斜拉索风雨振的动力学行为研究  

Nonlinear dynamic behavior of rain-wind-induced vibration of a stay cable

作　　者：张琪昌[1] 李伟义[1] 王炜[1] 

机构地区：[1]天津大学机械工程学院力学系,天津300072

出　　处：《振动与冲击》2010年第4期173-176,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金项目资助(10872141);教育部博士点基金项目资助(20060056005)

摘　　要：建立了两个自由度的连续斜拉索风雨振理论模型,比已往的截断模型能更好的体现连续斜拉索风雨振完整的动力学特性。利用伽辽金截断方法将连续偏微分方程转化为常微分方程,借助规范形理论得到了系统的平均方程,证明了系统存在稳定的定常解。运用Mathematica程序对系统进行数值分析,得到了拉索和水线的运动相图。数值模拟结果对理论研究的有效性进行了验证。最后讨论了拉索线性阻尼系数、水线与拉索间的粘附系数、水线单位长度质量等参数对拉索振幅的影响,并提出相应的工程解决方案。The rain-wind-induced vibration of a stay cable is a topic attracting extensive attention in the area of bridge engineering and wind engineering now.A two-degree-of-freedom model of the rain-wind-induced vibration of a continuous stay cable was presented.A set of partial differential equations were converted into ordinary differential equations using Galerkin method.The averaging equation was achieved using the normal form theory,it showed the existence of stationary solutions.Then,the stability of the stationary solutions was proved.The original system was studied by means of numerical simulation with Mathematica software.The phase diagrams of the cable and its rivulet were obtained.It was shown that their moments converge to limit circles.The validity of the theoretical study was investigated via numerical simulation.The influence of the damping of the stay cable,and the per unit length mass of the rivulet,etc.was discussed.The corresponding solutions to the problems in practical engineering were proposed.

关 键 词：风雨振 斜拉索 水线 规范形 定常解 

分 类 号：O322[理学—一般力学与力学基础]