连续弹性拉索风雨激振理论模型研究
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摘要
假设水线与拉索表面之间存在着库仑阻尼力和线性粘滞阻尼力,建立了水线运动与拉索振动相互耦合的连续弹性拉索风雨激振理论模型。通过振型分解,获得了以拉索各阶振型表示的拉索振动方程和水线运动方程。采用龙格-库塔法对拉索和水线运动方程进行数值求解,得到了拉索和水线的响应。对计算结果的分析表明:当拉索大部分长度处于起振的敏感风速范围内时,风雨激振发生。此时水线在拉索表面形成,且大部分拉索处于竖向平均气动力系数突降区。拉索振动包含拉索多阶固有振型,且振型间相互转化。地面粗糙度指数和来流风速的大小对拉索的振幅和参振振型有重要的影响。
Assuming the interactions between the cable surface and the rivulet as Coulomb and linear viscous damping forces,the model of rain-wind-induced vibration of continuous elastic cable with the coupled cable-rivulet system was formulated.Equations of the cable and the rivulet expressed with modes of cable were obtained through modes decoupling method.Equations of the cable and the rivulet were solved with the Runge-Kutta method and responses of cable and rivulet were obtained.It is shown that rain-wind-induced vibration is occurred when mostly length of cable is located in the range of sensitive wind velocity.The rivulet is generated and mostly of it is in the sudden reduction range of the mean aerodynamic forces coefficient.The vibration of the cable include several natural modes which transforming mutually.The ground roughness exponent and wind velocity can affect the amplitude and vibration modes of the cable seriously.
Assuming the interactions between the cable surface and the rivulet as Coulomb and linear viscous damping forces,the model of rain-wind-induced vibration of continuous elastic cable with the coupled cable-rivulet system was formulated.Equations of the cable and the rivulet expressed with modes of cable were obtained through modes decoupling method.Equations of the cable and the rivulet were solved with the Runge-Kutta method and responses of cable and rivulet were obtained.It is shown that rain-wind-induced vibration is occurred when mostly length of cable is located in the range of sensitive wind velocity.The rivulet is generated and mostly of it is in the sudden reduction range of the mean aerodynamic forces coefficient.The vibration of the cable include several natural modes which transforming mutually.The ground roughness exponent and wind velocity can affect the amplitude and vibration modes of the cable seriously.
引文
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[15]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[J].土木工程学报,2007,40(7):62—67.
[2]Yamaguchi H.Analytical study on growth mechanismof rain vibration of cable[J].Journal of WindEngineering and Industrial Aerodynamics,1990,33(1):73—80.
[3]Xu Y L,Wang L Y.Analytical of wind-rain-inducedcable vibration[J].APCWE-5,Journal of WindEngineering,2001,89:109—112.
[4]Xu Y L,Wang L Y.Analytical study of wind-rain-induced cable vibration:SODF model[J].Journal ofWind Engineering and Industrial Aerodynamics,2003,91(1):27—40.
[5]Cao D Q,Tucker R W,Wang C.A stochasticapproach to cable dynamics with moving rivulets[J].Journal of Sound and Vibration,2003,268(11):291—304.
[6]杜晓庆.斜拉桥拉索风雨激振研究[D].上海:同济大学,2003,12.
[7]刘习军,王霞,贾启芬,等.斜拉桥拉索的风雨激励振动特性[J].天津大学学报,2005,38(8):674—678.
[8]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[J].工程力学,2007,24(6):7—14.
[9]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[J].湖南大学学报(自然科学版),2009,36(2):1—7.
[10]陈政清.斜拉索风雨激振现场观测与振动控制[J].建筑科学与工程学报,2005,22(4):5—10.
[11]任淑琰,顾明.斜拉桥拉索静力构形分析[J].同济大学学报(自然科学版),2005,33(5):595—599.
[12]李暾,陈政清,李寿英.拉索表面材料对风雨激振的影响研究[J].工程力学,2009,26(7):47—53.
[13]Ni Y Q,Wang X Y,Chen Z Q,et al.Fieldobservations of rain-wind-induced cable vibration incable-stayed Dongting Lake Bridge[J].Journal ofWind Engineering and Industrial Aerodynamics,2007,95(5):303—328.
[14]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[J].地震工程与工程振动,2009,29(1):139—145.
[15]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[J].土木工程学报,2007,40(7):62—67.
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