Please wait a minute...
浙江大学学报(工学版)
J4  2012, Vol. 46 Issue (2): 269-273    DOI: 10.3785/j.issn.1008-973X.2012.02.014
土木工程     
风激拉索的张弛振荡分析
应祖光, 王建文
浙江大学 航空航天学院力学系,浙江 杭州310027
Self-excited oscillation analysis of a taut cable under wind loading
YING Zu-guang, WANG Jian-wen
Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
 全文: PDF 
摘要：

为了研究斜拉索在横向风激励下的多模态张弛振荡特性,获得临界风速表达式，建立拉索受风力作用的非线性运动微分方程,基于索纵向运动相对较小而导出关于索横向运动的偏微分振动方程,运用Galerkin法将该方程转化为常微分方程组,用以描述索的多模态自激振动；应用非线性振动的平均法,求解得到该系统的自激振动分析解,确定索张弛振荡及存在性条件,分析计算索前二阶模态张弛振荡的临界风速,并通过数值模拟验证.提出风激拉索多模态张弛振荡及临界风速的分析方法,研究结果表明,拉索张弛振荡的临界风速随结构模态阻尼而提高,并受振动模态、风速变化和风力系数等影响.
关键词： 斜拉索;  张弛振荡;  极限环;  平均法    
Abstract:

 The fluid-flow-induced cable vibration is an active research subject in structural engineering and has practical importance for structural improvement and vibration control. To study the characteristics of the selfexcited oscillation of an inclined taut cable with multivibration modes under wind loading and to obtain the analytical expression of the critical wind velocity, the nonlinear differential equations of motion were derived for the wind-induced vibration of the cable. Then the partial differential equation for the transverse cable vibration was obtained based on the assumption of longitudinal cable vibration comparatively small. By using the Galerkin approach, this partial differential equation was converted into ordinary differential equations which describe the selfexcited oscillation of the cable as multi-modes system. The analytical solutions, in particular, limit cycle solutions to the system in selfexcited oscillation were obtained further by using the averaging method for nonlinear vibration. The wind-induced strong cable oscillation and its existence conditions were analytically determined finally. The critical wind velocities for first two modes of the cable system in selfoscillation were analyzed and verified by numerical results. Thus the analytical method for the windinduced selfexcited oscillation of taut cables with multimodes and the critical wind velocity is developed. It is concluded that the critical wind velocity of the cable selfoscillation increases with structural mode damping and is affected by other factors such as vibration modes, transverse wind velocity varied with time and space, drag and lift coefficients.
Key words: inclined taut cable    self-excited oscillation    limit cycle    averaging method
出版日期: 2012-03-02
:  O 323  
基金资助:

国家自然科学基金重点资助项目（10932009）；国家自然科学基金资助项目（11072215）；浙江省自然科学基金资助项目（Y607087）；教育厅科研资助项目（Y200907048）.
作者简介: 应祖光（1963—）,男,教授,博导.主要从事非线性随机动力学与控制研究.E-mail: yingzg@zju.edu.cn
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　

引用本文:

应祖光, 王建文. 风激拉索的张弛振荡分析[J]. J4, 2012, 46(2): 269-273.

YING Zu-guang, WANG Jian-wen. Self-excited oscillation analysis of a taut cable under wind loading. J4, 2012, 46(2): 269-273.

链接本文:

http://www.zjujournals.com/xueshu/eng/CN/10.3785/j.issn.1008-973X.2012.02.014    或    http://www.zjujournals.com/xueshu/eng/CN/Y2012/V46/I2/269

［1］ IRVINE H M. Cable Structures ［M］. Cambridge: MIT Press, 1981: 15-95.
［2］ YING Z G, NI Y Q, KO J M. Parametrically excited instability of a cable under two support motions ［J］. International Journal of Structural Stability and Dynamics, 2006, 6(1): 43-58.
［3］ 邬喆华,陈勇,楼文娟,等.磁流变阻尼器对斜拉索减振效果的试验研究 ［J］.振动工程学报, 2004, 17(1): 102-107.
WU ZheHua, CHEN Yong, LOU WwenJuan, et al. Experimental study of vibration mitigation of bridge stay cable using MR dampers ［J］. Chinese Journal of Vibration Engineering, 2004, 17(1): 102-107.
［4］ HIKAMI Y, SHIRAISHI N. Rainwind induced vibrations of cables in cable stayed bridges ［J］. Journal of Wind Engineering and Industrial Aerodynamics, 1988, 29(1/3): 409-418.
［5］ MATSUMOTO M, SAITOH T, KITAZAWA M, et al. Response characteristics of rainwind induced vibration of staycables of cablestayed bridges ［J］. Journal of Wind Engineering and Industrial Aerodynamics, 1995, 57(2/3): 323-333.
［6］ YAMAGUCHI H. Analytical study on growth mechanism of rain vibration of cables ［J］. Journal of Wind Engineering and Industrial Aerodynamics, 1990, 33(1/2): 73-80.
［7］ XU Y L, WANG L Y. Analytical study of windraininduced cable vibration: SDOF model ［J］. Journal of Wind Engineering and Industrial Aerodynamics, 2003, 91(1/2): 27-40.
［8］ GU M, LIU C J, XU Y L, et al. Response characteristics of wind excited cables with artificial rivulet ［J］. Applied Mathematics and Mechanics, 2002 23(10): 1176-1187.
［9］ 张琪昌,李伟义,王炜.斜拉索风雨振的动力学行为研究 ［J］.振动与冲击, 2010, 29(4): 173-176.
ZHANG QiChang, LI WeiYi, WANG Wei.Nonlinear dynamic behavior of rainwindinduced vibration of a stay cable ［J］.Chinese Journal of Vibration and Shock, 2010, 29(4): 173-176.
［10］ VAN DER BURGH A H P, HARTONO J. Rainwindinduced vibrations of a simple oscillator ［J］. International Journal of NonLinear Mechanics, 2004, 39(1): 93-100.
［11］ LE DIOURON T, FUJINO Y, ABE M. Control of windinduced selfexcited oscillations by transfer of internal energy to higher modes of vibration I: analysis in two degree of freedom ［J］. ASCE Journal of Engineering Mechanics, 2003, 129(5): 514-525.
［12］ DEN HARTOG J P. Mechanical Vibrations ［M］. New York: McGrawHill Book Company, 1956: 346-447.
［13］ NAYFEH A H, MOOK D T. Nonlinear Oscillations ［M］. New York: John Wiley & Sons, 1979: 62-145.
［14］ KAZAKEVICH M I, VASILENKO A G. Closed analytical solution for galloping aeroelastic selfoscillations ［J］. Journal of Wind Engineering and Industrial Aerodynamics, 1996, 65(1/3): 353-360.
[1] 茅僰 应祖光 朱位秋. 不确定结构非线性随机最优控制的鲁棒性[J]. J4, 2008, 42(7): 1101-1105.
[2] 谢旭 张鹤 朱越峰 苟昌焕. CFRP拉索在横向风荷载作用下的振动特性[J]. J4, 2008, 42(1): 145-151.
[3] 张治成 谢旭 张鹤. 大跨度斜拉桥钢和碳纤维拉索设计安全系数[J]. J4, 2007, 41(9): 1443-1449.
[4] 黄志龙 孙志锋. 谐和激励下强非线性杜芬-范德波振子的响应[J]. J4, 2005, 39(3): 445-448.