地震作用下高速列车-线路-桥梁系统动力响应
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摘要
为分析地震对高速列车通过桥梁时行车安全性的影响,基于高速铁路列车-线路-桥梁动力相互作用理论,建立了考虑地震输入的高速列车-线路-桥梁耦合动力学模型.以跨度32 m的简支箱梁桥和双块式无砟轨道为研究对象,对地震作用下高速列车通过桥梁时系统的动力响应进行了数值计算.结果表明:地震对高速列车-线路-桥梁系统动力响应的影响明显,对桥梁横向振动响应的影响大于对竖向振动响应的影响;地震会降低高速列车通过桥梁时的行车安全性和运行平稳性———在水平1.0 m/s2,竖向0.5 m/s2的规格化El Centro地震波作用下,当列车运行速度超过250 km/h时,轮重减载率超过了安全限值;当列车运行速度达300 km/h时,脱轨系数超过了安全限值.因此,评判地震作用下高速列车通过桥梁时的行车安全性,应考虑行车速度的影响.
In order to analyze the effects of seismic excitations on the running safety of a high-speed train passing a bridge,a train-track-bridge dynamic model considering seismic loads was set up based on the train-track-bridge dynamic interaction theory.As an example,a simply supported beam with a span of 32 m and bi-block track was modeled,and the dynamic responses of a high-speed train-track-bridge system under seismic excitations were analyzed.The results show that the effects of an earthquake on the dynamic responses of a high-speed train-track-bridge system is significant,and compared with the vertical response,the lateral response of a bridge is influenced greatly.The running safety and running stability of a train passing a bridge are affected due to seismic loads.When El Centro seismic waves with a normalized horizontal component of 1.0 m/s2 and a normalized vertical component of 0.5 m/s2 are subjected to,the reduction radio of wheel-load exceeds the safety limit if its running speed is greater than 250 km/h,and the derailment coefficient exceeds the safety limit if its running speed reaches to 300 km/h.Therefore,the influences of train speed should be taken into account in evaluating the running safety of a train passing a bridge under seismic excitations.
In order to analyze the effects of seismic excitations on the running safety of a high-speed train passing a bridge,a train-track-bridge dynamic model considering seismic loads was set up based on the train-track-bridge dynamic interaction theory.As an example,a simply supported beam with a span of 32 m and bi-block track was modeled,and the dynamic responses of a high-speed train-track-bridge system under seismic excitations were analyzed.The results show that the effects of an earthquake on the dynamic responses of a high-speed train-track-bridge system is significant,and compared with the vertical response,the lateral response of a bridge is influenced greatly.The running safety and running stability of a train passing a bridge are affected due to seismic loads.When El Centro seismic waves with a normalized horizontal component of 1.0 m/s2 and a normalized vertical component of 0.5 m/s2 are subjected to,the reduction radio of wheel-load exceeds the safety limit if its running speed is greater than 250 km/h,and the derailment coefficient exceeds the safety limit if its running speed reaches to 300 km/h.Therefore,the influences of train speed should be taken into account in evaluating the running safety of a train passing a bridge under seismic excitations.
引文
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[13]ZHAI Wanming.Two simple fast integration methodsfor large-scale dynamic problems in engineering[J].International Journal for Numerical Methods inEngineering,1996,39(24):4199-4214.
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[2]张楠,夏禾.地震对多跨简支梁桥上列车运行安全的影响[J].世界地震工程,2001,17(4):93-99.ZHANG Nan,XIA He.Influence of earthquakes onrunning safety of vehicles on multi-span girders bridge[J].World Information on Earthquake Engineering,2001,17(4):93-99.
[3]韩艳,夏禾,郭薇薇.斜拉桥在地震与列车荷载同时作用下的动力响应分析[J].工程力学,2006,23(1):93-98.HAN Yan,XIA He,GUO Weiwei.Dynamic responseof cable-stayed bridge to running trains and earthquakes[J].Engineering Mechanics,2006,23(1):93-98.
[4]熊建珍,高芒芒,俞韩斌.天兴洲长江大桥斜拉桥在地震作用下的车-桥耦合振动分析[J].中国铁道科学,2006,27(5):54-59.XIONG Jianzhen,GAO Mangmang,YU Hanbin.Vehicle-bridge coupling vibration analysis of cable-stayed bridge of Tianxingzhou Yangtze River bridgeunder earthquakes[J].China Railway Science,2006,27(5):54-59.
[5]YANG Yongbin,WU Yansheng.Dynamic stability oftrains moving over bridges shaken by earthquakes[J].Journal of Sound and Vibration,2002,258(1):65-94.
[6]LADISLAV F B,YAU J D.Suspended bridgessubjected to moving loads and support motions due toearthquake[J].Journal of Sound and Vibration,2009,319(1/2):218-227.
[7]谭长健,祝兵.地震作用下高速列车与桥梁耦合振动分析[J].振动与冲击,2009,28(1):4-9.TAN Changjian,ZHU Bing.Coupled vibration analysisof high speed train and bridge subjected to seismicexcitation[J].Journal of Vibration and Shock,2009,28(1):4-9.
[8]翟婉明,蔡成标,王开云.高速列车-轨道-桥梁动态相互作用原理及模型[J].土木工程学报,2005,38(11):132-137.ZHAI Wanming,CAI Chengbiao,WANG Kaiyun.Mechanism and model of high-speed train-track-bridgedynamic interaction[J].China Civil EngineeringJournal,2005,38(11):132-137.
[9]蔡成标.高速铁路列车-线路-桥梁耦合振动理论及应用研究[D].成都:西南交通大学牵引动力国家重点实验室,2004:50-83.
[10]翟婉明.车辆-轨道耦合动力学[M].3版.北京:科学出版社,2007:38-84.
[11]蔡成标.无砟轨道动力学理论及应用[J].西南交通大学学报,2007,41(3):255-261.CAI Chengbiao.Dynamics of ballastless track and itsapplication[J].Journal of Southwest JiaotongUniversity,2007,41(3):255-261.
[12]范立础.桥梁抗震[M].上海:同济大学出版社,1997:45-48.
[13]ZHAI Wanming.Two simple fast integration methodsfor large-scale dynamic problems in engineering[J].International Journal for Numerical Methods inEngineering,1996,39(24):4199-4214.
[14]陈果,翟婉明.铁路轨道不平顺随机过程的数值模拟[J].西南交通大学学报,1999,34(2):138-142.CHEN Guo,ZHAI Wanming.Numerical simulation ofthe stochastic process of railway track irregularities[J].Journal of Southwest Jiaotong University,1999,34(2):138-142.
[15]中华人民共和国铁道部.TB10621—2009高速铁路设计规范(试行)[S].北京:中国铁道出版社,2010.
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