锚索在剪切流中的涡激响应.中国科学院研究生院学报,24:352-356(Gei F,Hui L,Hong Y S.2007.vortex-induced vibration of submarine floating tunnel undergoing shear flow.Journal of University of Chinese Academy of Sciences,24:352-356).
    谷家扬,吕海宁,杨建民.2012.随机波浪中张力腿平台耦合运动及系泊系统特性研究.海洋工程,30:42-48(Gu J Y,Lu H N,Yang J M.2012.Studies on coupling dynamic response and characteristics mooring system of TLP in stochastic waves.The Ocean Engineering,30:42-48).
    谷斐.2012.隔水管涡激振动抑制装置的流动控制实验研究.[博士论文].上海:上海交通大学(Gu F.2012.Experimental study on flow control of risers with vortex induced vibration suppression devices attached.[PhD Thesis].Shanghai:Shanghai Jiao Tong University).
    郭双喜.2015.考虑结构耦合的浮式风机整体系统动响应分析.[硕士论文].北京:中国科学院力学研究所(Guo S X.2015.Analysis on dynamic response of floating wind turbine considering coupling between elastic components.[Master Thesis].Beijing:Institute of Mechanics,Chinese Academy of Sciences).
    郭海燕,付强,娄敏.2005.海洋输液立管涡激振动响应及其疲劳寿命研究.工程力学,22:220-224(Guo H Y,Fu Q,L M.2005.Vortex-induced vibrations and fatigue life of marine risers conveying flowing fluid.Engineering Mechanics,22:220-224).
    黄智勇,潘志远,崔维成.2007.两向自由度低质量比圆柱体涡激振动的数值计算.船舶力学,11:1-9(Huang Z Y,Pan Z Y,Cui W C.2007.Numerical simulation of VIV of a circular cylinder with two degrees of freedom and low mass-ratio.Journal of Ship Mechanics,11:1-9).
    菅永军,鄂学全,柏威.2003.参数激励圆柱形容器中的非线性Faraday波.应用数学和力学,24:60-66(Jian Y J,E X Q,Bai W.2003.Nonlinear Faraday waves in a parametrically excited circular cylindeical container.Applied MAthmatics and Mechanics,24:60-66).
    雷松,张文首,赵岩,岳前进.2010.FDPSO立管涡激振动响应分析.工程力学,27:294-298(Lei S,Zhang W S,Zhao Y,Yue Q J.2010.Influence of heave motion on vortex-induced vibrations of FDPSO risers.Engineering Mechanics,27:294-298).
    李曼.2013.立管涡激振动模型试验中的尺度效应问题研究.[硕士论文].上海:上海交通大学(Li M.2013.An investigation of scale effects in the vortex-induced vibration model test of risers.[Master Thesis].Shanghai:Shanghai Jiao Tong University).
    潘志远,崔维成,刘应中.2005.低质量-阻尼因子圆柱体的涡激振动预报模型.船舶力学,9:115-124(Pan Z Y,Cui W C,Liu Y Z.2005.A predicting model for self-excited VIV of a circular cylinder at low mass-dam ping.Journal of Ship Mechanics,9:115-124).
    秦伟.2013.双自由度涡激振动的涡强尾流振子模型研究.[博士论文].哈尔滨:哈尔滨工程大学(Qin W.2013.Study on vortex induced vibration in two degrees of freedom using vortex strength wake oscillator.[PhD Thesis].Harbin:Harbin Engineering University).
    邵传平,陈野军,王赛,秦广素.2014.流向振荡柱体尾流控制研究进展.力学进展,44:188-235(Shao C P,Chen Y J,Wang S,Qin G S.2014.Advances in the control of wakes behind an in-line oscillating cylinder.Advances in Mechanics,44:201405).
    唐国强,吕林,滕斌,谢彬,宋吉林,张建侨,吴浩.2001.大长细比柔性杆件涡激振动实验.海洋工程,29:18-25(Tang G Q,Lii L,Teng B,Xie B,Song J L,Zhang J Q,Wu H.2001.Laboratory measurement of vortex-induced vibration of long flexible riser.The Ocean Engineering,29:18-25).
    唐驾时,贺新柱.2001.参数振动系统的共振分析.岳阳师范学院学报(自然科学版),14:34-40(Tang J S,He X Z.2001.Response analysis of parametrically excited system.Journal of Yueyang Normal University(Natural Science),14:34-40).
    唐友刚,邵卫东,张杰,王丽元,桂龙.2013.深海顶张力立管参激-涡激耦合振动响应分析,工程力学,30:282-286(Tang Y G,Shao W D,Zhang J,Wang L Y,Gui L.2013.Dynamic response analysis for coupled parametric vibration and vortex-induced vibration of top-tensioned riser in deep-sea.Engineering Mechanics,30:282-286).
    王东耀,凌国灿.1998.在平台振荡条件下TLP张力腿的涡激非线性响应.海洋学报,20:119-128(Wang D Y,Ling G C.1998.Vortex-induced nonlinear vibration of TLP tethers under circumstances of platform oscillation.Acta Oceanologica Sinica,20:119-128).
    王成官,王嘉松,田中旭,乔信起,蒋世全,许亮斌.2011.海洋隔水管涡激振动的三维数值模拟研究.水动力学研究与进展,26:437-443.(Wang C G,Wang J S,Tian Z X,Qiao X Q,Jiang S Q,Xu L B.2011.Three dimensional numerical simulation of vivon marine riser.Chinese Journal of Hydrodynamics,26:437-443).
    王沣浩,姜东歌,罗昔联,梅雪松.2006.波状圆柱绕流减阻的实验研究.西安交通大学学报,40:93-96(Wang F H,Jiang G D,Luo X L,Mei X S.2006.Experimental investigation on drag reduction of wavy cylinder in cross flow.Journal of Xi'an Jiaotong University,40:93-96).
    王艺.2010.均匀来流条件下的圆柱涡激振动研究.[博士论文].北京:中科院力学研究所(Wang Y.2010.Study on vortex-induced vibration of a circular cylinder subjected to steady uniform flow.[PhD Thesis].Beijing:Institute of Mechanics,Chinese Academy of Sciences).
    肖飞,杨和振.2014.深海钢悬链立管hill不稳定性预测.上海交通大学学报,48:583-588(Xiao F,Yang H Z.2014.Hill stability prediction of deep-sea steel catenary riser.Journal of Shanghai Jiao Tong University,48:583-588).
    徐万海,曾晓辉,吴应湘,2009,深水张力腿平台与系泊系统的耦合动力响应.振动与冲击,28:145-150(Xu W H,Zeng X H,Wu Y X.2009.The coupled dynamic responses of the tension leg platform and tendon in deep-water.Journal of Vibration and Shock,28:145-150).
    余建星,许华力,袁从敏,王衷畅.2008.张力腿系缆系统涡激振动疲劳可靠性分析.船舶力学,12:592-598(Yu J X,Xu H L,Yuan C M,Wang Z C.2008.Fatigue reliability analysis of vortex induced vibration of TLP tethers in waves and current.Journal of Ship Mechanics,12:592-598).
    张杰,唐友刚,黄磊,李伟.2013.参数激励下深海立管多模态耦合振动特性分析.振动与冲击,32:51-56(Zhang J,Tang Y G,Huang L,Li W.2013.Multi-mode coupled vibration behavior of a deep-water riser under parametric excitations.Journal of Vibration and Shock,32:51-56).
    张立武.2010.深海柔性立管涡激振动响应研究.[硕士论文].北京:中国科学院力学研究所(Zhang L W.2010.Vortex-induced vibration of long flexible risers in deep water.[Master Thesis].Beijing:Institute of Mechanics,Chinese Academy of Sciences).
    张晓欣.2007.美国科学基金委蓝带工作组报告:基于仿真的工程科学.高性能计算发展与应用,18:4-12(Zhang X X.2007.Ribbon panel report on simulation-based engineering science by NFS blue.Development and Application of High Performance Computing,18:4-12).
    赵丽刚.2006.高温高压条件下海燕立管的动态极值响应研究.[硕士论文].哈尔滨:哈尔滨工程大学(Zhao L G.2006.Dynamic extremum response to high temperature and pressure for a riser.[Master Thesis].Harbin:Harbin Engineering University).
    郑哲敏.1958.输水管的振动问题.力学学报,2:100-111(Zheng Z M.1958.Vibration of pipe line.Acta Mechanica Sinica,2:100-111).
    郑仲钦.2012a.平台运动对水下柔性立管动响应的影响分析.[硕士论文].北京:中国科学院力学研究所(Zheng Z Q.2012.Analysis of the influence of platform motion on the dynamic response of marine flexible riser.[Master Thesis].Beijing:Institute of Mechanics,Chinese Academy of Sciences).
    郑仲钦,陈伟民.2012b.结构与尾流非线性涡激振动预测模型.海洋工程,30:37-41(Zheng Z Q,Chen W M.2012.Prediction of vortex-induced vibration of cylinder based on the nonlinear coupling of structure and wake oscillator.The Ocean Engineering,30:37-41).
    Aiten J.1978.An account of some experiment on rigidity produced by cent force.Philosophical Magazine,5:81-105.
    Alexander C M.1981.The complex vibrations and implied drag of a long oceanographic wire in cross-flow.Ocean Engineering,8:379-406.
    Allen D W,Henning D L.2001.Ultra short fairings for suppressing vortex-induced vibration.US6223672B1.
    Arcandra T,Kim M H.2003.Hull/mooring/riser coupled dynamic analysis and sensitivity study of a tanker-based FPSO.Applied Ocean Research,25:367-382.
    Atsavapranee P,Benaroya H,Wei T.1998.Vortex dynamics in the near wake of a freely-oscillating cylinder//The FEDSM'98 ASME Fluids Engineering Division,Summer Meeting,Washington DC,1-6.
    Baarholm G S,Larsen C M,Lie H.2005.Reduction of VIV using suppression devices-An empirical approach.Marine Structures,18:489-510.
    Baarholm G S,Larsen C M,Lie H.2006.On fatigue damage accumulation from in-line and cross-flow vortex-induced vibrations on risers.Journal of Fluids and Structures,22:109-127.
    Baarholm R,Kristiansen T,Lie H.2007.Interaction and clashing between bare or straked risers,analyses of experimental dada//The 26th International Conference on Offshore Mechanics and Arctic Engineering,June 10-15 San Diego,CA,US,803-812.
    Balasubramanian S,Skop R A.1996.A nonlinear oscillator model for vortex shedding from cylinders and cones in uniform and shear flows.Journal of Fluids and Structures,10:197-214.
    Beaudan P,Moin P.1994.Numerical experiments on the flow past a circular cylinder at sub-critical Reynolds number.USA:Department of Mechanical Engineering,Stanford University,Report TF-62.
    Berger E,Wille R.1972.Periodic flow phenomena.Annual Reviews of Fluid Mechanics,4:313-340.
    Birkoff G,Zarantanello E H.1957.Jets,Wakes and Cavities.New York:Academic Press.
    Bishop R E D,Hassan A Y.1964.The lift and drag forces on a circular cylinder oscillating in a flowing fluid.Mathematical Physical&Engineering Sciences,277:51-75.
    Blackburn H M,Henderson R D.1999.A study of two-dimensional flow past an oscillating cylinder.Journal of Fluid Mechanics,385:255-286.
    Blackburn H M,Govardhan R N,Williamson C H K.2001.A complementary numerical and physical investigation of vortex-induced vibration.Journal of Fluids and Structures,15:481-488.
    Blevins R D.1987.Flow Induced Vibration.Van Nostrand Reinhold Company.
    Bosman R L M,Hooker J.1999.Elastic modulus characteristics of polyester mooring ropes//The Annual Offshore Technology Conference.1246-1251.
    Breuer M.1998.Numerical and modeling influences on large eddy simulations for the flow past a circular cylinder.International Journal of Heat and Fluid Flow,19:512-521.
    Brika D,Laneville A.1993.Vortex-induced vibrations of a long flexible circular cylinder.Journal of Fluid Mechanics,250:481-508.
    Brika D,Laneville A.1995.An experimental study of the aeolian vibrations of a flexible circular cylinder at different incidences.J.Fluids Struct,9:371-391.
    Carberry J,Govardhan R,Sheridan J,Rockwell D,Williamson C H K.2004.Wake states and response branches of forced and freely oscillating cylinders.European Journal of Mechanics-B/Fluids,23:89-97.
    Carberry J,Sheridan J,Rockwell D.2005.Controlled oscillations of a cylinder:forces and wake modes.Journal of Fluid Mechanics,538:31-69.
    Carl M L,Karl H H.1997.Comparison of models for vortex induced vibrations of slender marine structures.Marine Structure,10:413-441.
    Carriere P,Eichelbrenner E A.1961.Theory of flow reattachment by a tangential jet discharging against a strong adverse pressure gradient//Lachmann GV,ed.Boundary Layer and Flow Control,I:London:Pergamon Press.
    Chandrasekaran S,Chandak N R,Anupam G.2006.Stability analysis of TLP tethers.Ocean Engineering,33:471-482.
    Chang P K.1976.Control of Flow Separation.Washington DC:Hemisphere Publication Corporation.
    Chaplin J R,Bearman P W,Huera Huarte F J,Pattenden R J.2005a.Laboratory measurements of vortexinduced vibrations of a vertical tension riser in a stepped current.Journal of Fluids and Structures,21:3-24.
    Chaplin J R,Bearman P W,Cheng Y,Fontaine E,Graham J M R,Herfjord M,Isherwood M,Lambrakos K,Larsen C M,Meneghini J R,Moe G,Triantafyllou MS,Willden R H J.2005b.Blind predictions of laboratory measurements of vortex-induced vibrations of a tension riser.Journal of Fluids and Structures,21:25-40.
    Chatjigeorgiou I K.2004.On the parametric excitation of vertical elastic slender structures and the effect of damping in marine applications.Applied Ocean Research,26:23-33.
    Chen S S.1971.Dynamics stability of tube conveying fluid:Proceedings of the American society of civil engineers.Journal of the Engineering Mechanics Division,97:1469-1485.
    Chen W M,Li M,Zheng Z Q,Guo S X,Kuan Gan K.2015.Impacts of top-end vessel sway on vortexinduced vibration of the submarine riser for a floating platform in deep water.Ocean Engineering,99:1-8.
    Chen W M,Li M,Zhang L W,Tan T C.2016.Study on Multi-mode VIV of deep water riser in different flow fields by finite element simulations.J.of Offshore Mechanics and Arctic Engineering,138:1-8.
    Chen W M,Li M,Guo S X,Gan K.2014.Dynamic analysis of coupling between floating top-end heave and riser's vortex-induced vibration by using finite element simulations.Applied Ocean Research,48:1-9.
    Chen W M,Zhang L W,Li M.2009.Prediction of vortex-induced vibration of flexible riser using an improved wake-oscillator model//The ASME 28th International Conference on Ocean,Offshore and Arctic Engineering,Honolulu,Hawaii,377-383.
    Chen W M,Li M,Zheng Z Q,Tan T C.2012.Dynamic Characteristics and VIV of deep water riser with axially varying structural properties,Ocean Engineering,42:7-12.
    Chen W M,Zheng Z Q,Li M,Zhang L W.2011.Effects of varying tension and stiffness on dynamic characteristics and VIV of slender riser//Proceeding of the ASME 2011 30th International Conference on Ocean.Offshore and Arctic Engineering,Rotterdam,The Netherlands,207-213(OMEA2011-49295).
    Chen X H,Zhang J,Ma W.2001.On dynamic coupling effects between a spar and its mooring lines.Ocean Engineering,28:863-887.
    Chen X H,Ding Y,Zhang J,Liagre P,Niedzwecki J,Teigen P.2006.Coupled dynamic analysis of a mini TLP:comparison with measurements.Ocean Engineering,33:93-117.
    Chen X Y,Zha G C,Hu Z J.2004.Numerical simulation of flow induced vibration based on fully coupled fluid-structural interactions//The 34th AIAA Fluid Dynamics Conference and Exhibit,Portland,Oregon,AIAA Paper 2204-2240.
    Chen Z S,Kim W J.2012.Effect of bidirectional internal flow on fluid-structure interaction dynamics of conveying marine riser model subject to shear current.International Journal of Naval Architecture and Ocean Engineering,4:57.
    Chevron Y C,Tran L,Enuganti P,Campbell M.2011.Steel catenary riser response identification based on field measurements//Proceedings of the ASME 2011 30th International Conference on Ocean,Offshore and Arctic Engineering,Rotterdam,the Netherlands,OMAE 2011-50148.
    Clarke J H,Menkes H R,Libby P A.1955.A provisional analysis of turbulent boundary layers with injection.Journal of Aeronautical Science,22:255-260.
    Clausen T,D'Souza R.2001.Dynamic risers key component for deep water drilling floating production.Offshore,61:89-93.
    Coakley D B,Knutson R K.2003.Inflatable vibration reducing fairing.U.S.Patent No.6517589.
    Constantinides Y,Oakley,O H.2006.Numerical prediction of bare and straked cylinder VIV//The ASME25th International Conference on Offshore Mechanics and Arctic Engineering,745-753.
    Constantinides Y,Oakley O H,Holmes S.2007.CFD high L/D riser modeling study//The ASME 26th International Conference on Offshore Mechanics and Arctic Engineering,715-722.
    Constantinides Y,Oakley O H.2008.Numerical prediction of VIV and comparison with field experiments//The ASME 27th International Conference on Offshore Mechanics and Arctic Engineering,577-583.
    Cornut S F A,Vandiver K.2000.Offshore VIV monitoring at schiehallion-analysis of riser VIV response//The 19th ETCE/OMAE 2000 Joint Conference:Energy for the New Millenium,New Orleans,USA,14-17.
    Dahl J M,Hover F S,Triantafyllou M S.2006.Two-degree-of-freedom vortex-induced vibrations using a force assisted apparatus.Journal of Fluids and Structures,22:807-818.
    Dahl J M,Hover F S,Triantafyllou M S.2007.Resonant vibrations of bluff bodies cause multi vortex shedding and high frequency forces.Physical Review Letters,99:144503.
    Dahl J M,Hover F S,Triantafyllou M S.2010.Dual resonance in vortex-induced vibrations at subcritical and supercritical Reynolds numbers.Journal of Fluid Mechanics,643:395-424.
    Dai H L,Wang L.2012.Vortex-induced vibration of pipes conveying fluid using the method of multiple scales.Theoretical&Applied Mechanics Letters,2:022006.
    Davies,M.E.,1976.A comparison of the wake structure of a stationary and oscillating bluff body.Using a conditional averaging technique.Journal of Fluid Mechanics,75,209-231.
    Di Silvio G.1969.Self-controlled vibration of cylinder in fluid stream.Journal of Engineering Mechanics Division,95:347-361.
    Dickens W R.1979.The self-induced vibration of cylindrical structures in fluid flow.Ice Proceedings,67:13-30.
    Dong S,Triantafyllou G S,Karniadakis G E.2008.Elimination of vortex streets in bluff-body flows.Physical Review Letters,100:204501.
    Evangelinos C,Lucor D,Karniadakis G E.2000.DNS-derived force distribution on flexible cylinders subject to vortex-induced vibration.Journal of Fluids and Structures,14:429-440.
    Facchinetti M L,de Langre E,Biolley F.2004a.Coupling of structure and wake oscillators in vortex-induced vibrations.Journal of Fluids and Structures,19:123-140.
    Facchinetti M L,de Langre E,Biolley F.2004b.Vortex-induced travelling waves along a cable.European Journal of Mechanics B-Fluids,23:199-208.
    Feng C C.1968.The measurement of vortex induced effects in flow past stationary and oscillating circular and d-section cylinders.[Master Thesis].Canada:Department of Mechanical Engineering,The University of British Columbia.
    Feng L H,Wang J J.2010.Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point.Journal of Fluid Mechanics,662:232-259.
    Feodosev V P.1956.Vibrations and stability of a pipe when liquid flows through it.Inzhenernyi Sbornik,10:169-170.
    Ferrari J A.1998.Hydrodynamic loading and response of offshore risers.[PhD Thesis].London:University of London.
    Ferziger J H,Peric M.1997.Computational Methods for Fluid Dynamics.Springer,Berlin-Germany.
    Flemming F,Williamson C H K.2005.Vortex induced vibrations of a pivoted cylinder.J.Fluid Mech.,552:215-252.
    Franke J,Frank W.2002.Large eddy simulation of the flow past a circular cylinder at ReD 3900.Journal of Wind Engineering and Industrial Aerodynamics,90:1191-1206.
    Fu S X,Xu Y W,Chen Y.2014.Seabed effects on the hydrodynamics of a circular cylinder undergoing vortex-induced vibration at high reynolds number.Journal of Waterway Port Coastal and Ocean Engineering,140:04014008.
    Fujarra A L C,Pesce C P,Flemming F,Williamoson C H K.2001.Vortex-induced vibration of a flexible cantilever.Journal of Fluids and Structures,15:651-658.
    Furnes G K,Hassanein T,Halse K H,Eriksen M.1998.A field study of flow induced vibrations on a deepwater drilling riser//The Annual Offshore Technology Conference,Houston,Texas,USA,OTC 8702.
    Furnes G K,Srensen K.2007.Flow induced vibrations modeled by coupled non-linear oscillators//The 17thInternational Offshore and Polar Engineering Conference,Lisbon,Portugal,321-329.
    Gad-el-Hak M,Bushnell D M.1991.Separation control:review.Journal of Fluids Engineering,113:5-30.
    Garrett D L.2005.Coupled analysis of floating production systems.Ocean Engineering,32:802-816.
    Ge F,Lu W,Wang L,Hong Y S.2011.Shear flow induced vibrations of long slender cylinders with a wake oscillator model.Acta Mechanica Sinica,27:330-338.
    Glezer A,Amitay M.2002.Synthetic jets.Annual Review of Fluid Mechanics,34:503-529.
    Gopalkrishnan R.1993.Vortex induced forces on oscillating bluff cylinders.USA:Woods Hole Oceanographic Institution MA.
    Govardhan R,Williamson C H K.2004.Critical mass in vortex-induced vibration of a cylinder.European Journal of Mechanics B/Fluids,23:17-27.
    Grant R,Patterson D.1977.Riser fairing for reduced drag and vortex suppression//The Annual Offshore Technology Conference.Houston,Texas,USA,OTC 2921 MS.
    Griffin O M,Hall M S.1991.Review:Vortex shedding lock-on and flow control in bluff body wakes.Journal of Fluids Engineering,113:526-537.
    Griffin O M,Skop R A,Ramberg S E.1975.The resonant vortex excited vibrations of structures and cable systems//Proceedings of Offshore Technology Conference,Houston,Texas,OTC 2319.
    Grundy P,Hewitt M P.2002.Incremental collapse of tension legs and risers//Proceedings of 12th International Offshore and Polar Engineering Conference(ISOPE-2002),Kyushu Japan,129-132.
    Gu W,Chyu C,Rockwell D.1994.Timing of vortex formation from an oscillating cylinder.Physics of Fluids,6:3677-3682.
    Guo H Y,Lou M.2008.Effect of internal flow on vortex-induced vibration of risers.Journal of Fluids and Structures,24:496-504.
    Halse K H.2000.Norwegian deep water program:improved predictions on vortex-induced vibrations//Proc.of the OTC,Houston,Texas.OTC 11996.
    Hartlen R T,Currie I G.1970.Lift-oscillator model of vortex-induced vibration.Journal of the Engineering Mechanics,96:577-591.
    He J W,Low Y M.2010.Probabilistic assessment of the clashing between flexible marine risers//Proceedings of 29th International Conference on Ocean,Offshore and Arctic Engineering,OMAE,2010-20046,41-49.
    Herlianto I,Chen Q,Karunakaran D.2012.Lateral buckling induced by trawl gears pull-over loads on high temperature/high pressure subsea pipeline//The ASME 31st International Conference on Ocean Offshore and Arctic Engineering,Rio de Janeiro,Brazil,235-240.
    Heurtier J M,Biollcy F,Berhault C.1998.Fully coupled dynamic analysis of rigid lines and floater behaviors in deep water//Proceedings of the Eighth(1998)International Offshore and Polar Engineering Conference Montrkal,Canada,May 24-29.
    Heurtier J M,Le Buhan P,Fontaine E F,Mer L S S,Cunff F C L.2001.Coupled dynamic response of moored FPSO with risers//Proceedings of the Eleventh(2001)International Offshore and Polar Engineering Conference Stavanger,Norway,June 17-22.
    Holmes S,Constantinides Y,Oakley O H.2006.Simulation of riser VIV using fully three dimensional CFD simulations//The ASME 25th International Conference on Offshore Mechanics and Arctic Engineering,Hamburg,Germany.563-570.
    Hong N,Huh T.1999.Effect of internal flow on vortex-induced vibration of riser//The Ninth International Offshore and Polar Engineering Conference,Brest,France,688-693.
    Hover F S,Davis J T,Triantafyllou M S.2004.Three-dimensionality of mode transition in vortex-induced vibrations of a circular cylinder.European Journal of Mechanics B/Fluid,23:29-41.
    Hover F S,Techet A H,Triantafyllou M S.1998.Forces on oscillating uniform and tapered cylinders in cross flow.Journal of Fluid Mechanics,363:97-114.
    Huarte F J H,Bearman P W,Chaplin J R.2006.On the force distribution along the axis of a flexible circular cylinder undergoing multi-mode vortex-induced vibrations.Journal of Fluids and Structures,22:897-903.
    Huerre P.2002.Global nonlinear instabilities in wake flows//The Conference on Bluff Body Wakes and Vortex-Induced Vibrations(BBVIV3),Port Douglas,Australia.
    Huse E,Kleiven G,Nielsen F G.1998.Large scale model testing of deep sea risers//The Offshore Technology Conference,Houston,Texas.OTC 8701.
    Huse E,Kleiven G,Nielsen F G.1999.VIV-induced axial vibration on deep sea risers//The Offshore Technology Conference,Houston,Texas,OTC 10932.
    Iwan W D,Blevins R D.1974.A model for vortex induced oscillation of structures.Journal of Applied Mechanics,41:581-586.
    Iwan W D.1981.The Vortex-induced oscillation of non-uniform structure analysis.Journal of Sound and Vibration,79:291-301.
    Jauvtis N,Williamson C H K.2003.Vortex induced vibration of a cylinder with two degrees of freedom.J.Fluids Struct,17:1035-1042.
    Jauvtis N,Williamson C H K.2004.The effect of two degrees of freedom on vortex-induced vibration at low mass and damping.Journal of Fluid Mechanics,509:23-62.
    Kaasen K E,Lie H,Solaas F,Vandiver J K.2000.Norwegian deep water program:Analysis of vortex-induced vibrations of marine risers based on full-scale measurements//The Offshore Technology Conference,Houston,Texas,OTC 11997.
    Kaasen K E.2001.Optimizing sensor locations for identification of riser VIV modes//The 11th International Ocean and Polar Engineering Conference,Stavanger,Norway,23-28.
    Karayaka M,Chen J H,Blankenship C,Chevron E T C,Ruf W.2009.2H Offshore Inc.Mat Podskarbi,Schlumberger Tahiti online monitoring system for steel catenary risers and flow lines//Offshore Technology Conference,Houston,Texas,OTC 19860.
    Keber M,Wiercigroch M.2008.Dynamics of a vertical riser with weak structural nonlinearity excited by wakes.Journal of Sound and Vibration,315:685-699.
    Ketar M,Patil K D.2014.Review of subsea pipeline for minimizing thermal and pressure expansion.Journal of Petroleum Engineering and Technology,4:10-22.
    Khalak A,Williamson C H K.1999.Motions,orces and mode transitions in vortex-induced vibrations at low mass-damping.Journal of Fluids and Structures,13:813-851.
    Kim Y H,Vandiver J K,Holler R.1986.Vortex-induced vibration and drag coefficients of long cables subjected to sheared flows.Journal of Energy Resources Technology,108:77-83.
    Korkischko I,Meneghini J R.2010.Experimental investigation of flow-induced vibration on isolated and tandem circular cylinders fitted with strakes.Journal of Fluids and Structures,26:611-625.
    Kravchenko A G,Moin P.1998.B-spline methods and zonal grids for numerical simulations of turbulent flows.USA:Department of Mechanical Engineering,Stanford University,Report TF-73.
    Kumar R A,Sohn C H,Gowda B H L.2008.Passive control of vortex-induced vibrations.An Overview Recent Patents on Mechanical Engineering,1:1-11.
    Lam K,Wang F H,Li J Y,So R M C.2004.Experimental investigation of the mean and fluctuating forces of wavy(varicose)cylinders in a cross-flow.Journal of Fluids and Structures,19:321-334.
    Lam K,Lin Y F,Zou L,Liu Y.2010.Investigation of turbulent flow past a yawed wavy cylinder.Journal of Fluids and Structures,26:1078-1097.
    Larsen C M,Halse K H.1997.Comparison of models for vortex-induced vibrations of slender marine structures.Marine Structures,10:413-441.
    Larsen C M,Vikestad K,Yttervik R,Passano E.2001.Empirical model for analysis of vortex induced vibrations-theoretical background and case studies//The ASME 20th International Conference on Offshore Mechanics and Arctic Engineering,Rio de Janeiro.OMAE2001/OFT-1203.
    Layek G C,Midya C,Gupta A S.2008.Influences of suction and blowing on vortex shedding behind a square cylinder in a channel.International Journal of Non-Linear Mechanics,43:979-984.
    Lee S J,Kim H B.1997.The effect of surface protrusions on the near wake of a circular cylinder.Journal of Wind Engineering and Industrial Aerodynamics,71:351-361.
    Lee H H,Wang P W.2000.Analytical solution on the surge motion of tension-leg twin platform structural systems.Ocean Engineering,27:393-415.
    Li B B,Ou J P,Teng B.2010.Fully coupled effects of hull.Mooring and risers model in time domain based on an innovative deep draft multi-spar.China Ocean Engineering,24:219-233.
    Liao J C.2002.Vortex-induced vibration of slender structure in unsteady flow.[PhD Thesis].Massachusetts:Massachusetts Institute of Technology.
    Lie H,Kaasen K E.2006.Modal analysis of measurements from a large-scale VIV model test of a riser in linearly sheared flow.Journal of Fluids and Structures,22:557-575.
    Lie H,Larsen C M,Vandiver J K.1997.Vortex induced vibrations of long marine risers;model test in a rotating rig//The ASME16th International Conference on Offshore Mechanics and Arctic Engineering,Yokohama,Japan,241-252.
    Lim H C,Lee S J.2004.Flow control of a circular cylinder with O-rings.Fluid Dynamics Research,35:107-122.
    Lubbad R K,Loset S,Moe G.2011.Experimental investigations of the efficiency of round-Sectioned helical strakes in suppressing vortex induced vibrations.Journal of Offshore Mechanics and Arctic Engineering,133:041102.1-041102.10.
    Lucor D,Imas L,Karniadakis G E.2001.Vortex dislocations and force distribution of a long flexible cylinders subjected to sheared flows.Journal of Fluids and Structures Mechanics,15:641-650.
    Lucor D,Triantafalou M S,Ma X,Karniadakis G E.2003.Vortex-induced vibrations of long marine risers in sheared flows:DNS studies//The 4th ASME/JSME Joint Fluids Engineering Conference,Honolulu,Hawaii,USA.
    Lucor D,Foo J,Karniadakis G E.2005.Vortex mode selection of a rigid cylinder subject to VIV at low mass-damping.Journal of Fluids and Structures,20:483-503.
    Lyons G J,Patel M H.1986.A prediction technique for vortex induced transverse response of marine risers and tethers.Journal of Sound and Vibration,11:467-487.
    Lyons G J,Vandiver J K,Larsen C M,Ashcombe G T.2003.Vortex induced vibrations measured in service in the Foinaven dynamic umbilical and lessons from prediction.Journal of Fluids and Structures,17:1079-1094.
    Machado R Z,Mourelle M M,Franciss R,Silva R M,Lima C S,Eisemberg R,Oliveira D.1992.Monitoring program for the first steel catenary riser installed in a moored floating platform in deep water//OceansConference Record(IEEE),801-810.
    Mandini R V.1961.Kinematics of vortices in the early wake of vibrating circular cylinders.[Master Thesis].USA:University of California,Berkeley.
    Marcollo H,Chaurasia H,Vandiver J K.2007.Phenomena observed in VIV bare riser field tests//THE ASME 26th International Conference on Offshore Mechanics and Arctic Engineering,989-995.
    Masters R H,Griffith B L.2012.Apparatus and method for securing a fairing around a marine element.US2012/0243944.
    Mathelin L,de Langre E.2005.Vortex-induced vibrations and waves under shear flow with a wake oscillator model.European J.of Mechanics B/Fluids,24:478-490.
    Meneghini J R,Bearman P W.1993.Numerical simulation of high amplitude oscillator-flow about a circular cylinder using a discrete vortex method//Shear Flow Conf.Orlando,FL,AIAA Paper 93-3288.
    Meneghini J R,Saltara F,Fregonesi R A,Yamamoto C T,Casaprima E,Ferrari J A.2004.Numerical simulations of VIV on long flexible cylinders immersed in complex flow fields.European Journal of Mechanics B/Fluids,23:51-63.
    Meng D,Chen L.2011.Nonlinear free vibrations and vortex-induced vibrations of fluid-conveying steel catenary riser.Applied Ocean Research,34:52-67.
    Mittal R,Moin P.1997.Suitability of upwind-biased finite-difference schemes for large-eddy simulation of turbulent flows.AIAA Journal,35:1415-1417.
    Mittal S,Kumar V.2001.Flow-induced vibrations of a light circular cylinder at Reynolds numbers 103 to104.Journal of sound and vibration,245:923-946.
    Moe G,Wu Z J.1990.The lift force on a vibrating cylinder in a current.Journal of Offshore Mechanics and Arctic Engineering,112:297-303.
    Moe G,Chucheepsakul S.1998.The effect of internal flow on marine risers//The 7th International Conference on Offshore Mechanics and Arctic Engineering,375-382.
    Morse T L,Govardhanb R N,Williamson C H K.2008.The effect of end conditions on the vortex-induced vibration of cylinders.Journal of Fluids and Structures,24:1227-1239.
    Morse T L,Williamson C H K.2006.Employing controlled vibrations to predict fluid forces on a cylinder undergoing vortex-induced vibration.Journal of Fluids and Structures,22:877-884.
    Murrin D,Ordonez M,Stone G,Bose N,Qiu W.2007.High mode vortex induced vibration(VIV)experiments on a large-scale riser//The 2007 IEEE Oceans,Vancouver,Canada,1-7.
    Narzul P,Marion A.1986.Static and dynamic behavior of flexible catenary risers//The ASME 5th International Offshore Mechanics and Arctic Engineering Symposium,378-386.
    Newman D J,Karniadakis G E.1997.A direct numerical simulation study of flow past a freely vibrating cable.Journal of Fluid Mechanics,344:95-136.
    Okajima A,Nakamura A,Kosugi T,Uchida H.2002.Flow-induced in-line oscillation of a circular cylinder//Conference on Bluff Body Wakes and Vortex-Induced Vibrations(BBVIV3),Port Douglas,Australia.
    OrcaFlex Manual of Version 9.3a.Orcina Ltd.1998.
    Ordonez M,Sonnaillon M O,Murrin D,Bose N,Qiu W.2007.An advanced measurement system for vortex-induced-vibrations characterization in large-scale risers//The 2007 IEEE Oceans,Vancouver,1-5.
    Paidoussis M P,Issid N T.1974.Dynamic stability of pipes conveying fluid.Journal of Sound and Vibration,33:267-294.
    Patel M H,Park H I.1995.Combined axial and lateral responses of tensioned buoyant platform tethers.Engineering Structures,17:687-695.
    Patel M H,Witz J A.1991a.Compliant Offshore Structures.Butterworth-Heinemann.
    Patel M H,Park H I.1991.Dynamics of tension leg platform tethers at low tension.Part I-Mathieu stability at large parameters.Marine Structures,4:257-273.
    Pesce C P,Fujarra A L C.2000.Vortex-induced vibrations and jumping phenomenon:An experimental investigation with a clamped flexible cylinder in water.International Journal of Offshore and Polar Engineering,420:26-33.
    Pontaza J P,Chen H C.2007.Three-dimensional numerical simulations of circular cylinders undergoing two degree-of-freedom vortex-induced vibrations.Journal of Offshore Mechanics and Arctic Engineering,129:158-164.
    Pontaza J P,Chen C,Chen H.2005.Chimera reynolds-averaged navier-stokes simulations of vortex-induced vibration of circular cylinders.Civil Engineering in the Oceans,2014:166-176.
    Prasad A,Williamson C H K.1997.Three dimensional effects in turbulent bluff-body wakes.Journal of Fluid Mechanics,343:235-264.
    Rao Z B,Fu S X,Yang J M.2011.Vortex-induced vibration analysis of steel catenary riser.Journal of Ship Mechanics,15:245-258.
    Sainsbury R N,King R.1971.The flow induced oscillation of marine structures.Ice Proceedings,49:269-302.
    Sanchis A.2009.Two degrees of freedom vortex-induced vibrations of a rigid circular cylinder with varying natural frequencies in the X and Y directions//The ASME 28th International Conference on Ocean,Offshore and Arctic Engineering.Honolulu HI,USA,889-894.
    Sarpkaya T.1977.In-Line and transverse forces on cylinders in oscillatory flow at high reynolds numbers.Journal of Ship Research,21:200-216.
    Sarpkaya T.1978.Fluid forces on oscillating cylinders.Journal of Waterway Port Coastal and Ocean Division,104:275-290.
    Sarpkaya T.1995.Hydrodynamic damping flow-induced oscillations and biharmonic response.Journal of Offshore Mechanics and Arctic Engineering,117:232-238.
    Sarpkaya T.1979.Vortex-induced oscillations a selective review.Journal of Applied Mechanics,46:241-258.
    Sarpkaya T.2004.A critical review of the intrinsic nature of vortex-induced vibrations.Journal of Fluids and Structure,19:389-447.
    Simos A N,Pesce C P.1997.Mathieu stability in the dynamics of TLP's tethers considering variable tension along the length.Transactions on the Built Environment,29:41-48.
    Skop R A,Griffin O M.1973.A model for the vortex-excited resonant response of bluff cylinders.Journal of Sound and Vibration,27:225-233.
    Slaouti A,Gerrard J H.1981.An experimental investigation of the end effects on the wake of a circularcylinder towed through water at low reynolds numbers.Journal of Fluid Mechanics,122:297-314.
    So R M C,Liu Y,Chan S T,Lam K.2001.Numerical studies of a freely vibrating cylinder in a cross flow.Journal of Fluids and Structures,15:845-866.
    Song J N,Lii L,Zhang J Q,Hao W V,Tang G Q.2009.Experimental investigation of suppression of vortex-induced vibration of marine risers by three control rods.The Ocean Engineering,27:23-29.
    Spanos P D,Ghosh R,Finn L D.2005.Coupled analysis of a spar structure:Monte Carlo and statistical linearization solutions.Journal of Offshore Mechanics and Arctic Engineering,127:11-16.
    Srinil N,Wiercigroch M,O'Brien P.2009.Reduced-order modeling of vortex-induced vibration of catenary riser.Ocean Engineering,36:1404-1414.
    Srinil N,Zanganeh H.2012.Modelling of coupled cross-flow/in-line vortex-induced vibrations using double duffing and van der Pol oscillators.Ocean Engineering,53:83-97.
    Stansberg C T,Ormberg H,Oritsland O.2002.Challenges in deep water experiments:Hybrid approach.Journal of Offshore Mechanics and Arctic Engineering,124:91-96.
    Sugimoto T,Saito S,Matsuda K,Okajima A,Kiwata T,Kosugi T.2002.Water tunnel experiments on in-line oscillation of a circular cylinder with a finite span length//Conference on Bluff Body Wakes and Vortex-Induced Vibrations(BBVIV3),Port Douglas,Australia.
    Sun J,Shi H,Jukes P.2011.Upheaval buckling analysis of partially buried pipeline subjected to high pressure and high temperature//The ASME 30th International Conference on Ocean,Offshore and Arctic Engineering,Rotterdam,The Netherlands,487-494.
    Szepessy S,Bearman P W.1992.Aspect ratio and end plate effects on vortex shedding from a circular cylinder.Journal of Fluid Mechanics,234:191-217.
    Tahara A,Kim M H.2008.Coupled-dynamic analysis of floating structures with polyester mooring lines.Ocean Engineering,35:1676-1685.
    Tezduyar T E,Behr M,Liou J.1992.A new strategy for finite element computations involving moving boundaries and interfaces-the deforming-spatial-domain/space-time procedure:I.The concept and the preliminary tests.Computer Methods in Applied Mechanics and Engineering,94:339-351.
    Tognarelli M A,Slocum S T,Frank W R,Campbell R B.2004.VIV response of a long flexible cylinder in uniform and linearly sheared currents//Offshore Technology Conference,OTC-16338,1-12.
    Trim A D,Braaten H,Lie H,Tognarelli M A.2005.Experimental investigation of vortex-induced vibration of long marine risers.Journal of Fluids and Structures,21:335-361.
    Trarieux F,Lyons G J,Patel M H.2006.Investigations with a bandwidth measure for fatigue assessment of the Foinaven dynamic umbilical including VIV.Engineering Structures,28:1671-1690.
    Triantafyllou M S,Techet A H,Hover F S.2004.Review of experimental work in biomimetic foils.IEEE Journal of Oceanic Engineering,29:585-594.
    Vandiver J K,Allen D,Li L.1996.The occurrence of lock-in under highly sheared conditions.Journal of Fluids and Structures,10:555-561.
    Vandiver J K.1998.Research challenges in the vortex-induced vibration prediction of marine risers//The1998 Offshore Technology Conference.Houston,Texas,the USA,OTC 8698.
    Vandiver J K.2002.A universal reduced damping parameter for prediction of vortex-induced vibration//Proceedings of the 20th International Conference on Offshore Mechanics and Arctic Engineering,Oslo,Norway.
    Vandiver J K,Jaiswal V,Jhingran V.2009.Insights on vortex-induced traveling waves on long risers.Journal of Fluids and Structures,25:641-653.
    Vandiver J K,Mazel C H.1976.A field study of vortex-excited vibrations of marine cables//The 8th Annual Offshore Technology Conference,Dallas,Texas,the USA,OTC 2491.
    Vandiver J K.1983.Drag coefficients of long flexible cylinders//15th Annual Offshore Technology Conference,Houston,Texas.
    Vandiver J K,Li L.1999.SHEAR7 program theory manual//MIT,Department of Ocean Engineering,MIT,Boston,USA.
    Vandiver J K,Marcollo H,Swithenbank S,Jhingran V.2005.High mode number vortex-induced vibration field experiments//Offshore Technology Conference,Houston,Texas.
    Vikestad K.1998.Multi-frequency response of a cylinder subjected to vortex shedding and support motions.[PhD Thesis].Norwegia:Department of Marine Structures Faculty of Marine Technology,Norwegian University of Science and Technology.
    Vikestad K,Vandiver J K,Larsen C M.2000.Added mass and oscillation frequency for a circular cylinder subjected to vortex-induced vibrations and external disturbance.Journal of Fluids and Structures,14:1071-1088.
    Wang J G,Fu S X,Baarholm R,Wu J,Larsen C M.2014.Fatigue damage of a steel catenary riser from vortex-induced vibration caused by vessel motions.Marine Structures,39:131-156.
    Wang Y,Chen W M,Lin M.2007.Study on the variation of added mass and its application to the calculation of amplitude response for a circular cylinder at lock-in.China Ocean Engineering,21:429-437.
    Wichers J E W,Voogt H J,Roelofs H W,Driessen P C M.2001.DeepStar-CTR 4401 Benchmark Model Test.MARIN,Netherlands,Technical Report No.16417-1-OB.
    Williamson C H K,Govardhan R.2008.A brief review of recent results in vortex-induced vibrations.Journal of Wind Engineering and Industrial Aerodynamics,96:713-735.
    Williamson C H K.1996.Vortex dynamics in the wake.Annual Review of Fluid Mechanics,28:477-539.
    Williamson C H K,Govardhan R.2004.Vortex-induced vibrations.Annu.Rev.Fluid Mech.,36:413-455.
    Williamson C H K,Roshko A.1988.Vortex formation in the wake of an oscillating cylinder.J.Fluids Struct.,2:355-381.
    Willden R H J,Graham J M R.2001.Numerical prediction of VIV on long flexible circular cylinders.Journal of Fluids and Structures,15:659-666.
    Willis N R T,Thethi K S.1999.Stride JIP:Steel risers in deep water environments-progress summary//The Offshore Technology Conference,Houston,USA,OTC 10974.
    Wu M C,Lou J Y K.1991.Effect of rigidity and internal flow on marine riser dynamics.Applied Ocean Research,13:235-244.
    Wu X D,Ge F,Hong Y H.2012a.A review of recent studies on vortex-induced vibrations of slender cylinders.J.Fluids Struct.,28:292-308.
    Wu X M,Huang W P.2012b.Study on analysis method for deep water TTR coupled vibration of parameter vibration and vortex-induced vibration.Journal of Vibroengineering,24:977-983.
    Xu W H,Gao X F,Du J.2012.The prediction on in-line vortex-induced vibration of slender marine structures.Acta Mechanica Sinica,28:1303-1308.
    Xu Y W,Fu S X,Chen Y,Zhong Q,Fan D X.2013.Experiment investigation on vortex induced forces of oscillating cylinder at high reynolds number.Ocean System Engineering,3:167-180.
    Yamamoto C T,Fregonesi R A,Meneghini J R,Saltara F,Ferrari J A.2004.Numerical simulations of vortex-induced vibration of flexible cylinders.Fluids Struct.,19:467-489.
    Yang H Z,Xiao F.2014,Instability analyses of a top-tensioned riser under combined vortex and multifrequency parametric excitations.Ocean Engineering,81:12-28.
    Yu M H,Lin T K.2005.A numerical study on fluid elastic vibrations of multiple cylinders in cross flow.Journal of the Chinese Institute of Engineers,28:101-110.
    Zdravkovich M M.1981.Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding.Journal of Wind Engineering and Industrial Aerodynamics,7:145-189.
    Zdravkovich M M.1997.Flow Around Circular Cylinders.Vol.1:Fundamentals.Oxford:Oxford Science Publications.
    Zhang H,Han Y,Chen F.2011.Experimental investigation on the vortex-induced vibration of the cylinders with helical strakes.Applied Mechanics and Materials,117-119:747-750.
    Zhang L W,Chen W M.2010.Controlling parameter for wave types of long flexible riser undergoing vortex-induced vibration//Proceedings of 1st International Symposium on Archimedes Bridge,161-170.

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