发生风雨激振拉索表面水膜形态数值分析和实测初探
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摘要
结合Lemaitre斜拉索表面水膜风致形变解析算法,对数学模型中拉索运动方程进行修正,使其能计入拉索风致运动对表面附着水膜形态的影响,通过差分方法对方程进行数值求解,并进行参数分析:研究拉索表面水膜在重力、表面风压、表面摩擦力、表面张力作用下的形态变化,得到拉索发生风雨激振时表面水线的运动规律及形态变化。采用超声波探测仪对拉索表面水膜进行动态测量,实时获得拉索风雨激振形态下表面水膜动态响应数据,通过与水膜运动数值算法结果进行对比一定程度上探讨了圆截面斜拉索风雨振发生机理。
Combined the algorithm of wind-induced deformation of water film on stayed-cable which developed by Lemaitre,equation of motion in the mathematical model was modified,morphologic changing of water film which induced by the motion of cable could be concerned.Through solving the function by difference methods and parametric analysis,the evolution of water film which subject to gravity,wind pressure,friction and surface tension was investigated.We had got the movement and morphologic changing of the water rivulet when rain-wind induced vibration(RWIV) happened.Use ultrasonic transmission thickness measurement system(UTTMS),the real-time dynamic response data of the water film in condition of RWIV are measured.Compare the result with that of numerical analysis;the mechanism of RWIV of cable with circle cross section has been investigated in some extent.
Combined the algorithm of wind-induced deformation of water film on stayed-cable which developed by Lemaitre,equation of motion in the mathematical model was modified,morphologic changing of water film which induced by the motion of cable could be concerned.Through solving the function by difference methods and parametric analysis,the evolution of water film which subject to gravity,wind pressure,friction and surface tension was investigated.We had got the movement and morphologic changing of the water rivulet when rain-wind induced vibration(RWIV) happened.Use ultrasonic transmission thickness measurement system(UTTMS),the real-time dynamic response data of the water film in condition of RWIV are measured.Compare the result with that of numerical analysis;the mechanism of RWIV of cable with circle cross section has been investigated in some extent.
引文
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[3]BOSDOGIANNI A,OLIVARI D.Wind-and rain-inducedoscillations of cable of stayed bridge[J].Journal ofWindEngineering and Industrial Aerodynamics,1996,64:171-185.
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[5]Y.L.XU,L.Y.WANG.Analytical study of wind-rain-in-duced cable vibration:SDOFmodel[J].Journal ofWindEngi-neering and Industrial Aerodynamics,2003,91:27-40.
[6]VAN DRE BURGH A H P,HARTONO.Rain-wind-in-duced vibrations of a simple oscillator[J].InternationalJournal ofNon-linear Mechanics,2003,39:93-1001.
[7]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.
[8]L.S.XU,Y.J.GE,L.ZHAO.Experimental investigationof rain-wind-induced vibration of stay cables based onhigh precision raining machine[R].APCWE-VII,701-704.
[9]REISFELD B,BANKOFF S G.Non-isothermal flow of aliquid filmon a horizontal cylinder[J].Journal ofFluidMe-chanics,1992(236):167-196.
[10]LEMAITRE C.Thin water film around a cable subject towind[J].Journal ofWindEngineeringandIndustrial Aero-dynamics,2007,95:1259-1271.
[11]ACHENBACH E.Distribution of local pressure and skinfriction around a circular cylinder in a cross-flowup toRe5_106[J].Fluid Mech,1968,34(4):625-639.
[12]林志兴,杨立波,李文勃.斜拉桥拉索顺桥向风阻系数的实验研究[J].郑州大学学报,2006,26(3):38-41.
[13]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[J].振动、测试与诊断,2005,25(6):85-90.
[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(2):139-145.
[2]YAMAGUCHI H.Analytical study on growth mechanism ofrain vibration of cable[J].Journal ofWindEngineeringandIndustrial Aerodynamics,1990,33:73-80.
[3]BOSDOGIANNI A,OLIVARI D.Wind-and rain-inducedoscillations of cable of stayed bridge[J].Journal ofWindEngineering and Industrial Aerodynamics,1996,64:171-185.
[4]顾明,刘慈军,徐幼麟.带人工雨线的拉索在风雨激励下的响应[J].应用数学和力学,2002,23(10):1047-1054.
[5]Y.L.XU,L.Y.WANG.Analytical study of wind-rain-in-duced cable vibration:SDOFmodel[J].Journal ofWindEngi-neering and Industrial Aerodynamics,2003,91:27-40.
[6]VAN DRE BURGH A H P,HARTONO.Rain-wind-in-duced vibrations of a simple oscillator[J].InternationalJournal ofNon-linear Mechanics,2003,39:93-1001.
[7]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.
[8]L.S.XU,Y.J.GE,L.ZHAO.Experimental investigationof rain-wind-induced vibration of stay cables based onhigh precision raining machine[R].APCWE-VII,701-704.
[9]REISFELD B,BANKOFF S G.Non-isothermal flow of aliquid filmon a horizontal cylinder[J].Journal ofFluidMe-chanics,1992(236):167-196.
[10]LEMAITRE C.Thin water film around a cable subject towind[J].Journal ofWindEngineeringandIndustrial Aero-dynamics,2007,95:1259-1271.
[11]ACHENBACH E.Distribution of local pressure and skinfriction around a circular cylinder in a cross-flowup toRe5_106[J].Fluid Mech,1968,34(4):625-639.
[12]林志兴,杨立波,李文勃.斜拉桥拉索顺桥向风阻系数的实验研究[J].郑州大学学报,2006,26(3):38-41.
[13]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[J].振动、测试与诊断,2005,25(6):85-90.
[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(2):139-145.
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