三维运动水线斜拉索风雨激振影响因素探究
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摘要
风雨激振是斜拉索发生大幅振动的情况中较为典型的现象。水线运动规律及其受力情况的分析是建立风雨激振理论模型的难点之一。该文分别采用假定水线按正弦规律运动和进行受力分析建立水线运动方程两种模型与建立的拉索三维连续体模型进行联立,采用数值方法进行对比研究,得到了拉索和水线的运动规律,验证了二阶振动模态的影响可忽略的假设的合理性,讨论了水线振动幅度对拉索振幅的影响,发现拉索的振动幅值与水线的振动幅值正相关,考察了水线振动频率与相关参数(单位长度水线质量、风速等)的关系,研究了水线与拉索的振动相位关系,得到了较为合理的风雨激振现象的机理解释。
The rain-wind induced vibration(RWIV) of cables in cable stayed bridges is the typical phenomenon.The most difficult problem of establish the model of the RWIV is the analysis and hypothesis of the rivulet's stress and characteristics of motion.In this paper,the comparative study of RWIV will be proceeding.Aiming at the problem of the model of the rivulet,a kind of the sine function is accepted,and another kind of the rivulet model is established on the basis of analysis on the stress of the rivulet.Then,solve the equations of cable and the rivulet jointly by numerical method,get the characteristics of motion of the cable and rivulet,then verify the rationality of ignoring the influence of the second model of a cable and discuss the impact to the amplitude of a cable caused by vibration amplitude of rivulet,the larger amplitude of the rivulet,the larger amplitude of the cable,then investigate the factors like the mass of per unit length rivulet and the mean wind speed which is related with the frequency of a rivulet.Finally,the phase relationship between a rivulet and a cable is researched and draw some more rational explanations of the RWIV phenomenon.
The rain-wind induced vibration(RWIV) of cables in cable stayed bridges is the typical phenomenon.The most difficult problem of establish the model of the RWIV is the analysis and hypothesis of the rivulet's stress and characteristics of motion.In this paper,the comparative study of RWIV will be proceeding.Aiming at the problem of the model of the rivulet,a kind of the sine function is accepted,and another kind of the rivulet model is established on the basis of analysis on the stress of the rivulet.Then,solve the equations of cable and the rivulet jointly by numerical method,get the characteristics of motion of the cable and rivulet,then verify the rationality of ignoring the influence of the second model of a cable and discuss the impact to the amplitude of a cable caused by vibration amplitude of rivulet,the larger amplitude of the rivulet,the larger amplitude of the cable,then investigate the factors like the mass of per unit length rivulet and the mean wind speed which is related with the frequency of a rivulet.Finally,the phase relationship between a rivulet and a cable is researched and draw some more rational explanations of the RWIV phenomenon.
引文
[1]Hikami Y,Shiraish N.Rain-wind induced vibration ofcables in cable stayed bridges[J].Journal of WindEngineering and Industrial Aerodynamics,1988,29:409―418.
[2]Yamaguchi H.Analytical study on growth mechanism ofrain vibration of cables[J].Journal of Wind Engineeringand Industrial Aerodynamics,1990,33:73―80.
[3]Peil U,Nahrath N.Modeling of rain-wind inducedvibrations[J].Wind&Structures,2003,6(1):41―52.
[4]Matsumoto M,Saitoh T,Kitaqawa M,et al.Responsecharacteristics of rain-wind induced vibration ofstay-cable of cable-stayed bridges[J].Journal of WindEngineering and Industrial Aerodynamics,1995,57:323―333.
[5]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.Chen Wenli,Li Hui,Li Fengchen.An ultrasonictransmission thickness measurement system for rivuleton the stay cable under rain-wind induced vibration[J].Journal of Earthquake Engineering and EngineeringVibration,2009,29(1):139―145.(in Chinese)
[6]杜晓庆,顾明.斜拉索上雨线的气动力特性的试验研究[J].同济大学学报(自然科学报),2005,33(5):585―589.Du Xiaoqing,Gu Ming.Testing study on wind pressuredistributions of stay cables with fixed artificial rivulet[J].Journal of Tongji University(Natural Science),2005,33(5):585―589.(in Chinese)
[7]刘习军,李强,刘振宇,徐景满,贾启芬.MR阻尼器在风雨激振的斜拉索中的减振应用[J].工程力学,2007,24(9):100―104.Liu Xijun,Li Qiang,Liu Zhenyu,Xu Jingman,Jia Qifen.The Application of MR damper in rain-wind-inducedvibration reduction of stayed cable[J].EngineeringMechanics,2007,24(9):100―104.(in Chinese)
[8]Mastumoto M,Yagi T,Shigemura,et al.Vortex-inducedcable vibration of cable-stayed bridges at high reducedwind velocity[J].Journal of Wind Engineering andIndustrial Aerodynamics,2001,89:633―647.
[9]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992:372―373.Li Guohao.Stability and vibration of bridge structures[M].Beijing:China Railway Publishing House,1992:372―373.(in Chinese)
[10]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.Li Shouying,Gu Ming,Chen Zhengqing.Analyticalmodel for rain-wind-induced vibration of three-dimensional continuous stay cable with quasi-movingrivulet[J].Engineering Mechanics,2007,24(6):7―14.(in Chinese)
[11]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.Li Shouying,Gu Ming,Chen Zhengqing.An analyticalmodel of rain-wind-induced vibration of three-dimensional continuous stay cable with actual movingrivulet[J].Journal of Hunan University(NaturalSciences),2009,36(2):1―7.(in Chinese)
[12]Wang Linyun,Xu Y L.Wind-rain-induced vibration ofcable:an analytical model(1)[J].International Journal ofSolids and Structures,2003,40:1265―1280.
[13]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[J].土木工程学报,2007,40(10):60―66.Li Shouying,Chen Zhengqing,Gu Ming.A theoreticalmodel of rain-wind induced vibration of stay cables:Acoupled two-mass oscillators with three degree-of-freedoms[J].China Civil Engineering Journal,2007,40(10):60―66.(in Chinese)
[14]Lilien J L,A Pinto Da Costa.Vibration amplitudescaused by parametric excitation of cable stayed structures[J].Journal of Sound and Vibration,1977,51(14):483―492.
[2]Yamaguchi H.Analytical study on growth mechanism ofrain vibration of cables[J].Journal of Wind Engineeringand Industrial Aerodynamics,1990,33:73―80.
[3]Peil U,Nahrath N.Modeling of rain-wind inducedvibrations[J].Wind&Structures,2003,6(1):41―52.
[4]Matsumoto M,Saitoh T,Kitaqawa M,et al.Responsecharacteristics of rain-wind induced vibration ofstay-cable of cable-stayed bridges[J].Journal of WindEngineering and Industrial Aerodynamics,1995,57:323―333.
[5]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.Chen Wenli,Li Hui,Li Fengchen.An ultrasonictransmission thickness measurement system for rivuleton the stay cable under rain-wind induced vibration[J].Journal of Earthquake Engineering and EngineeringVibration,2009,29(1):139―145.(in Chinese)
[6]杜晓庆,顾明.斜拉索上雨线的气动力特性的试验研究[J].同济大学学报(自然科学报),2005,33(5):585―589.Du Xiaoqing,Gu Ming.Testing study on wind pressuredistributions of stay cables with fixed artificial rivulet[J].Journal of Tongji University(Natural Science),2005,33(5):585―589.(in Chinese)
[7]刘习军,李强,刘振宇,徐景满,贾启芬.MR阻尼器在风雨激振的斜拉索中的减振应用[J].工程力学,2007,24(9):100―104.Liu Xijun,Li Qiang,Liu Zhenyu,Xu Jingman,Jia Qifen.The Application of MR damper in rain-wind-inducedvibration reduction of stayed cable[J].EngineeringMechanics,2007,24(9):100―104.(in Chinese)
[8]Mastumoto M,Yagi T,Shigemura,et al.Vortex-inducedcable vibration of cable-stayed bridges at high reducedwind velocity[J].Journal of Wind Engineering andIndustrial Aerodynamics,2001,89:633―647.
[9]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992:372―373.Li Guohao.Stability and vibration of bridge structures[M].Beijing:China Railway Publishing House,1992:372―373.(in Chinese)
[10]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.Li Shouying,Gu Ming,Chen Zhengqing.Analyticalmodel for rain-wind-induced vibration of three-dimensional continuous stay cable with quasi-movingrivulet[J].Engineering Mechanics,2007,24(6):7―14.(in Chinese)
[11]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.Li Shouying,Gu Ming,Chen Zhengqing.An analyticalmodel of rain-wind-induced vibration of three-dimensional continuous stay cable with actual movingrivulet[J].Journal of Hunan University(NaturalSciences),2009,36(2):1―7.(in Chinese)
[12]Wang Linyun,Xu Y L.Wind-rain-induced vibration ofcable:an analytical model(1)[J].International Journal ofSolids and Structures,2003,40:1265―1280.
[13]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[J].土木工程学报,2007,40(10):60―66.Li Shouying,Chen Zhengqing,Gu Ming.A theoreticalmodel of rain-wind induced vibration of stay cables:Acoupled two-mass oscillators with three degree-of-freedoms[J].China Civil Engineering Journal,2007,40(10):60―66.(in Chinese)
[14]Lilien J L,A Pinto Da Costa.Vibration amplitudescaused by parametric excitation of cable stayed structures[J].Journal of Sound and Vibration,1977,51(14):483―492.
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