行波效应下铁路简支梁桥梁轨系统地震响应
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摘要
基于多点激励的大质量法,采用非线性杆单元模拟梁轨接触,建立了考虑地震动行波效应的简支梁桥梁轨相互作用模型。以沪昆线上某5-32m简支梁桥为算例,分析了行波效应作用下轨道结构对桥梁地震响应的影响,研究了行波效应下钢轨和墩台的受力特性,并对相关参数的影响做了探讨。研究表明:行波效应下轨道结构将大大增强梁体和下部结构的地震响应;轨道对行波效应极为敏感,视波速越低轨道和墩台受力越大;支座布置形式和桥墩刚度突变对相邻桥墩受力影响显著;随着简支梁跨数的增加,钢轨和桥台受力逐渐增大并趋近于一定值。
Based on the large-mass method of multi-point excitation,the nonlinear bar element was used to simulate the beam-track contact.The track-structure interaction model of simply-supported beams was established for the first time with considering the seismic traveling wave effect.Taking 5-32 m simply-supported beams on the Shanghai-Kunming line as a case,the impact of track on the seismic performance of the bridge was analyzed under traveling wave effect.The force law of the track and pier was studied,and the influence of parameters was discussed.Studies have shown that the seismic response of the beam and substructure increases greatly under the traveling wave effect;the track is extremely sensitive to the traveling wave effect;the lower the apparent velocity is,the larger the force exerted on the track and pier is;the bearing arrangement and the sudden change of the pier stiffness significantly affect the force of the adjacent piers;with the increase of the number of spans,the track and pier force gradually increase and approach a fixed value.
Based on the large-mass method of multi-point excitation,the nonlinear bar element was used to simulate the beam-track contact.The track-structure interaction model of simply-supported beams was established for the first time with considering the seismic traveling wave effect.Taking 5-32 m simply-supported beams on the Shanghai-Kunming line as a case,the impact of track on the seismic performance of the bridge was analyzed under traveling wave effect.The force law of the track and pier was studied,and the influence of parameters was discussed.Studies have shown that the seismic response of the beam and substructure increases greatly under the traveling wave effect;the track is extremely sensitive to the traveling wave effect;the lower the apparent velocity is,the larger the force exerted on the track and pier is;the bearing arrangement and the sudden change of the pier stiffness significantly affect the force of the adjacent piers;with the increase of the number of spans,the track and pier force gradually increase and approach a fixed value.
引文
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[2]DAVIS S G.Controlling track-structure interaction inseismic conditions[A].Track-Bridge Interaction onHigh-Speed Railways[C].London:Taylor&FrancisGroup,2007:29—35.
[3]黄艳,阎贵平,刘林.轨道约束对铁路桥梁纵向地震反应特性的影响[J].铁道学报,2002,24(5):124—128.HUANG Yan,YAN Gui-ping,LIU Lin.Effects ofrail restraints on longitudinal seismic response of rail-way bridges[J].Journal of the China Railway Socie-ty,2002,24(5):124—128.
[4]周国良,李小军,刘必灯,等.大质量法在多点激励分析中的应用误差分析与改进[J].工程力学,2011,28(1):48—54.ZHOU Guo-liang,LI Xiao-jun,LIU Bi-deng,et al.Error analysis and improvements of large mass methodused in multi-support seismic excitation analysis[J].Engineering Mechanics,2011,28(1):48—54.
[5]杨庆山,刘文华,田玉基.国家体育场在多点激励作用下的地震反应分析[J].土木工程学报,2008,41(1):36—41.YANG Qing-shan,LIU Wen-hua,TIAN Yu-ji.Re-sponse analysis of national stadium under specially var-iable earthquake ground motions[J].China Civil En-gineering Journal,2008,41(1):36—41.
[6]铁路无缝线路设计规范(送审稿)[S].北京:铁道部经济规划研究院,2008.Code for Railway CWR Design(draft)[S].Beijing:Institute of Economic Planning Ministry of Railways,2008.
[7]闫斌,戴公连.高速铁路斜拉桥上无缝线路纵向力研究[J].铁道学报,2012,34(3):83—87.YAN Bin,DAI Gong-lian.CWR Longitudinal force ofcable-stayed bridge on high-speed railway[J].Journalof the China Railway Society,2012,34(3):83—87.
[8]DAI Gong-lian,YAN Bin.Longitudinal forces of con-tinuously welded rail on high-speed railway cable-stayed bridge considering impact of adjacent bridges[J].Journal of Central South University,2012,19(8):2 348—2 353.
[9]UnionInterationale des Chemins de fer.UIC Code 774-3R,Track/bridge interaction.Recommendations forcalculations[S].Paris:International Union of Rail-ways,2001.
[10]郑永来,周橙,黄炜,等.动态弹性模量的实验研究[J].河海大学学报,1998,26(2):32—35.ZHENG Yonglai,ZHOU Chen,HUANG Wei,et al.Experimental study on dynamic elastic modulus[J].Journal of Hohai University,1998,26(2):32—35.
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