人行桥的TMD减振优化设计研究
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摘要
振动舒适度是设计大跨轻质人行桥时需要解决的关键问题之一。采用调谐质量阻尼器(TMD),可以有效降低桥梁在行人激励下的振动反应。该文基于分布参数法,提出了单跨和多跨人行桥采用STMD及MTMD减振系统的动力反应通用时程计算方法。在此基础上,以均方根加速度作为衡量标准,研究了单跨和多跨梁式人行桥-TMD系统中TMD布置位置、系统最优频率比与最优阻尼比的优化取值和减振效果等问题,提出了相应的设计建议,并通过数值算例进行了验证。
With the trend towards more lighter and slender footbridges,the vibration serviceability is more critical in design.The tuned mass damper(TMD) has shown a high efficiency in reducing the excessive vibrations under dynamic loads induced by pedestrians.Based on the distributed parameter method,a general measure to calculate the dynamic response of a footbridge-STMD system or a footbridge-MTMD system is suggested.The efficacy of TMD in controlling footbridge vibration under walking loads is examined according to the root-mean-square acceleration,and the optimal placement and parameters of a TMD system are discussed.The proposed method is also verified by numerical examples.
With the trend towards more lighter and slender footbridges,the vibration serviceability is more critical in design.The tuned mass damper(TMD) has shown a high efficiency in reducing the excessive vibrations under dynamic loads induced by pedestrians.Based on the distributed parameter method,a general measure to calculate the dynamic response of a footbridge-STMD system or a footbridge-MTMD system is suggested.The efficacy of TMD in controlling footbridge vibration under walking loads is examined according to the root-mean-square acceleration,and the optimal placement and parameters of a TMD system are discussed.The proposed method is also verified by numerical examples.
引文
[1]Zivanovic S,Pavic A,Reynolds P.Vibrationserviceability of footbridges under human-inducedexcitation:a literature review[J].Journal of Sound andVibration,2005,279(1/2):1―74.
[2]樊健生,聂建国,贾维,何萌.钢-压型钢板混凝土组合梁在大跨人行天桥中的应用[J].建筑结构学报,2002,23(4):85―89.Fan Jiansheng,Nie Jianguo,Jia Wei,He Meng.Application of composite steel-concrete beams withprofiled sheeting in long span pedestrian bridge[J].Journal of Building Structures,2002,23(4):85―89.(inChinese)
[3]陈宇.步行荷载激励下大跨度人行桥的振动研究和减振研究[D].北京:清华大学,2007.Chen Yu.Vibration study and control on long spanfootbridge under human-induced load[D].Beijing:Tsinghua University,2007.(in Chinese)
[4]Ormondroyd J,Den Hartog J P.The theory of thedynamic vibration absorber[J].Journal of AppliedMechanics,1928,50(7):9―22.
[5]Den Hartog J P.Mechanical vibrations[M].New York:Dover Publications,1947:126―131.
[6]Warburton G B.Optimum absorber parameters forvarious combinations of response and excitationparameters[J].Earthquake Engineering and StructuralDynamics,1982,10:381―401.
[7]Rana R,Soong T T.Parametric study and simplifieddesign of tuned mass dampers[J].Engineering Structures,1998,20(3):193―204.
[8]李春祥,刘艳霞,熊学玉.TMD系统最优参数的实用设计方法[J].工业建筑,1999,29(1):30―34.Li Chunxiang,Liu Yanxia,Xiong Xueyu.Thepracticable design method of the optimal parameters ofTMD system[J].Industrial Construction,1999,29(1):30―34.(in Chinese)
[9]肖新标,沈火明.移动荷载作用下的桥梁振动及其TMD控制[J].振动与冲击,2005,24(2):58―61.Xiao Xinbiao,Shen Huoming.Vibration and the TMDcontrol of bridges under moving loads[J].Journal ofVibration and Shock,2005,24(2):58―61.(in Chinese)
[10]唐时军,唐驾时,欧耀辉.竖向地震作用下的结构TMD控制分析[J].湖南理工学院学报,2006,19(3):60―63.Tang Shijun,Tang Jiashi,Ou Yaohui.Analysis of TMDused in controlling the vibration of structural in thevertical earthquake action[J].Journal of Hunan Instituteof Science and Technology,2006,19(3):60―63.(inChinese)
[11]Bachmann H,Pretlove A J,Rainer H.Vibrations inducedby people[C]//Institute of Structural Engineering,ETH:Vibration Problems in Structures:Practical Guidelines.Basel,Birkh user Verlag,1995.
[12]聂建国,陈宇,樊健生.步行荷载作用下单跨人行桥的均方根加速度反应谱法[J].土木工程学报,2010,43(9):109―116.Nie Jianguo,Chen Yu,Fan Jiansheng.RMS accelerationresponse spectrum method for single-span footbridgesunder pedestrian load[J].China Civil EngineeringJournal,2010,43(9):109―116.(in Chinese)
[13]刘晶波,杜修力.结构动力学[M].北京:机械工业出版社,2005:135―137.Liu Jingbo,Du Xiuli.Dynamics of structures[M].Beijing:China Machine Press,2005:135―137.(inChinese)
[14]陈宇,樊健生,聂建国.多跨人行桥振动的均方根加速度反应谱法[J].土木工程学报,2010,43(9):117―124.Chen Yu,Fan Jiansheng,Nie Jianguo.RMS accelerationresponse spectrum method for multi-span footbridgevibrations under pedestrian load[J].China CivilEngineering Journal,2010,43(9):117―124.(inChinese)
[15]Bachmann H.Human response to vibrations[C]//Institute of Structural Engineering,ETH:VibrationProblems in Structures:Practical Guidelines.Basel,Birkh user Verlag,1995.步频fs/Hz方根加速度均a
[2]樊健生,聂建国,贾维,何萌.钢-压型钢板混凝土组合梁在大跨人行天桥中的应用[J].建筑结构学报,2002,23(4):85―89.Fan Jiansheng,Nie Jianguo,Jia Wei,He Meng.Application of composite steel-concrete beams withprofiled sheeting in long span pedestrian bridge[J].Journal of Building Structures,2002,23(4):85―89.(inChinese)
[3]陈宇.步行荷载激励下大跨度人行桥的振动研究和减振研究[D].北京:清华大学,2007.Chen Yu.Vibration study and control on long spanfootbridge under human-induced load[D].Beijing:Tsinghua University,2007.(in Chinese)
[4]Ormondroyd J,Den Hartog J P.The theory of thedynamic vibration absorber[J].Journal of AppliedMechanics,1928,50(7):9―22.
[5]Den Hartog J P.Mechanical vibrations[M].New York:Dover Publications,1947:126―131.
[6]Warburton G B.Optimum absorber parameters forvarious combinations of response and excitationparameters[J].Earthquake Engineering and StructuralDynamics,1982,10:381―401.
[7]Rana R,Soong T T.Parametric study and simplifieddesign of tuned mass dampers[J].Engineering Structures,1998,20(3):193―204.
[8]李春祥,刘艳霞,熊学玉.TMD系统最优参数的实用设计方法[J].工业建筑,1999,29(1):30―34.Li Chunxiang,Liu Yanxia,Xiong Xueyu.Thepracticable design method of the optimal parameters ofTMD system[J].Industrial Construction,1999,29(1):30―34.(in Chinese)
[9]肖新标,沈火明.移动荷载作用下的桥梁振动及其TMD控制[J].振动与冲击,2005,24(2):58―61.Xiao Xinbiao,Shen Huoming.Vibration and the TMDcontrol of bridges under moving loads[J].Journal ofVibration and Shock,2005,24(2):58―61.(in Chinese)
[10]唐时军,唐驾时,欧耀辉.竖向地震作用下的结构TMD控制分析[J].湖南理工学院学报,2006,19(3):60―63.Tang Shijun,Tang Jiashi,Ou Yaohui.Analysis of TMDused in controlling the vibration of structural in thevertical earthquake action[J].Journal of Hunan Instituteof Science and Technology,2006,19(3):60―63.(inChinese)
[11]Bachmann H,Pretlove A J,Rainer H.Vibrations inducedby people[C]//Institute of Structural Engineering,ETH:Vibration Problems in Structures:Practical Guidelines.Basel,Birkh user Verlag,1995.
[12]聂建国,陈宇,樊健生.步行荷载作用下单跨人行桥的均方根加速度反应谱法[J].土木工程学报,2010,43(9):109―116.Nie Jianguo,Chen Yu,Fan Jiansheng.RMS accelerationresponse spectrum method for single-span footbridgesunder pedestrian load[J].China Civil EngineeringJournal,2010,43(9):109―116.(in Chinese)
[13]刘晶波,杜修力.结构动力学[M].北京:机械工业出版社,2005:135―137.Liu Jingbo,Du Xiuli.Dynamics of structures[M].Beijing:China Machine Press,2005:135―137.(inChinese)
[14]陈宇,樊健生,聂建国.多跨人行桥振动的均方根加速度反应谱法[J].土木工程学报,2010,43(9):117―124.Chen Yu,Fan Jiansheng,Nie Jianguo.RMS accelerationresponse spectrum method for multi-span footbridgevibrations under pedestrian load[J].China CivilEngineering Journal,2010,43(9):117―124.(inChinese)
[15]Bachmann H.Human response to vibrations[C]//Institute of Structural Engineering,ETH:VibrationProblems in Structures:Practical Guidelines.Basel,Birkh user Verlag,1995.步频fs/Hz方根加速度均a
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