基于大范围空间转动的车-桥耦合振动分析
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摘要
针对偶然外部强激励引起桥梁结构不同支撑发生相对运动时的车-桥耦合振动响应问题,首先利用点接触车-桥耦合动力学模型,建立了非惯性参考视角下的三维车-桥系统的耦合动力学控制方程;然后利用分离变量法对车-桥耦合动力学控制方程进行了分析;并以单跨简支梁为例探讨了梁体转速对车-桥耦合系统动力响应的影响。研究结果表明,偶然外部强激励(如地震)引起桥梁结构发生相对水平转动,由于转动角速度与桥梁结构位移、速度相互耦合,转动角速度的大小对桥梁结构振动响应具有重要影响;对此时的车-桥耦合动力系统采用非惯性参考视角下的模型进行分析,能更全面地反应实际情况,得到更准确的分析结果。
In order to study the problem of vehicle bridge coupling vibration response to the relative motion of bridge structure at different support under the effect of accidental external strong excitation,a type of the close contact vehicle-bridge coupling dynamics model is presented.The separation variable method is performed to analyze the coupling equation and to discuss the dynamic response of the vehicle-bridge coupled system under the non-inertial reference view.With single span beam as an example,the beam body rotation velocity effect on vehicle-bridge dynamic responses of the coupled system is discussed.The researches demonstrated that in occasional strong external incentives(e.g.earthquake)caused the relative horizontal rotation of bridge structure,due to the rotation velocity is coupled with the displacement and velocity of the bridge structure,the angular velocity of rotation has an important influence on the vibration response of the bridge structure,applying the non-inertial reference frame to describe and analyze the vehicle-bridge coupled dynamic system would be more intuitive and convenient,when the bridge structure occur the horizontal rotation motion(relative to the ground)caused by the occasional strong external excitation.
In order to study the problem of vehicle bridge coupling vibration response to the relative motion of bridge structure at different support under the effect of accidental external strong excitation,a type of the close contact vehicle-bridge coupling dynamics model is presented.The separation variable method is performed to analyze the coupling equation and to discuss the dynamic response of the vehicle-bridge coupled system under the non-inertial reference view.With single span beam as an example,the beam body rotation velocity effect on vehicle-bridge dynamic responses of the coupled system is discussed.The researches demonstrated that in occasional strong external incentives(e.g.earthquake)caused the relative horizontal rotation of bridge structure,due to the rotation velocity is coupled with the displacement and velocity of the bridge structure,the angular velocity of rotation has an important influence on the vibration response of the bridge structure,applying the non-inertial reference frame to describe and analyze the vehicle-bridge coupled dynamic system would be more intuitive and convenient,when the bridge structure occur the horizontal rotation motion(relative to the ground)caused by the occasional strong external excitation.
引文
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[2] Jin Z,Pei S,Li X,et al.Effect of vertical ground motion on earthquake-induced derailment of railway vehicles over simply-supported bridges[J].Journal of Sound and Vibration,2016(383):277-294.
[3] Zeng Q,Dimitrakopoulos E G.Derailment mechanism of trains running over bridges during strong earthquakes[J].Procedia Engineering,2017(199):2633-2638.
[4]李慧乐,夏禾,张楠,等.基于车-桥耦合动力分析的桥梁动应力计算方法[J].中国铁道科学,2015,36(1):68-74.LI Hui-le,XIA He,ZHANG Nan,et al.Calculation method for dynamic stress of bridge based on vehicle-bridge coupled dynamic analysis[J].China Railway Science,2015,36(1):68-74.
[5]夏禾,张楠,郭薇薇.车-桥耦合振动工程[M].北京:科学出版社,2014.XIA He,ZHANG Nan,GUO Wei-wei.Coupling vibration of train-bridge system[M].Beijing:Science Press,2014.
[6]陈水生,李孟廷,桂水荣.多车激励公路简支梁车桥耦合振动响应分析[J].武汉理工大学学报,2014,36(3):101-106.CHEN Shui-sheng,LI Meng-ting,GUI Shuirong.Analysis on the vehicle-bridge coupling vibration for highway simple bridges due to moving multi-vehicle loading[J].Journal of Wuhan University of Technology,2014,36(3):101-106.
[7] Xu L,Zhai W.Stochastic analysis model for vehicletrack coupled systems subject to earthquakes and track random irregularities[J].Journal of Sound Vibration,2017(407):209-225.
[8] Zhu Q,Xu Y L,Zhu L D,et al.Vortex-induced vibration analysis of long-span bridges with twinbox decks under non-uniformly distributed turbulent winds[J].Journal of Wind Engineering and Industrial Aerodynamics,2018(172):31-41.
[9] Zhang W,Cai C S,Pan F,et al.Fatigue life estimation of existing bridges under vehicle and non-stationary hurricane wind[J].Journal of Wind Engineering and Industrial Aerodynamics,2014(133):135-145.
[10] Chen N,Li Y,Wang B,et al.Effects of wind barrier on the safety of vehicles driven on bridges[J].Journal of Wind Engineering and Industrial Aerodynamics,2015(143):113-127.
[11] Do T V,Pham T M,Hao H.Dynamic responses and failure modes of bridge columns under vehicle collision[J].Engineering Structures,2018(156):243-259.
[12] Tin V Do,Thong M Pharm,Hong Hao.Numerical investigation of the behavior of precast concrete segmental columns subjected to vehicle collision[J].Engineering Structures,2018(156):375-393.
[13]傅衣铭.结构非线性动力学分析[M].广州.暨南大学出版社,1997.FU Yi-ming.Nonlinear dynamics analysis of structures[M].Guangzhou:Jinan University Press,1997.
[14]Rao S S.Vibration of continuous systems[M].Hoboken:Wiley,2007.
[15] Biggs John M.Introduction to structural dynamics[M].New York:McGraw-Hill,1964.