拉索风雨激振理论模型研究及其振动特性分析
|
摘要
随着大跨径斜拉桥的不断兴建，作为该桥型主要受力构件的斜拉索的长度也变得越来越长。由于斜拉索具有自重轻、柔度大、阻尼低的特点，极易发生各类风致振动，而其中风雨激振振幅最大，造成的危害也最为严重。国内外学者对拉索风雨激振开展了大量研究，但已有理论模型还有许多不完善的地方，不能全面反映实际的拉索风雨激振现象。
本文在广泛阅读已有研究文献的基础上，评述了各种拉索风雨激振理论模型的优点和不足之处，在此基础上确定了本文的研究内容。
通过利用浸润理论、Prandtl边界层理论和静水边界层理论重新研究了拉索表面与水线之间的相互作用力模式，论证了库仑阻尼力和粘滞线性阻尼力的存在，并推导出了计算公式。
利用运动水线两自由度节段拉索风雨激振理论模型研究了拉索表面材料对风雨激振的影响规律，讨论了粘滞线性阻尼系数的合理取值，并结合本文建立的准运动水线节段拉索风雨激振理论模型分析了水线与拉索之间的耦合运动规律，对拉索风雨激振的发生条件进行了探讨。运用运动水线三自由度节段拉索风雨激振理论模型分析了拉索面内-面外振动规律，并对拉索截面振动轨迹倾斜角的影响因素进行了讨论。
在对拉索风雨激振现象及各种影响因素进行详细分析的基础上，分别建立了以拉索各阶振型表示的只考虑面内振动以及同时考虑面内-面外振动的运动水线连续弹性拉索风雨激振理论模型，详细研究了拉索振动特性、水线沿拉索轴向的分布规律及其对拉索振动的影响规律、水线与拉索之间的耦合振动规律、风剖面幂指数对拉索风雨激振的影响规律、拉索面内-面外耦合振动规律、以及风场紊流度对拉索风雨激振的影响规律。
本文对以上研究内容从物理意义和力学机理上作了较为合理的解释，理论分析结果与试验和现场实测的结果基本吻合，证明本文建立的理论模型能够综合地考虑各种因素的影响，比以往的理论模型更能全面地反映拉索风雨激振特征。利用本文所建立的理论模型，能借助数学和力学工具更深入地研究拉索风雨激振的发生机理和发生条件，同时能够通过定量分析，为斜拉索的设计和振动控制提供依据。
With the increasing of span of cable-stayed bridges, the length of stay cable isbecoming longer and longer, many kinds of wind-induced vibration of cables occurredeasily owing to the characteristics of small mass, large flexibility and low inherentdamping of cables. In these cables vibration forms, the large-amplitude rain-wind-induced vibration is harmful especially. Scholars of the world have done a great deal ofresearch on rain-wind-induced vibration of cable, but existing theoretical models havelots of imperfect places and can not reflect characteristics of this cable vibration formcomprehensively.
Base on extensive reading of existing research literatures, the merits anddeficiencies of former theoretical models of rain-wind-induced vibration of cable arereviewed, and research contents of this paper are determined.
According to the soakage theory, Prandtl boundary layer theory and static waterboundary layer theory, the interactive force between the cable surface and the rivulet isrestudied. The existence of the Coulomb damping force and the linear viscous dampingforce is demonstrated, and calculation formulas of these two damping forces arededuced.
Using two freedoms theoretical model of rain-wind-induced vibration ofsegmental cable with moving rivulet, the influence of the surface material of cable onrain-wind-induced vibration and reasonable value of the linear viscous damping forcecoefficient are studied. Combining the theoretical model of rain-wind-inducedvibration of segmental cable with quasi-moving rivulet which established in this paper,the regularity of coupling vibration between cable and rivulet is analyzed, andoccurring conditions of rain-wind-induced vibration of cable are proposed. Using threefreedoms theoretical model of rain-wind-induced vibration of segmental cable withmoving rivulet, the regularity of in-plane/out-of-plane vibration of cable and the effectfactors of vibration trajectory dip angle of cable section are analyzed.
By analyzing the phenomenon of rain-wind-induced vibration of cable anddifferent of influencing factors in detail, the theoretical models of rain-wind-inducedvibration of continuous elastic cable with moving rivulet which considered in-planevibration only and in-plane/out-of-plane simultaneously are established respectively.Using these two theoretical models, the vibration characteristics of cable, thedistribution regularity of rivulet along cable and its influence on cable vibration, the regularity of coupling vibration between cable and rivulet, the influencing regularity ofthe power exponent of wind speed profile on rain-wind-induced vibration, theregularity of in-plane/out-of-plane coupling vibration of cable, and the influencingregularity of the turbulence intensity of wind field on rain-wind-induced vibration arestudied systematically.
Reasonable explanation for the above research content is given from physicssignificance and mechanical principle. The theoretical results are in good agreementwith those obtained in the test and measurement. The consistency shows that thetheoretical models which established in this paper can consider various kinds ofinfluence factors and more fully reflect the vibration characteristics of rain-wind-induced vibration of cable than existing ones. Using these models, researchers canfurther study the occurring condition and mechanism of this cable vibration form withmathematical and mechanical instruments and analyze quantitatively, which providesreference for design and cable vibration control.
本文在广泛阅读已有研究文献的基础上，评述了各种拉索风雨激振理论模型的优点和不足之处，在此基础上确定了本文的研究内容。
通过利用浸润理论、Prandtl边界层理论和静水边界层理论重新研究了拉索表面与水线之间的相互作用力模式，论证了库仑阻尼力和粘滞线性阻尼力的存在，并推导出了计算公式。
利用运动水线两自由度节段拉索风雨激振理论模型研究了拉索表面材料对风雨激振的影响规律，讨论了粘滞线性阻尼系数的合理取值，并结合本文建立的准运动水线节段拉索风雨激振理论模型分析了水线与拉索之间的耦合运动规律，对拉索风雨激振的发生条件进行了探讨。运用运动水线三自由度节段拉索风雨激振理论模型分析了拉索面内-面外振动规律，并对拉索截面振动轨迹倾斜角的影响因素进行了讨论。
在对拉索风雨激振现象及各种影响因素进行详细分析的基础上，分别建立了以拉索各阶振型表示的只考虑面内振动以及同时考虑面内-面外振动的运动水线连续弹性拉索风雨激振理论模型，详细研究了拉索振动特性、水线沿拉索轴向的分布规律及其对拉索振动的影响规律、水线与拉索之间的耦合振动规律、风剖面幂指数对拉索风雨激振的影响规律、拉索面内-面外耦合振动规律、以及风场紊流度对拉索风雨激振的影响规律。
本文对以上研究内容从物理意义和力学机理上作了较为合理的解释，理论分析结果与试验和现场实测的结果基本吻合，证明本文建立的理论模型能够综合地考虑各种因素的影响，比以往的理论模型更能全面地反映拉索风雨激振特征。利用本文所建立的理论模型，能借助数学和力学工具更深入地研究拉索风雨激振的发生机理和发生条件，同时能够通过定量分析，为斜拉索的设计和振动控制提供依据。
With the increasing of span of cable-stayed bridges, the length of stay cable isbecoming longer and longer, many kinds of wind-induced vibration of cables occurredeasily owing to the characteristics of small mass, large flexibility and low inherentdamping of cables. In these cables vibration forms, the large-amplitude rain-wind-induced vibration is harmful especially. Scholars of the world have done a great deal ofresearch on rain-wind-induced vibration of cable, but existing theoretical models havelots of imperfect places and can not reflect characteristics of this cable vibration formcomprehensively.
Base on extensive reading of existing research literatures, the merits anddeficiencies of former theoretical models of rain-wind-induced vibration of cable arereviewed, and research contents of this paper are determined.
According to the soakage theory, Prandtl boundary layer theory and static waterboundary layer theory, the interactive force between the cable surface and the rivulet isrestudied. The existence of the Coulomb damping force and the linear viscous dampingforce is demonstrated, and calculation formulas of these two damping forces arededuced.
Using two freedoms theoretical model of rain-wind-induced vibration ofsegmental cable with moving rivulet, the influence of the surface material of cable onrain-wind-induced vibration and reasonable value of the linear viscous damping forcecoefficient are studied. Combining the theoretical model of rain-wind-inducedvibration of segmental cable with quasi-moving rivulet which established in this paper,the regularity of coupling vibration between cable and rivulet is analyzed, andoccurring conditions of rain-wind-induced vibration of cable are proposed. Using threefreedoms theoretical model of rain-wind-induced vibration of segmental cable withmoving rivulet, the regularity of in-plane/out-of-plane vibration of cable and the effectfactors of vibration trajectory dip angle of cable section are analyzed.
By analyzing the phenomenon of rain-wind-induced vibration of cable anddifferent of influencing factors in detail, the theoretical models of rain-wind-inducedvibration of continuous elastic cable with moving rivulet which considered in-planevibration only and in-plane/out-of-plane simultaneously are established respectively.Using these two theoretical models, the vibration characteristics of cable, thedistribution regularity of rivulet along cable and its influence on cable vibration, the regularity of coupling vibration between cable and rivulet, the influencing regularity ofthe power exponent of wind speed profile on rain-wind-induced vibration, theregularity of in-plane/out-of-plane coupling vibration of cable, and the influencingregularity of the turbulence intensity of wind field on rain-wind-induced vibration arestudied systematically.
Reasonable explanation for the above research content is given from physicssignificance and mechanical principle. The theoretical results are in good agreementwith those obtained in the test and measurement. The consistency shows that thetheoretical models which established in this paper can consider various kinds ofinfluence factors and more fully reflect the vibration characteristics of rain-wind-induced vibration of cable than existing ones. Using these models, researchers canfurther study the occurring condition and mechanism of this cable vibration form withmathematical and mechanical instruments and analyze quantitatively, which providesreference for design and cable vibration control.
引文
[1] Wianechi J. Cables wind excited vibrations of cable-stayed bridge. In:5th Int.Coy. On Wind Eng. Colorado,1979
[2] Hikami Y, Shiraishi N. Rain-wind induced vibrations of cables in cable stayedbridges. Journal of Wind Engineering and Industrial Aerodynamics,1988,29:409-4l8
[3] Poston R, Cable-stayed Conundrum. Civil Engineering,1998(8):58-61
[4] Persoon A J, Noorlander K. Full-scale measurements on the Erasmus Bridge afterrain/wind induced cable vibrations. In: Wind Engineering into the21st Century.Balkema: Rotterdam,1999,1019-1026
[5]顾明，刘慈军，罗国强等.斜拉桥拉索的风(雨)激振及控制.上海力学，1998，19(4)：283-288
[6]陈政清.桥梁风工程.第一版.北京：人民交通出版社，2005
[7] Matsumoto M, Yagi T, Hatsuda H, et a1. Dry galloping characteristics and itsmechanism of inclined/yawed cables. Journal of Wind Engineering and IndustrialAerodynamics,2010,98:317-327
[8] Saul R, Hohle H W. Damages of stay cables and prevention theory. In: Bridgeinto21st century. Hong Kong,1995,531-538
[9]埃米尔．希缪，罗伯特．H．斯坎伦著，刘尚培等译.风对结构的作用—风工程导论.上海：同济大学出版社，1992
[10] Den Hartog J P. Transmission line vibration due to sleet. AIEE Transaction.1932,51
[11]项海帆，葛耀君，朱乐东.特大桥梁颤振和抖振精细化理论.第十五届全国结构风工程学术会议暨第一届全国风工程研究生论坛论文集(杭州).北京：人民交通出版社，2011，3-11
[12] Matsumoto M, Shiraishi N. Rain-wind induced vibrations of cables ofcable-stayed bridge. Journal of Wind Engineering and Industrial Aerodynamics,1992,41-43:201l-2022
[13] Matsumoto M, Saitoh T, Kitazawa M, et a1. Response characteristics of rain-windinduced vibration of stay-cable of cable-stayed bridges. Journal of WindEngineering and Industrial Aerodynamics,1995,57:323-333
[14] Matsumoto M, Yagi T, Shigemur Y, et a1. Vortex-induced cable vibration ofcable-stayed bridges at high reduced wind velocity. Journal of Wind Engineeringand Industrial Aerodynamics,2001,89:633-647
[15]王修勇.斜拉桥拉索振动控制新技术研究：[中南大学博士论文].长沙：中南大学，2002
[16]柳成荫.斜拉桥拉索风雨激振的环境与振动特性观测研究：[中南大学硕士论文].长沙：中南大学，2004
[17]陈政清.斜拉索风雨振现场观测与振动控制.建筑科学与工程学报，2005，22(4)：5-10
[18]胡建华，王修勇，陈政清等.斜拉索风雨振响应特性.中国公路学报，2006，19(3)：41-48
[19] Ni Y Q, Wang X Y, Chen Z Q, et a1. Field observations of rain-wind-inducedcable vibration in cable-stayed Dongting Lake Bridge. Journal of WindEngineering and Industrial Aerodynamics,2007,95:303-328
[20] Matsumoto M, Shirato H, Yagi T, et al. Field observation of the full-scale wind-induced cable vibration. Journal of Wind Engineering and IndustrialAerodynamics,2003,91:13-26
[21] Yamaguchi H, Manabe Y, Sasaki N, et al. Field observation and vibration test ofthe Tatara Bridge. In: IABSE Conference. Sweden,1999
[22] Main J A, Jones N P. Full-scale measurements of stay cable vibration. In:10thInternational Conference on Wind Engineering, Copenhagen Denmark,1999,963-970
[23] Zou D. Understanding wind-and rain-wind-induced stay cable vibrations：[TheJohns Hopkins University博士论文].美国：The Johns Hopkins University，2005，5
[24] Zuo D, Jones N P, Main J A. Field observation of vortex-and rain-wind-inducedstay-cable vibrations in a three-dimensional environment. Journal of WindEngineering and Industrial Aerodynamics,2008,96(6-7):1124-1133
[25] Zou D, Jones N P. Interpretation of field observation of wind-and rain-wind-induced stay cable vibration. Journal of Wind Engineering and IndustrialAerodynamics,2010,98:73-87
[26] Matsumoto M, Shiraishi N, Kitazawa M, et al. Aerodynamic behavior of inclinedcircular cylinders-cable aerodynamics. Journal of Wind Engineering and IndustrialAerodynamics,1990,33:63-72
[27] Flamand O. Rain-wind induced vibration of cables. Journal of Wind Engineeringand Industrial Aerodynamics,1995,57:353-362
[28] Bosdogianni A, Olivari D. Wind-and rain-induced oscillations of cable of stayedbridge. Journal of Wind Engineering and Industrial Aerodynamics,1996,64:171-185
[29] Verwiebe C, Rucheweyh H. Recent research results concerning the excitingmechanisms of rain-wind-induced vibrations. Journal of Wind Engineering andIndustrial Aerodynamics,1998,74-76:1005-1013
[30]杜晓庆.斜拉桥拉索风雨激振研究：[同济大学博士论文].上海：同济大学土木工程学院，2003
[31]杜晓庆，顾明，全涌.斜拉桥拉索风雨激振控制的试验研究.同济大学学报(自然科学版)，2003，31(11)：1266-1269，1279
[32]顾明，杜晓庆.模拟降雨条件下斜拉桥拉索风雨激振及控制的试验研究.土木工程学报，2004，37(7)：101-105
[33] Gu M, Du X Q. Experimental investigation of rain-wind-induced vibration ofcables in cable-stayed bridges and its mitigation. Journal of Wind Engineering andIndustrial Aerodynamics,2005,93:79-95
[34]李文勃，林志兴.斜拉桥拉索风雨激振研究的试验设计.长安大学学报(自然科学版)，2003，23(2)：57-60
[35]李文勃，林志兴.斜拉桥拉索风雨激振的试验研究.郑州大学学报(工学版)，2005，26(1)：33-37
[36]李文勃，林志兴，杨立波.超长斜拉索风阻系数及风雨激振的试验研究.振动、测试与诊断，2005，25(2)：85-90，152
[37]李文勃，林志兴.抑制斜拉桥拉索风雨激振的气动措施研究.土木工程学报，2005，38(5)：48-53
[38]李文勃.斜拉桥拉索三维风雨激振及静风荷载研究：[同济大学博士论文].上海：同济大学土木工程学院，2007
[39]李永乐，卢伟，陶齐宇等.斜拉桥拉索风-雨致振动特性风洞试验研究.试验流体力学，2007，21(4)：36-40，44
[40] Zhan S, Xu Y L, Zhou H J, et a1. Experimental study of wind-rain-induced cablevibration using a new model setup scheme. Journal of Wind Engineering andIndustrial Aerodynamics,2008,96:2438-2451
[41] Cosentino N, Flamand O. Rain-wind induced vibration of inclined stay cables.Part I: Experimental investigation and physical explanation. Wind and Structures,2003,6(6):471-484
[42]许林汕.基于高精度风雨模拟试验系统的斜拉索风雨振试验和分析：[同济大学硕士论文].上海：同济大学土木工程学院，2008
[43]陈文礼，李惠，李凤臣.斜拉索风雨激振水线的超声波测试研究.地震工程与工程振动，2009，29(1)：139-145
[44] Li F C, Chen W L, Li H, et a1. An ultrasonic transmission thickness measurementsystem for study of water rivulets characteristics of stay cables suffering fromwind-rain-induced vibration. Sensors and Actuators A,2010,159:12-23
[45] Wang Z J, Zhou Y, Huang J F, et al. Fluid dynamics around an inclined cylinderwith running water rivulets. Journal of Fluids and Structures,2005,21:49-64
[46] Yamaguchi H. Analytical study on growth mechanism of rain vibration of cable.Journal of Wind Engineering and Industrial Aerodynamics,1990,33:73-80
[47]顾明，刘慈军，徐幼麟等.带人工雨线的拉索在风激励下的响应.应用数学和力学，2002(10)：1047-1054
[48]刘慈军.斜拉桥拉索风致振动研究：[同济大学博士论文].上海：同济大学土木工程学院，1999，12
[49]彭天波.斜拉桥拉索风雨激振的机理研究：[同济大学硕士论文].上海：同济大学土木工程学院，2000，3
[50]彭天波，顾明.斜拉桥拉索风雨激振的机理研究.同济大学学报，2001(1)：35-39
[51]吕强.斜拉桥拉索风雨激振的理论研究：[同济大学硕士论文].上海：同济大学土木工程学院，2001，7
[52] Gu M, Lu Q. Theoretical analysis of wind．rain induced vibration of cables ofcable-stayed bridges. Journal of Wind Engineering and Industrial Aerodynamics,2001,89:125-128
[53]黄麟.斜拉桥拉索风雨激振的稳定性研究：[同济大学硕士论文].上海：同济大学土木工程学院，2002，5
[54]顾明，黄麟，王国砚.水线震荡对斜拉桥拉索风雨激振稳定性的作用.振动工程学报，2004，17(1)：96-101
[55] Gu M, Du X Q, Li S Y. Experimental and theoretical simulations on wind–rain-induced vibration of3-D rigid stay cables. Journal of Sound and Vibration,2009,320:184-200
[56]顾明，杜晓庆.不同风向角下斜拉桥拉索模型测压试验研究.振动与冲击，2005，24(6)：5-8，20
[57]顾明，杜晓庆.带人工雨线的斜拉桥拉索模型测压试验研究.空气动力学学报，2005，23(4)：419-424
[58]杜晓庆，顾明.斜拉索上雨线的气动力特性的试验研究.同济大学学报(自然科学版)，2005，33(5)：585-589
[59]顾明，杜晓庆，李寿英.斜拉桥拉索风雨激振的实验和理论研究.振动工程学报，2007，20(5)：473-479
[60]顾明，李寿英，杜晓庆.斜拉桥拉索风雨激振理论模型和机理研究.空气动力学学报，2007，25(2)：169-174
[61] Gu M. On wind-rain induced vibration of cables of cable-stayed bridges based onquasi-steady assumption. Journal of Wind Engineering and Industrial Aero-dynamics,2009(97):381–391
[62]刘庆宽.斜拉桥斜拉索风雨振时索表面水线摆动作用及规律的试验研究.土木工程学报，2007，40(7)：62-67
[63]刘庆宽，乔富贵，张峰.斜拉索表面水线多相复杂摆动对索气动稳定性的影响.工程力学，2008，25(6)：234-240
[64]刘庆宽，张峰，乔富贵.轴向流对斜拉索气动稳定性影响的试验研究.石家庄铁道学院学报(自然科学版)，2008，21(4)：16-19
[65]孙文峰.基于强迫振动测力的斜拉索风雨激振机理研究：[湖南大学硕士论文].长沙：湖南大学土木工程学院，2011，5
[66]覃虹.斜拉索参数振动、风雨振动及制振措施的研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2004，2
[67]林伟达.斜拉索雨振及其制振措施研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2008，3
[68]吕强，顾明.斜拉桥拉索风雨激振的分析模型.结构工程师，2001，(1)：12-15
[69]顾明，吕强.斜拉桥拉索风雨激振理论分析的一个新方法.土木工程学报，2003，36(6)：47-52
[70]黄麟，郭志明，王国砚等.斜拉桥拉索风雨激振的理论分析.同济大学学报，2002，30(5)：569-572
[71] Gu M, Huang L. Theoretical and experimental studies on the aerodynamicinstability of a two-dimensional circular cylinder with a moving attachment.Journal of Fluid and Structures,2008,24：200-211
[72]顾明，杜晓庆.斜拉桥三维拉索风雨激振准二自由度模型.力学季刊，2004，25(4)：496-501
[73]潘方.斜拉桥拉索风雨激振研究：[同济大学硕士论文].上海：同济大学土木工程学院，2005，3
[74]潘方，顾明.变化外形的水线对斜拉索风雨激振的激发作用.力学季刊，2008，29(3)：391-398
[75] Xu Y L, Wang L Y. Analytical of wind-rain-induced cable vibration. APCWE-5,Journal of Wind Engineering,2001,89:109-112
[76] Xu Y L, Wang L Y. Analytical study of wind-rain-induced cable vibration: SODFmodel. Journal of Wind Engineering and Industrial Aerodynamics,2003,91:27-40
[77] Wang L Y, Xu Y L. Wind-rain-induced vibration of cable: an analytical model(1).International Journal of Solids and Structures,2003,40:1265-1280
[78] Wang L Y. Xu Y L. Analytical study of wind-rain-induced cable vibration: SDOFmodel. Wind and Structures,2003,6:291-306
[79] Wang L Y. Wind-rain-induced vibration and control of stay cables in cable-stayedbridges.[香港理工大学博士论文].香港：香港理工大学工业与民用建筑工程学院，2005，3
[80]王凌云，徐幼麟.斜拉桥斜拉索的风雨振动：参数研究.工程力学，2009，26(7)：147-154
[81] Wilde K, Witkowski W. Simple model of rain-wind-induced vibrations of stayedcables. Journal of Wind Engineering and Industrial Aerodynamics,2003,91:873-891
[82]何向东，廖海黎.斜拉索风雨振动分析及机理初探.空气动力学学报，2005，23(4)：480-483，495
[83] Cosentino N, Flamand O, Ceccoli C. Rain-wind induced vibration of inclined staycables. Part Ⅱ: Mechanical modeling and parameter characterization. Wind andStructures,2003,6:485-498
[84] A. H. P. van der Burgh, Hartono. Rain-wind-induced vibrations of simpleoscillator. International Journal of Non-Linear Mechanics,2003,39:93-100
[85] A. H. P. van der Burgh, Hartono, Abramian A K. A new model for the study ofrain-wind-induced vibrations of a simple oscillator. International Journal ofNon-linear Mechanics,2006,41:345-358
[86] Peil U, Nahrath N. Modeling of rain-wind induced vibrations. Wind and Structure,2003,16:41-52
[87] Peil U, Nahrath N. Modeling of rain-wind induced vibrations.11ICWE, USA,2003
[88] Cao D Q, Tucker R W, Wang C. A stochastic approach to cable dynamics withmoving rivulets. Journal of Sound and Vibration,2003,268:291-304
[89] Burton D, Cao D Q, Tucker R W, et al. On the stability of cables under light windand rain conditions. Journal of Sound and Vibration,2005,279:89-117
[90]马星，仲政，胡瑞龙.斜拉索风雨激振空间模型.同济大学学报(自然科学版)，2003，31(8)：895-898
[91]徐刚，王靖夫，任文敏.斜拉桥拉索风雨激振机理探讨.工程力学，2004，21(3)：44-48
[92]刘习军，王霞，贾启芬等.斜拉桥拉索的风雨激励振动特性.天津大学学报，2005，38(8)：674-678
[93]王霞.斜拉桥拉索系统风致振动的研究：[天津大学硕士论文].天津：天津大学机械工程学院，2005，1
[94] Seidel C, Dinkler D. Rain-wind induced vibrations–phenomenology, mechanicalmodeling and numerical analysis. Computers and Structures,2006,84:1584-1595
[95]李寿英.斜拉桥拉索风雨激振机理及其控制理论研究：[同济大学博士论文].上海：同济大学航空航天与力学学院，2005，5
[96]李寿英，顾明，陈政清.准运动水线三维连续弹性拉索风雨激振理论模型.工程力学，2007，24(6)：7-14
[97]李寿英，陈政清，顾明.斜拉桥拉索风雨激振的两质量三自由度理论模型.土木工程学报，2007，40(10)：60-66
[98]李寿英，陈政清，顾明.斜拉索风雨激振中拉索和水线之间的耦合运动.振动与冲击，2008，27(10)：1-5
[99]李寿英，顾明，陈政清.运动水线三维连续弹性拉索风雨激振理论模型.湖南大学学报(自然科学版)，2009，36(2)：1-7
[100]Peil U, Dreyer O. Rain-wind induced vibration of cables in laminar and turbulentflow. Wind and Structures,2007,10:83-97
[101]张翠英，何学军，骆素培.斜拉索风雨激振的非线性理论研究.科学技术与工程，2007，7(20)：5331-5334，5338
[102]张琪昌，张翠英，何学军.索结构风雨振局部分岔.天津大学学报，2008，41(12)：1405-1410
[103]何学军，张琪昌，赵德敏.索结构风雨振的周期运动及混沌运动动力学.吉林大学学报(工学版)，2009，39(3)：679-685
[104]李伟义，张琪昌，何学军.斜拉索风雨激振面内运动的非线性分析.天津大学学报，2010，43(2)：156-160
[105]张琪昌，李伟义，王炜.斜拉索风雨激振的动力学行为研究.振动与冲击，2010，29(4)：173-176
[106]孙黎军.斜拉索风雨激振理论研究：[天津大学硕士论文].天津：天津大学机械工程学院，2007，7
[107]李伟义.连续体斜拉索风雨激振的非线性研究：[天津大学硕士论文].天津：天津大学机械工程学院，2008，5
[108]陈锐林，曾庆元.斜拉桥拉索风雨诱导混沌振动.振动与冲击，2008，27(7)：42-46
[109]赵津扬.斜拉桥拉索风雨激振的有限元分析：[天津大学硕士论文].天津：天津大学机械工程学院，2008，6
[110]殷殿国.斜拉桥拉索风-雨致振动特性研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2009，5
[111]Rocchi D, Zasso A. Vortex shedding from a circular cylinder in a smooth andwired configuration: comparison between3D LES simulation and experimentalanalysis. Journal of Wind Engineering and Industrial Aerodynamics,2002,90:475-489
[112]李寿英，顾明.带固定人工水线拉索绕流的数值模拟.同济大学学报(自然科学版)，2004，32(10)：1334-1338
[113]李寿英，顾明.斜、直圆柱绕流的CFD模拟.空气动力学学报，2005，23(2)：222-227
[114]李寿英，顾明.带固定人工水线三维斜拉索绕流的数值模拟.同济大学学报(自然科学版)，2005，33(5)：590-594
[115]Lemaitre C, Alam M M, Hémon P, et al. Rainwater rivulets on a cable subject towind. Comptes Rendus Mecanique,2006,334:158-163
[116]Lemaitre C, Hémon P, Langre E. Thin water film around a cable subject to wind.Journal of Wind Engineering and Industrial Aerodynamics,2007,95：1259-1271
[117]Lemaitre C, Langre E, Hémon P. Rainwater rivulets running on a stay cablesubject to wind. European Journal of Mechanics B/Fluids,2010:29:251-258
[118]刘庆宽.用LES方法对斜拉桥斜拉索风雨激振的机理的研究.工程力学，2007，24(9)：134-139
[119]Liu Q K, Matsumoto M, Yagi T, et a1. LES study on the mechanism of rain-windinduced vibration of cables of cable-stayed bridge. In: Proceedings of the12thInternational Conference on Wind Engineering. Australia: Cairns,2007,895-902
[120]Robertson A C, Taylor I J. Effect of rivulets on a circular cylinder using a2Ddiscrete vortex method. In: Proceedings of the12th International Conference onWind Engineering. Australia: Cairns,2007,863-870
[121]Robertson A C, Taylor I J, Wilson S K, et al. Numerical simulation of rivuletevolution on a horizontal cable subject to an external aerodynamic field. Journal ofFluids and Structures,2010,26:50-73
[122]Taylor I J, Robertson A C. Numerical simulation of the airflow–rivulet interactionassociated with the rain-wind induced vibration phenomenon. Journal of WindEngineering and Industrial Aerodynamics.2011,99:931-944
[123]Li H, Chen W L, Xu F, et al. A numerical and experimental hybrid approach forthe investigation of aerodynamic forces on stay cables suffering from rain-windinduced vibration. Journal of Fluids and Structures,2010,26:1195-1215
[124]Parkinson G V. Phenomena and modelling of flow-induced vibrations of bluffbodies. Progress in Aerospace Science.1989,26(2):169-224
[125]Yeo D H, Jones N P. Computational study on aerodynamic mitigation ofwind-induced, large-amplitude vibrations of stay cables with strakes. Journal ofWind Engineering and Industrial Aerodynamics,2011,99(4):389-399
[126]刘庆宽.斜拉索风雨振研究现状和尚待解决的问题.石家庄铁道大学学报(自然科学版)，2010，23(2)：53-58，116
[127]Matsumoto M, Yagi T, Sakai S, et a1. Steady wind force coefficients of inclinedstay cables with water rivulet and their application to aerodynamics. Wind andStructures,2005,8(2):107-120
[128]Matsumoto M, Yagi T, Goto M, et a1. Rain-wind-induced vibration of inclinedcables at limited high reduced wind velocity region. Journal of Wind Engineeringand Industrial Aerodynamics,2003,91:1-12
[129]Cheng S, Irwin P A, Jakobsen J B, et a1. Divergent motion of cables exposed toskewed wind. In: Proceeding of the5th International Symposium on CableDynamics. Italy: Santa Margherita Ligure,2003,271-278
[130]Matsumoto M, Yagi T, Liu Q K, et a1. Effects of axial flow and Karman vortexinterference on dry-state galloping of inclined stay-cables. In: Proceeding of the6th International Symposium on Cable Dynamics. U.S.A: Charleston, SouthCarolina,2005,247-254
[131]Kobayashi H, Minami Y, Mike M. Prevention of rain-wind induced vibration ofan inclined cable by surface processing. In:9th International Conference on WindEng. India: New Delhi,1995,753
[132]Virlogeux M. Recent evolution of cable-stayed bridges. Engineering Structures,1999,21:737-755
[133]Kleissl K, Georgakis C T. Aerodynamic control of bridge cables through shapemodification: A preliminary study. Journal of Fluids and Structures,2011,27:1006-1020
[134]Yamaguchi H, Nagahawatta H D. Damping effects of cable cross ties incable-stayed bridges. Journal of Wind Engineering and Industrial Aerodynamics,1995,54-55:35-43
[135]Chen Z Q, Wang X Y, Ko J M, et a1. MR damping system for mitigatingwind-rain induced vibration on Dongting Lake Cable-Stayed Bridge. Wind andStructures,2004,7(5):293-304
[136]王修勇，陈政清，何旭辉等.洞庭湖大桥风雨振减振试验研究.桥梁建设，2002，(2)：11-14
[137]王修勇，陈政清，何旭辉等.斜拉桥拉索风雨振控制的智能阻尼技术.振动与冲击，2002，21(3)：26-30，5.
[138]王修勇，陈政清，高赞明等.磁流变阻尼器对斜拉索振动控制研究.工程力学，2002，19(6)：22-28，48
[139]何旭辉，陈政清，黄万林等. MR阻尼器在抑制斜拉桥拉索风雨振中的应用研究.湖南大学学报(自然科学版)，2002，29(3)：91-95
[140]王修勇，陈政清，倪一清等.磁流变阻尼器在斜拉索减振中的应用.机械强度，2002，24(4)：477-480
[141]王修勇，陈政清，倪一清等.斜拉桥拉索风雨振观测及其控制.土木工程学报，2003，36(6)：53-59
[142]陈政清，刘光栋.桥梁风工程研究的若干新进展.工程力学，2006，23增刊II：93-111
[143]陈政清，曹宏，禹见达等．磁流变阻尼器在洪山大桥拉索减振中的应用.中南公路工程，2005，30(4)：27-30，103
[144]禹见达，陈政清，曹宏等.永磁调节式MR阻尼器试验研究及工程应用.振动工程学报，2006，19(4)：532-536
[145]禹见达，陈政清，王修勇等.磁流变阻尼器与拉索振动控制研究.功能材料，2006，37(5)：823-826
[146]禹见达，陈政清，王修勇等.磁流变阻尼器的非线性参数模型.振动与冲击，2007，26(4)：14-17
[147]禹见达．磁流变阻尼器对斜拉桥拉索振动控制的理论与试验研究：[湖南大学博士论文].长沙：湖南大学土木工程学院，2007,11
[148]黄祖洽，丁鄂江.物理学前沿丛书——表面浸润和浸润相变.上海：上海科学技术出版社，1994
[149]Young T. Miscellaneous works. Vol. I. London: John Murray,1855
[150]文书明.微流边界层理论及其应用.北京：冶金工业出版社，2002
[151]张兆顺，崔桂香.流体力学.北京：清华大学出版社，1999
[152]王力力，易伟建.斜拉索的腐蚀案例与分析.中南公路工程，2007，32(1)：93-98
[153]叶觉明，钟建驰.桥梁缆索系统的腐蚀与防护.钢结构，2005，20(2)：85-89
[154]叶觉明，欧阳恺.氟涂料在桥梁钢结构腐蚀防护中的应用.现代涂料与涂装，2005，8(2)：32-34.
[155]亚当森A W.表面的物理化学[M].北京：科学出版社，1984
[156]黄月文，刘伟区.含氟硅涂料的制备与性能研究.电镀与涂饰，2005，24(10)：24-27
[157]余永生，魏庆鼎.疏水性材料减阻特性实验研究.实验流体力学，2005，19(2)：60-66
[158]蔡洪光，张春雨，陈斌等.一种具有超疏水性质的聚乙烯纳米复合材料.2005年全国高分子学术论文报告会，北京，2005
[159]段辉，熊征蓉，汪厚植等.超疏水性涂层的研究进展.化学工业与工程，2006，23(1)：81-87
[160]任淑琰，顾明.斜拉桥拉索静力构形分析.同济大学学报(自然科学版)，2005，33(5)：595-599
[161]项海帆，鲍卫刚，陈艾荣等.公路桥梁抗风设计规范(JTG/T D60-01—2004).北京：人民交通出版社，2004
[162]陈政清，柳成荫，倪一清等.洞庭湖大桥拉索风雨振中的风场参数.铁道科学与工程学报，2004，1(1)：52-57
[163]Simiu E. Wind spectra and dynamic along wind response. Journal of StructuralDivision, ASCE,1974,100(9):1897-1910
[164]Davenport A G. The spectrum of horizontal gustiness near the ground in highwinds. Quarterly Journal of the Royal Meteorological Society,1961,87:194-211
[165]Von Karman T. Progress in the statistical theory of turbulence. In: Proceedings ofNational Academy of Science. U.S.A.: Washington D. C.,1948,530-539
[166]Solari G, Piccardo G. Probabilistic3-D turbulence modeling for gust buffeting ofstructures. Probabilistic Engineering Mechanics,2001,16:73-86
[167]Kaimal J C, Wyngaard J C, Izumi Y. Spectral characteristics of surface-layerturbulence. Quarterly Journal of the Royal Meteorological Society,1972,98:563-589
[168]Lumley J L, Panofsky H A. The Structure of Atmospheric Turbulence. New York:Wiley,1964
[169]罗俊杰，韩大建.大跨结构三维随机脉动风场的模拟方法.振动与冲击，2008，27(3)：87-91
[170]Davenport A G. The dependence of wind load upon meteorological parameters. In:Proceedings of the International Research Seminar on Wind Effects on Buildingsand Structures. Canada: University of Toronto Press, Toronto,1968,19-82
[171]Vickery B J. On the reliability of gust loading factors. Proceedings of thetechnical meeting concerning wind loads on buildings and structures. U.S.A.:National Bureau of Standards, Building Science Series30, Washington D. C.,1970,93-104
[172]Panofsky H A, Thomson D W, Sullivan D A, et al. Two-Point Velocity Statisticsover Lake Ontario. Boundary-Layer Meteorol,1974,7:309-321
[173]Rice S O. Mathematic analysis of random noise. Selected papers on noise andstochastic processes, N. Wax. ed., Dover publish Inc., New York, N. Y.,1954
[174]Borgman L E, Zahlten W. Ocean wave simulation for engineering design. Journalof Waterways and Harbors Division, ASCE,1969,95(4):557-583
[175]Shinozuka M. Simulation of multivariate and multidimensional random processes.Journal of the Acoustical Society of America,1971,49(1):357-368
[176]Shinozuka M, Jan C M. Digital simulation of random process and its application.Journal of Sound and Vibration,1972,25(1):111-128
[177]Shinozuka M. Digital simulation of random processes in engineering mechanicswith the aid of FFT technique. Stochastic Problems in Mechanics, University ofWaterloo Press, Waterloo, Canada,1974,277-286
[178]Shinozuka M. Simulation of stochastic processes by spectral respresentation.Applied Mechanics Review,1991,44(4):191-203
[179]Shinozuka M, Kamata M, Yan C B. Simulation of earthquake ground motion asmulti-variate stochastic processes. Tech. Rep. No.1989,5. Princeton-Kajima JointRas., Dept. of Civ. Engrg. and Operation Res., Princeton University, Princeton, N.J.1989
[180]Shinozuka M, Yan C B, Seya H. Stochastic methods in wind engineering. Journalof Wind Engineering and Industrial Aerodynamics,1990,36:829-843
[181]Deodatis G. Simulation of ergodic multivariate stochastic process. Journal ofEngineering Mechanics, ASCE,1996,122(8):778-787
[182]Yang J N. Simulation of random envelope processes. Journal of Sound andVibration,1972,25(1):73-58
[183]Yang J N. On the normality and accuracy of simulated random processes. Journalof Sound and Vibration,1973,26(3):417-428
[184]曹映泓.大跨度桥梁非线性颤振和抖振时程分析：[同济大学博士论文].上海：同济大学土木工程学院，1999
[185]Cao Y H, Xiang H F, Zhou Y. Simulation of stochastic wind velocity field onlong-span bridges. Journal of Engineering Mechanics, ASCE,2000,126(1):1-6
[186]陈建平，Wasniewski J. Cholesky分解递归算法与改进.计算机研究与发展，2001，38(8)：923-926
[187]罗俊杰，韩大建.谐波合成法模拟随机风场的优化算法.华南理工大学学报(自然科学版)，2007，35(7)：105-109
[188]丁泉顺.大跨度桥梁耦合颤抖振响应的精细化分析：[同济大学博士论文].上海：同济大学土木工程学院，2001，8
[189]丁泉顺，陈艾荣，项海帆.大跨度桥梁空间脉动风场的计算机模拟.力学季刊，2006，27(2)：184-189.
[190]罗俊杰，韩大建.大跨度结构随机脉动风场的快速模拟方法.工程力学，2008，25(3)：96-101
[191]李黎，胡亮，樊剑等.具有桥塔风效应的桥梁风场数值模拟.振动与冲击，2007，26(5)：14-18
[192]Paola M D. Digital simulation of wind field velocity. Journal of WindEngineering and Industrial Aerodynamics,1998,74-76:91-109
[193]Chen X, Kareem A. Proper orthogonal decomposition-based modeling analysisand simulation of dynamic wind load effects on structures. Journal of EngineeringMechanics, ASCE,2005,131(4):325-339
[194]Paola M D, Gullo I. Digital generation of multivariate wind field processes.Probabilistic Engineering Mechanics,2001,16(1):1-10
[195]Ding Q S, Zhu L D, Xiang H F. Simulation of stationary Gussian stochastic windvelocity field. Journal of Wind and Structures.2006,9(3):231-243
[196]Gerch W, Yonemoto J. Synthesis of multi-variate random vibration systems: atwo-stage least squares ARMA model approach. Journal of Sound and Vibration,1977,52(4):553-565
[197]Yamada M, Ohkitani K. Orthonormal wavelet analysis of turbulence. FluidDynamics Research,1991,8:101-115
[198]Kitagawa T, Nomura T. A wavelet-based method to generate artificial windfluctuation data. Journal of Wind Engineering and Industrial Aerodynamics,2003,90:943-964
[199]王毅，陈艾荣.基于小波方法的随机脉动风模拟.第11届全国结构风工程学术会议论文集(三亚)，2003，91-96
[200]周岱，马骏，吴筑海等.空间结构三维风时程模拟及其小波分析.工程力学，2006，23(3)：88-92
[201]韩艳，陈政清.利用小波分析逆变换模拟随机风场的脉动风.振动工程学报，2007，20(1)：52-56
[202]Jakob M. Wind field simulation. Probabilistic Engineering Mechanics,1998,13(4):269-282
[203]Panofsky H A, Dutton J A. Atmospheric turbulence. New York: John Wiley andSons,1984
[204]Giuliano A. Simulation of wind loading and response of geometrically non-linearstructures with particular reference to large antennas. Structural Safety,1990(8):161-179
[205]何旭辉，陈政清，李春光等.斜拉索风雨振非平稳风场特性分析.振动与冲击，2011，30(10)：54-60
[2] Hikami Y, Shiraishi N. Rain-wind induced vibrations of cables in cable stayedbridges. Journal of Wind Engineering and Industrial Aerodynamics,1988,29:409-4l8
[3] Poston R, Cable-stayed Conundrum. Civil Engineering,1998(8):58-61
[4] Persoon A J, Noorlander K. Full-scale measurements on the Erasmus Bridge afterrain/wind induced cable vibrations. In: Wind Engineering into the21st Century.Balkema: Rotterdam,1999,1019-1026
[5]顾明，刘慈军，罗国强等.斜拉桥拉索的风(雨)激振及控制.上海力学，1998，19(4)：283-288
[6]陈政清.桥梁风工程.第一版.北京：人民交通出版社，2005
[7] Matsumoto M, Yagi T, Hatsuda H, et a1. Dry galloping characteristics and itsmechanism of inclined/yawed cables. Journal of Wind Engineering and IndustrialAerodynamics,2010,98:317-327
[8] Saul R, Hohle H W. Damages of stay cables and prevention theory. In: Bridgeinto21st century. Hong Kong,1995,531-538
[9]埃米尔．希缪，罗伯特．H．斯坎伦著，刘尚培等译.风对结构的作用—风工程导论.上海：同济大学出版社，1992
[10] Den Hartog J P. Transmission line vibration due to sleet. AIEE Transaction.1932,51
[11]项海帆，葛耀君，朱乐东.特大桥梁颤振和抖振精细化理论.第十五届全国结构风工程学术会议暨第一届全国风工程研究生论坛论文集(杭州).北京：人民交通出版社，2011，3-11
[12] Matsumoto M, Shiraishi N. Rain-wind induced vibrations of cables ofcable-stayed bridge. Journal of Wind Engineering and Industrial Aerodynamics,1992,41-43:201l-2022
[13] Matsumoto M, Saitoh T, Kitazawa M, et a1. Response characteristics of rain-windinduced vibration of stay-cable of cable-stayed bridges. Journal of WindEngineering and Industrial Aerodynamics,1995,57:323-333
[14] Matsumoto M, Yagi T, Shigemur Y, et a1. Vortex-induced cable vibration ofcable-stayed bridges at high reduced wind velocity. Journal of Wind Engineeringand Industrial Aerodynamics,2001,89:633-647
[15]王修勇.斜拉桥拉索振动控制新技术研究：[中南大学博士论文].长沙：中南大学，2002
[16]柳成荫.斜拉桥拉索风雨激振的环境与振动特性观测研究：[中南大学硕士论文].长沙：中南大学，2004
[17]陈政清.斜拉索风雨振现场观测与振动控制.建筑科学与工程学报，2005，22(4)：5-10
[18]胡建华，王修勇，陈政清等.斜拉索风雨振响应特性.中国公路学报，2006，19(3)：41-48
[19] Ni Y Q, Wang X Y, Chen Z Q, et a1. Field observations of rain-wind-inducedcable vibration in cable-stayed Dongting Lake Bridge. Journal of WindEngineering and Industrial Aerodynamics,2007,95:303-328
[20] Matsumoto M, Shirato H, Yagi T, et al. Field observation of the full-scale wind-induced cable vibration. Journal of Wind Engineering and IndustrialAerodynamics,2003,91:13-26
[21] Yamaguchi H, Manabe Y, Sasaki N, et al. Field observation and vibration test ofthe Tatara Bridge. In: IABSE Conference. Sweden,1999
[22] Main J A, Jones N P. Full-scale measurements of stay cable vibration. In:10thInternational Conference on Wind Engineering, Copenhagen Denmark,1999,963-970
[23] Zou D. Understanding wind-and rain-wind-induced stay cable vibrations：[TheJohns Hopkins University博士论文].美国：The Johns Hopkins University，2005，5
[24] Zuo D, Jones N P, Main J A. Field observation of vortex-and rain-wind-inducedstay-cable vibrations in a three-dimensional environment. Journal of WindEngineering and Industrial Aerodynamics,2008,96(6-7):1124-1133
[25] Zou D, Jones N P. Interpretation of field observation of wind-and rain-wind-induced stay cable vibration. Journal of Wind Engineering and IndustrialAerodynamics,2010,98:73-87
[26] Matsumoto M, Shiraishi N, Kitazawa M, et al. Aerodynamic behavior of inclinedcircular cylinders-cable aerodynamics. Journal of Wind Engineering and IndustrialAerodynamics,1990,33:63-72
[27] Flamand O. Rain-wind induced vibration of cables. Journal of Wind Engineeringand Industrial Aerodynamics,1995,57:353-362
[28] Bosdogianni A, Olivari D. Wind-and rain-induced oscillations of cable of stayedbridge. Journal of Wind Engineering and Industrial Aerodynamics,1996,64:171-185
[29] Verwiebe C, Rucheweyh H. Recent research results concerning the excitingmechanisms of rain-wind-induced vibrations. Journal of Wind Engineering andIndustrial Aerodynamics,1998,74-76:1005-1013
[30]杜晓庆.斜拉桥拉索风雨激振研究：[同济大学博士论文].上海：同济大学土木工程学院，2003
[31]杜晓庆，顾明，全涌.斜拉桥拉索风雨激振控制的试验研究.同济大学学报(自然科学版)，2003，31(11)：1266-1269，1279
[32]顾明，杜晓庆.模拟降雨条件下斜拉桥拉索风雨激振及控制的试验研究.土木工程学报，2004，37(7)：101-105
[33] Gu M, Du X Q. Experimental investigation of rain-wind-induced vibration ofcables in cable-stayed bridges and its mitigation. Journal of Wind Engineering andIndustrial Aerodynamics,2005,93:79-95
[34]李文勃，林志兴.斜拉桥拉索风雨激振研究的试验设计.长安大学学报(自然科学版)，2003，23(2)：57-60
[35]李文勃，林志兴.斜拉桥拉索风雨激振的试验研究.郑州大学学报(工学版)，2005，26(1)：33-37
[36]李文勃，林志兴，杨立波.超长斜拉索风阻系数及风雨激振的试验研究.振动、测试与诊断，2005，25(2)：85-90，152
[37]李文勃，林志兴.抑制斜拉桥拉索风雨激振的气动措施研究.土木工程学报，2005，38(5)：48-53
[38]李文勃.斜拉桥拉索三维风雨激振及静风荷载研究：[同济大学博士论文].上海：同济大学土木工程学院，2007
[39]李永乐，卢伟，陶齐宇等.斜拉桥拉索风-雨致振动特性风洞试验研究.试验流体力学，2007，21(4)：36-40，44
[40] Zhan S, Xu Y L, Zhou H J, et a1. Experimental study of wind-rain-induced cablevibration using a new model setup scheme. Journal of Wind Engineering andIndustrial Aerodynamics,2008,96:2438-2451
[41] Cosentino N, Flamand O. Rain-wind induced vibration of inclined stay cables.Part I: Experimental investigation and physical explanation. Wind and Structures,2003,6(6):471-484
[42]许林汕.基于高精度风雨模拟试验系统的斜拉索风雨振试验和分析：[同济大学硕士论文].上海：同济大学土木工程学院，2008
[43]陈文礼，李惠，李凤臣.斜拉索风雨激振水线的超声波测试研究.地震工程与工程振动，2009，29(1)：139-145
[44] Li F C, Chen W L, Li H, et a1. An ultrasonic transmission thickness measurementsystem for study of water rivulets characteristics of stay cables suffering fromwind-rain-induced vibration. Sensors and Actuators A,2010,159:12-23
[45] Wang Z J, Zhou Y, Huang J F, et al. Fluid dynamics around an inclined cylinderwith running water rivulets. Journal of Fluids and Structures,2005,21:49-64
[46] Yamaguchi H. Analytical study on growth mechanism of rain vibration of cable.Journal of Wind Engineering and Industrial Aerodynamics,1990,33:73-80
[47]顾明，刘慈军，徐幼麟等.带人工雨线的拉索在风激励下的响应.应用数学和力学，2002(10)：1047-1054
[48]刘慈军.斜拉桥拉索风致振动研究：[同济大学博士论文].上海：同济大学土木工程学院，1999，12
[49]彭天波.斜拉桥拉索风雨激振的机理研究：[同济大学硕士论文].上海：同济大学土木工程学院，2000，3
[50]彭天波，顾明.斜拉桥拉索风雨激振的机理研究.同济大学学报，2001(1)：35-39
[51]吕强.斜拉桥拉索风雨激振的理论研究：[同济大学硕士论文].上海：同济大学土木工程学院，2001，7
[52] Gu M, Lu Q. Theoretical analysis of wind．rain induced vibration of cables ofcable-stayed bridges. Journal of Wind Engineering and Industrial Aerodynamics,2001,89:125-128
[53]黄麟.斜拉桥拉索风雨激振的稳定性研究：[同济大学硕士论文].上海：同济大学土木工程学院，2002，5
[54]顾明，黄麟，王国砚.水线震荡对斜拉桥拉索风雨激振稳定性的作用.振动工程学报，2004，17(1)：96-101
[55] Gu M, Du X Q, Li S Y. Experimental and theoretical simulations on wind–rain-induced vibration of3-D rigid stay cables. Journal of Sound and Vibration,2009,320:184-200
[56]顾明，杜晓庆.不同风向角下斜拉桥拉索模型测压试验研究.振动与冲击，2005，24(6)：5-8，20
[57]顾明，杜晓庆.带人工雨线的斜拉桥拉索模型测压试验研究.空气动力学学报，2005，23(4)：419-424
[58]杜晓庆，顾明.斜拉索上雨线的气动力特性的试验研究.同济大学学报(自然科学版)，2005，33(5)：585-589
[59]顾明，杜晓庆，李寿英.斜拉桥拉索风雨激振的实验和理论研究.振动工程学报，2007，20(5)：473-479
[60]顾明，李寿英，杜晓庆.斜拉桥拉索风雨激振理论模型和机理研究.空气动力学学报，2007，25(2)：169-174
[61] Gu M. On wind-rain induced vibration of cables of cable-stayed bridges based onquasi-steady assumption. Journal of Wind Engineering and Industrial Aero-dynamics,2009(97):381–391
[62]刘庆宽.斜拉桥斜拉索风雨振时索表面水线摆动作用及规律的试验研究.土木工程学报，2007，40(7)：62-67
[63]刘庆宽，乔富贵，张峰.斜拉索表面水线多相复杂摆动对索气动稳定性的影响.工程力学，2008，25(6)：234-240
[64]刘庆宽，张峰，乔富贵.轴向流对斜拉索气动稳定性影响的试验研究.石家庄铁道学院学报(自然科学版)，2008，21(4)：16-19
[65]孙文峰.基于强迫振动测力的斜拉索风雨激振机理研究：[湖南大学硕士论文].长沙：湖南大学土木工程学院，2011，5
[66]覃虹.斜拉索参数振动、风雨振动及制振措施的研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2004，2
[67]林伟达.斜拉索雨振及其制振措施研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2008，3
[68]吕强，顾明.斜拉桥拉索风雨激振的分析模型.结构工程师，2001，(1)：12-15
[69]顾明，吕强.斜拉桥拉索风雨激振理论分析的一个新方法.土木工程学报，2003，36(6)：47-52
[70]黄麟，郭志明，王国砚等.斜拉桥拉索风雨激振的理论分析.同济大学学报，2002，30(5)：569-572
[71] Gu M, Huang L. Theoretical and experimental studies on the aerodynamicinstability of a two-dimensional circular cylinder with a moving attachment.Journal of Fluid and Structures,2008,24：200-211
[72]顾明，杜晓庆.斜拉桥三维拉索风雨激振准二自由度模型.力学季刊，2004，25(4)：496-501
[73]潘方.斜拉桥拉索风雨激振研究：[同济大学硕士论文].上海：同济大学土木工程学院，2005，3
[74]潘方，顾明.变化外形的水线对斜拉索风雨激振的激发作用.力学季刊，2008，29(3)：391-398
[75] Xu Y L, Wang L Y. Analytical of wind-rain-induced cable vibration. APCWE-5,Journal of Wind Engineering,2001,89:109-112
[76] Xu Y L, Wang L Y. Analytical study of wind-rain-induced cable vibration: SODFmodel. Journal of Wind Engineering and Industrial Aerodynamics,2003,91:27-40
[77] Wang L Y, Xu Y L. Wind-rain-induced vibration of cable: an analytical model(1).International Journal of Solids and Structures,2003,40:1265-1280
[78] Wang L Y. Xu Y L. Analytical study of wind-rain-induced cable vibration: SDOFmodel. Wind and Structures,2003,6:291-306
[79] Wang L Y. Wind-rain-induced vibration and control of stay cables in cable-stayedbridges.[香港理工大学博士论文].香港：香港理工大学工业与民用建筑工程学院，2005，3
[80]王凌云，徐幼麟.斜拉桥斜拉索的风雨振动：参数研究.工程力学，2009，26(7)：147-154
[81] Wilde K, Witkowski W. Simple model of rain-wind-induced vibrations of stayedcables. Journal of Wind Engineering and Industrial Aerodynamics,2003,91:873-891
[82]何向东，廖海黎.斜拉索风雨振动分析及机理初探.空气动力学学报，2005，23(4)：480-483，495
[83] Cosentino N, Flamand O, Ceccoli C. Rain-wind induced vibration of inclined staycables. Part Ⅱ: Mechanical modeling and parameter characterization. Wind andStructures,2003,6:485-498
[84] A. H. P. van der Burgh, Hartono. Rain-wind-induced vibrations of simpleoscillator. International Journal of Non-Linear Mechanics,2003,39:93-100
[85] A. H. P. van der Burgh, Hartono, Abramian A K. A new model for the study ofrain-wind-induced vibrations of a simple oscillator. International Journal ofNon-linear Mechanics,2006,41:345-358
[86] Peil U, Nahrath N. Modeling of rain-wind induced vibrations. Wind and Structure,2003,16:41-52
[87] Peil U, Nahrath N. Modeling of rain-wind induced vibrations.11ICWE, USA,2003
[88] Cao D Q, Tucker R W, Wang C. A stochastic approach to cable dynamics withmoving rivulets. Journal of Sound and Vibration,2003,268:291-304
[89] Burton D, Cao D Q, Tucker R W, et al. On the stability of cables under light windand rain conditions. Journal of Sound and Vibration,2005,279:89-117
[90]马星，仲政，胡瑞龙.斜拉索风雨激振空间模型.同济大学学报(自然科学版)，2003，31(8)：895-898
[91]徐刚，王靖夫，任文敏.斜拉桥拉索风雨激振机理探讨.工程力学，2004，21(3)：44-48
[92]刘习军，王霞，贾启芬等.斜拉桥拉索的风雨激励振动特性.天津大学学报，2005，38(8)：674-678
[93]王霞.斜拉桥拉索系统风致振动的研究：[天津大学硕士论文].天津：天津大学机械工程学院，2005，1
[94] Seidel C, Dinkler D. Rain-wind induced vibrations–phenomenology, mechanicalmodeling and numerical analysis. Computers and Structures,2006,84:1584-1595
[95]李寿英.斜拉桥拉索风雨激振机理及其控制理论研究：[同济大学博士论文].上海：同济大学航空航天与力学学院，2005，5
[96]李寿英，顾明，陈政清.准运动水线三维连续弹性拉索风雨激振理论模型.工程力学，2007，24(6)：7-14
[97]李寿英，陈政清，顾明.斜拉桥拉索风雨激振的两质量三自由度理论模型.土木工程学报，2007，40(10)：60-66
[98]李寿英，陈政清，顾明.斜拉索风雨激振中拉索和水线之间的耦合运动.振动与冲击，2008，27(10)：1-5
[99]李寿英，顾明，陈政清.运动水线三维连续弹性拉索风雨激振理论模型.湖南大学学报(自然科学版)，2009，36(2)：1-7
[100]Peil U, Dreyer O. Rain-wind induced vibration of cables in laminar and turbulentflow. Wind and Structures,2007,10:83-97
[101]张翠英，何学军，骆素培.斜拉索风雨激振的非线性理论研究.科学技术与工程，2007，7(20)：5331-5334，5338
[102]张琪昌，张翠英，何学军.索结构风雨振局部分岔.天津大学学报，2008，41(12)：1405-1410
[103]何学军，张琪昌，赵德敏.索结构风雨振的周期运动及混沌运动动力学.吉林大学学报(工学版)，2009，39(3)：679-685
[104]李伟义，张琪昌，何学军.斜拉索风雨激振面内运动的非线性分析.天津大学学报，2010，43(2)：156-160
[105]张琪昌，李伟义，王炜.斜拉索风雨激振的动力学行为研究.振动与冲击，2010，29(4)：173-176
[106]孙黎军.斜拉索风雨激振理论研究：[天津大学硕士论文].天津：天津大学机械工程学院，2007，7
[107]李伟义.连续体斜拉索风雨激振的非线性研究：[天津大学硕士论文].天津：天津大学机械工程学院，2008，5
[108]陈锐林，曾庆元.斜拉桥拉索风雨诱导混沌振动.振动与冲击，2008，27(7)：42-46
[109]赵津扬.斜拉桥拉索风雨激振的有限元分析：[天津大学硕士论文].天津：天津大学机械工程学院，2008，6
[110]殷殿国.斜拉桥拉索风-雨致振动特性研究：[西南交通大学硕士论文].成都：西南交通大学桥梁工程系，2009，5
[111]Rocchi D, Zasso A. Vortex shedding from a circular cylinder in a smooth andwired configuration: comparison between3D LES simulation and experimentalanalysis. Journal of Wind Engineering and Industrial Aerodynamics,2002,90:475-489
[112]李寿英，顾明.带固定人工水线拉索绕流的数值模拟.同济大学学报(自然科学版)，2004，32(10)：1334-1338
[113]李寿英，顾明.斜、直圆柱绕流的CFD模拟.空气动力学学报，2005，23(2)：222-227
[114]李寿英，顾明.带固定人工水线三维斜拉索绕流的数值模拟.同济大学学报(自然科学版)，2005，33(5)：590-594
[115]Lemaitre C, Alam M M, Hémon P, et al. Rainwater rivulets on a cable subject towind. Comptes Rendus Mecanique,2006,334:158-163
[116]Lemaitre C, Hémon P, Langre E. Thin water film around a cable subject to wind.Journal of Wind Engineering and Industrial Aerodynamics,2007,95：1259-1271
[117]Lemaitre C, Langre E, Hémon P. Rainwater rivulets running on a stay cablesubject to wind. European Journal of Mechanics B/Fluids,2010:29:251-258
[118]刘庆宽.用LES方法对斜拉桥斜拉索风雨激振的机理的研究.工程力学，2007，24(9)：134-139
[119]Liu Q K, Matsumoto M, Yagi T, et a1. LES study on the mechanism of rain-windinduced vibration of cables of cable-stayed bridge. In: Proceedings of the12thInternational Conference on Wind Engineering. Australia: Cairns,2007,895-902
[120]Robertson A C, Taylor I J. Effect of rivulets on a circular cylinder using a2Ddiscrete vortex method. In: Proceedings of the12th International Conference onWind Engineering. Australia: Cairns,2007,863-870
[121]Robertson A C, Taylor I J, Wilson S K, et al. Numerical simulation of rivuletevolution on a horizontal cable subject to an external aerodynamic field. Journal ofFluids and Structures,2010,26:50-73
[122]Taylor I J, Robertson A C. Numerical simulation of the airflow–rivulet interactionassociated with the rain-wind induced vibration phenomenon. Journal of WindEngineering and Industrial Aerodynamics.2011,99:931-944
[123]Li H, Chen W L, Xu F, et al. A numerical and experimental hybrid approach forthe investigation of aerodynamic forces on stay cables suffering from rain-windinduced vibration. Journal of Fluids and Structures,2010,26:1195-1215
[124]Parkinson G V. Phenomena and modelling of flow-induced vibrations of bluffbodies. Progress in Aerospace Science.1989,26(2):169-224
[125]Yeo D H, Jones N P. Computational study on aerodynamic mitigation ofwind-induced, large-amplitude vibrations of stay cables with strakes. Journal ofWind Engineering and Industrial Aerodynamics,2011,99(4):389-399
[126]刘庆宽.斜拉索风雨振研究现状和尚待解决的问题.石家庄铁道大学学报(自然科学版)，2010，23(2)：53-58，116
[127]Matsumoto M, Yagi T, Sakai S, et a1. Steady wind force coefficients of inclinedstay cables with water rivulet and their application to aerodynamics. Wind andStructures,2005,8(2):107-120
[128]Matsumoto M, Yagi T, Goto M, et a1. Rain-wind-induced vibration of inclinedcables at limited high reduced wind velocity region. Journal of Wind Engineeringand Industrial Aerodynamics,2003,91:1-12
[129]Cheng S, Irwin P A, Jakobsen J B, et a1. Divergent motion of cables exposed toskewed wind. In: Proceeding of the5th International Symposium on CableDynamics. Italy: Santa Margherita Ligure,2003,271-278
[130]Matsumoto M, Yagi T, Liu Q K, et a1. Effects of axial flow and Karman vortexinterference on dry-state galloping of inclined stay-cables. In: Proceeding of the6th International Symposium on Cable Dynamics. U.S.A: Charleston, SouthCarolina,2005,247-254
[131]Kobayashi H, Minami Y, Mike M. Prevention of rain-wind induced vibration ofan inclined cable by surface processing. In:9th International Conference on WindEng. India: New Delhi,1995,753
[132]Virlogeux M. Recent evolution of cable-stayed bridges. Engineering Structures,1999,21:737-755
[133]Kleissl K, Georgakis C T. Aerodynamic control of bridge cables through shapemodification: A preliminary study. Journal of Fluids and Structures,2011,27:1006-1020
[134]Yamaguchi H, Nagahawatta H D. Damping effects of cable cross ties incable-stayed bridges. Journal of Wind Engineering and Industrial Aerodynamics,1995,54-55:35-43
[135]Chen Z Q, Wang X Y, Ko J M, et a1. MR damping system for mitigatingwind-rain induced vibration on Dongting Lake Cable-Stayed Bridge. Wind andStructures,2004,7(5):293-304
[136]王修勇，陈政清，何旭辉等.洞庭湖大桥风雨振减振试验研究.桥梁建设，2002，(2)：11-14
[137]王修勇，陈政清，何旭辉等.斜拉桥拉索风雨振控制的智能阻尼技术.振动与冲击，2002，21(3)：26-30，5.
[138]王修勇，陈政清，高赞明等.磁流变阻尼器对斜拉索振动控制研究.工程力学，2002，19(6)：22-28，48
[139]何旭辉，陈政清，黄万林等. MR阻尼器在抑制斜拉桥拉索风雨振中的应用研究.湖南大学学报(自然科学版)，2002，29(3)：91-95
[140]王修勇，陈政清，倪一清等.磁流变阻尼器在斜拉索减振中的应用.机械强度，2002，24(4)：477-480
[141]王修勇，陈政清，倪一清等.斜拉桥拉索风雨振观测及其控制.土木工程学报，2003，36(6)：53-59
[142]陈政清，刘光栋.桥梁风工程研究的若干新进展.工程力学，2006，23增刊II：93-111
[143]陈政清，曹宏，禹见达等．磁流变阻尼器在洪山大桥拉索减振中的应用.中南公路工程，2005，30(4)：27-30，103
[144]禹见达，陈政清，曹宏等.永磁调节式MR阻尼器试验研究及工程应用.振动工程学报，2006，19(4)：532-536
[145]禹见达，陈政清，王修勇等.磁流变阻尼器与拉索振动控制研究.功能材料，2006，37(5)：823-826
[146]禹见达，陈政清，王修勇等.磁流变阻尼器的非线性参数模型.振动与冲击，2007，26(4)：14-17
[147]禹见达．磁流变阻尼器对斜拉桥拉索振动控制的理论与试验研究：[湖南大学博士论文].长沙：湖南大学土木工程学院，2007,11
[148]黄祖洽，丁鄂江.物理学前沿丛书——表面浸润和浸润相变.上海：上海科学技术出版社，1994
[149]Young T. Miscellaneous works. Vol. I. London: John Murray,1855
[150]文书明.微流边界层理论及其应用.北京：冶金工业出版社，2002
[151]张兆顺，崔桂香.流体力学.北京：清华大学出版社，1999
[152]王力力，易伟建.斜拉索的腐蚀案例与分析.中南公路工程，2007，32(1)：93-98
[153]叶觉明，钟建驰.桥梁缆索系统的腐蚀与防护.钢结构，2005，20(2)：85-89
[154]叶觉明，欧阳恺.氟涂料在桥梁钢结构腐蚀防护中的应用.现代涂料与涂装，2005，8(2)：32-34.
[155]亚当森A W.表面的物理化学[M].北京：科学出版社，1984
[156]黄月文，刘伟区.含氟硅涂料的制备与性能研究.电镀与涂饰，2005，24(10)：24-27
[157]余永生，魏庆鼎.疏水性材料减阻特性实验研究.实验流体力学，2005，19(2)：60-66
[158]蔡洪光，张春雨，陈斌等.一种具有超疏水性质的聚乙烯纳米复合材料.2005年全国高分子学术论文报告会，北京，2005
[159]段辉，熊征蓉，汪厚植等.超疏水性涂层的研究进展.化学工业与工程，2006，23(1)：81-87
[160]任淑琰，顾明.斜拉桥拉索静力构形分析.同济大学学报(自然科学版)，2005，33(5)：595-599
[161]项海帆，鲍卫刚，陈艾荣等.公路桥梁抗风设计规范(JTG/T D60-01—2004).北京：人民交通出版社，2004
[162]陈政清，柳成荫，倪一清等.洞庭湖大桥拉索风雨振中的风场参数.铁道科学与工程学报，2004，1(1)：52-57
[163]Simiu E. Wind spectra and dynamic along wind response. Journal of StructuralDivision, ASCE,1974,100(9):1897-1910
[164]Davenport A G. The spectrum of horizontal gustiness near the ground in highwinds. Quarterly Journal of the Royal Meteorological Society,1961,87:194-211
[165]Von Karman T. Progress in the statistical theory of turbulence. In: Proceedings ofNational Academy of Science. U.S.A.: Washington D. C.,1948,530-539
[166]Solari G, Piccardo G. Probabilistic3-D turbulence modeling for gust buffeting ofstructures. Probabilistic Engineering Mechanics,2001,16:73-86
[167]Kaimal J C, Wyngaard J C, Izumi Y. Spectral characteristics of surface-layerturbulence. Quarterly Journal of the Royal Meteorological Society,1972,98:563-589
[168]Lumley J L, Panofsky H A. The Structure of Atmospheric Turbulence. New York:Wiley,1964
[169]罗俊杰，韩大建.大跨结构三维随机脉动风场的模拟方法.振动与冲击，2008，27(3)：87-91
[170]Davenport A G. The dependence of wind load upon meteorological parameters. In:Proceedings of the International Research Seminar on Wind Effects on Buildingsand Structures. Canada: University of Toronto Press, Toronto,1968,19-82
[171]Vickery B J. On the reliability of gust loading factors. Proceedings of thetechnical meeting concerning wind loads on buildings and structures. U.S.A.:National Bureau of Standards, Building Science Series30, Washington D. C.,1970,93-104
[172]Panofsky H A, Thomson D W, Sullivan D A, et al. Two-Point Velocity Statisticsover Lake Ontario. Boundary-Layer Meteorol,1974,7:309-321
[173]Rice S O. Mathematic analysis of random noise. Selected papers on noise andstochastic processes, N. Wax. ed., Dover publish Inc., New York, N. Y.,1954
[174]Borgman L E, Zahlten W. Ocean wave simulation for engineering design. Journalof Waterways and Harbors Division, ASCE,1969,95(4):557-583
[175]Shinozuka M. Simulation of multivariate and multidimensional random processes.Journal of the Acoustical Society of America,1971,49(1):357-368
[176]Shinozuka M, Jan C M. Digital simulation of random process and its application.Journal of Sound and Vibration,1972,25(1):111-128
[177]Shinozuka M. Digital simulation of random processes in engineering mechanicswith the aid of FFT technique. Stochastic Problems in Mechanics, University ofWaterloo Press, Waterloo, Canada,1974,277-286
[178]Shinozuka M. Simulation of stochastic processes by spectral respresentation.Applied Mechanics Review,1991,44(4):191-203
[179]Shinozuka M, Kamata M, Yan C B. Simulation of earthquake ground motion asmulti-variate stochastic processes. Tech. Rep. No.1989,5. Princeton-Kajima JointRas., Dept. of Civ. Engrg. and Operation Res., Princeton University, Princeton, N.J.1989
[180]Shinozuka M, Yan C B, Seya H. Stochastic methods in wind engineering. Journalof Wind Engineering and Industrial Aerodynamics,1990,36:829-843
[181]Deodatis G. Simulation of ergodic multivariate stochastic process. Journal ofEngineering Mechanics, ASCE,1996,122(8):778-787
[182]Yang J N. Simulation of random envelope processes. Journal of Sound andVibration,1972,25(1):73-58
[183]Yang J N. On the normality and accuracy of simulated random processes. Journalof Sound and Vibration,1973,26(3):417-428
[184]曹映泓.大跨度桥梁非线性颤振和抖振时程分析：[同济大学博士论文].上海：同济大学土木工程学院，1999
[185]Cao Y H, Xiang H F, Zhou Y. Simulation of stochastic wind velocity field onlong-span bridges. Journal of Engineering Mechanics, ASCE,2000,126(1):1-6
[186]陈建平，Wasniewski J. Cholesky分解递归算法与改进.计算机研究与发展，2001，38(8)：923-926
[187]罗俊杰，韩大建.谐波合成法模拟随机风场的优化算法.华南理工大学学报(自然科学版)，2007，35(7)：105-109
[188]丁泉顺.大跨度桥梁耦合颤抖振响应的精细化分析：[同济大学博士论文].上海：同济大学土木工程学院，2001，8
[189]丁泉顺，陈艾荣，项海帆.大跨度桥梁空间脉动风场的计算机模拟.力学季刊，2006，27(2)：184-189.
[190]罗俊杰，韩大建.大跨度结构随机脉动风场的快速模拟方法.工程力学，2008，25(3)：96-101
[191]李黎，胡亮，樊剑等.具有桥塔风效应的桥梁风场数值模拟.振动与冲击，2007，26(5)：14-18
[192]Paola M D. Digital simulation of wind field velocity. Journal of WindEngineering and Industrial Aerodynamics,1998,74-76:91-109
[193]Chen X, Kareem A. Proper orthogonal decomposition-based modeling analysisand simulation of dynamic wind load effects on structures. Journal of EngineeringMechanics, ASCE,2005,131(4):325-339
[194]Paola M D, Gullo I. Digital generation of multivariate wind field processes.Probabilistic Engineering Mechanics,2001,16(1):1-10
[195]Ding Q S, Zhu L D, Xiang H F. Simulation of stationary Gussian stochastic windvelocity field. Journal of Wind and Structures.2006,9(3):231-243
[196]Gerch W, Yonemoto J. Synthesis of multi-variate random vibration systems: atwo-stage least squares ARMA model approach. Journal of Sound and Vibration,1977,52(4):553-565
[197]Yamada M, Ohkitani K. Orthonormal wavelet analysis of turbulence. FluidDynamics Research,1991,8:101-115
[198]Kitagawa T, Nomura T. A wavelet-based method to generate artificial windfluctuation data. Journal of Wind Engineering and Industrial Aerodynamics,2003,90:943-964
[199]王毅，陈艾荣.基于小波方法的随机脉动风模拟.第11届全国结构风工程学术会议论文集(三亚)，2003，91-96
[200]周岱，马骏，吴筑海等.空间结构三维风时程模拟及其小波分析.工程力学，2006，23(3)：88-92
[201]韩艳，陈政清.利用小波分析逆变换模拟随机风场的脉动风.振动工程学报，2007，20(1)：52-56
[202]Jakob M. Wind field simulation. Probabilistic Engineering Mechanics,1998,13(4):269-282
[203]Panofsky H A, Dutton J A. Atmospheric turbulence. New York: John Wiley andSons,1984
[204]Giuliano A. Simulation of wind loading and response of geometrically non-linearstructures with particular reference to large antennas. Structural Safety,1990(8):161-179
[205]何旭辉，陈政清，李春光等.斜拉索风雨振非平稳风场特性分析.振动与冲击，2011，30(10)：54-60
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |