高速铁路桥梁竖向变形与轨面几何形态的通用映射解析模型研究
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摘要
针对高速铁路常用的32 m简支梁桥及CRTS I型板式无砟轨道结构,通过逐层分析无砟轨道层间结构受力状态,建立了桥梁竖向变形与轨面几何形态的通用映射解析模型。通过对比映射解析模型、有限元模型和室内试验在不同桥梁竖向变形模式下的钢轨变形和扣件力的求解结果及试验数据,验证了映射解析模型的准确性和有效性。提出钢轨变形延伸系数的概念用以描述钢轨及梁体变形区域长度与影响钢轨变形的关键参数之间的关系。通过研究关键参数对钢轨变形的影响,提出了控制钢轨变形的措施。研究结果表明:通用映射解析模型可求解由桥梁竖向变形引起的CRTS I型单元板式无砟轨道钢轨变形。当桥梁发生竖向错台时,钢轨的最大变形值极大程度上取决于错台幅值,且在桥梁竖向变形边界上钢轨会出现"上翘"现象。采用竖向刚度较小的扣件可以使得钢轨变形曲线更平缓。
In view of a 32 m simply-supported beam bridge and CRTSI slab ballastless track structure commonly used in high-speed railway, the stress of the interlayer structure of a ballastless track is analyzed. Then a mapping analytical model of the bridge vertical deformation and the track geometry is established. Through the comparison between the results from the mapping analytical model and finite element model and indoor experimental tests for the rail deformation and fastener force under different bridge vertical deformation modes, the accuracy and effectiveness of the mapping analytical model are verified. The concept of a rail-deformation-elongation coefficient is proposed to describe the relationship between the length of a rail and its beam deformation area and the key parameters affecting rail deformation. Besides, by studying the influence of key parameters on rail deformation, the measures for controlling rail deformation are put forward. The results show that the general mapping analytical model can be used to solve the rail deformation of CRTSI slab-ballastless-track structure caused by bridge vertical deformation. When the vertical beam-fault occurs, the maximum deformation value of the rail depends on the vertical-beam-fault amplitude. The rail will appear ‘up-warping' on the vertical deformation boundary. Besides, using the fastener with smaller stiffness can make the rail-deformation curve gentler.
In view of a 32 m simply-supported beam bridge and CRTSI slab ballastless track structure commonly used in high-speed railway, the stress of the interlayer structure of a ballastless track is analyzed. Then a mapping analytical model of the bridge vertical deformation and the track geometry is established. Through the comparison between the results from the mapping analytical model and finite element model and indoor experimental tests for the rail deformation and fastener force under different bridge vertical deformation modes, the accuracy and effectiveness of the mapping analytical model are verified. The concept of a rail-deformation-elongation coefficient is proposed to describe the relationship between the length of a rail and its beam deformation area and the key parameters affecting rail deformation. Besides, by studying the influence of key parameters on rail deformation, the measures for controlling rail deformation are put forward. The results show that the general mapping analytical model can be used to solve the rail deformation of CRTSI slab-ballastless-track structure caused by bridge vertical deformation. When the vertical beam-fault occurs, the maximum deformation value of the rail depends on the vertical-beam-fault amplitude. The rail will appear ‘up-warping' on the vertical deformation boundary. Besides, using the fastener with smaller stiffness can make the rail-deformation curve gentler.
引文
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[19]Zhang Xiaohui,Shan Yao,Yang Xinwen.Effect of bridge-pier differential settlement on the dynamic response of a high-speed railway train-track-bridge system[J].Mathematical Problems in Engineering,2017(7):1―13.
[20]郭宇,高建敏,孙宇,等.板式无砟轨道轨面变形与路基沉降的映射关系[J].西南交通大学学报,2017,52(6):1139―1147.Guo Yu,Gao Jianmin,Sun Yu,et al.Mapping relationship between rail deflection of slab track and subgrade settlement[J].Journal of Southwest Jiaotong University,2017,52(6):1139―1147.(in Chinese)
[21]郭宇,高建敏,孙宇,等.路基沉降与双块式无砟轨道轨面几何变形的映射关系[J].铁道学报,2016,38(9):92―100.Guo Yu,Gao Jianmin,Sun Yu,et al.Mapping relationship between subgrade settlement and rail deflection of the double-block ballastless track[J].Journal of The China Railway Society,2016,38(9):92―100.(in Chinese)
[22]Yu Feng,Jar P-Y B,Hendry Michael.Effect of temperature on deformation and fracture behaviour of high strength rail steel[J].Engineering Fracture Mechanics,2015,146:41―55.
[23]杨静静,张楠,高芒芒,等.CRTSII型无砟轨道温度翘曲变形及其对车线动力响应的影响[J].工程力学,2016,33(4):210―217.Yang Jingjing,Zhang Nan,Gao Mangmang,et al.Temperature warping and its impact on train-track dynamic response of CRTSII ballastless track[J].Engineering Mechanics,2016,33(4):210―217.(in Chinese)
[24]钟阳龙,高亮,王璞,等.温度荷载下CRTSII型轨道板与CA砂浆界面剪切破坏机理[J].工程力学,2018,35(2):230―238.Zhong Yanglong,Gao Liang,Wang Pu,et al.Mechanism of interfacial shear failure between CRTSII slab and CAmortar under temperature loading[J].Engineering Mechanics,2018,35(2):230―238.(in Chinese)
[25]夏桂云,李传习,曾庆元.Winkler地基上Timoshenko深梁的有限元分析[J].中南大学学报(自然科学版),2010,41(4):1549―1555.Xia Guiyun,Li Chuanxi,Zeng Qingyuan.Finite element formulation of Timoshenko beam on Winkler elastic foundation[J].Journal of Central South University(Science and Technology),2010,41(4):1549―1555.(in Chinese)
[26]魏亚辉.高速铁路无砟轨道桥梁梁端变形相关问题研究[D].北京:中国铁道科学研究院,2012:70―86.Wei Yahui.Research on beam end displacement relevant problems for high-speed railway ballastless track bridge[D].Beijing:China Academy of Railway Sciences,2012:70―86.(in Chinese)
[2]翟婉明,赵春发.现代轨道交通工程科技前沿与挑战[J].西南交通大学学报,2016,51(2):209―226.Zhai Wanming,Zhao Chunfa.Frontiers and challenges of sciences and technologies in modern railway engineering[J].Journal of Southwest Jiaotong University,2016,51(2):209―226.(in Chinese)
[3]何华武.灾害对铁路影响及其防御对策[J].中国铁路,2008,2008(10):1―8.He Huawu.The Influence of Disasters on Railway and Its Solutions[J].Chinese Railway,2008(10):1―8.(in Chinese)
[4]朱志辉,杨乐,王力东,等.地震作用下铁路斜拉桥动力响应及行车安全性研究[J].工程力学,2017,34(4):78―87.Zhu Zhihui,Yang Le,Wang Lidong,et al.Dynamic responses and train running safety of railway cable-stayed bridge under earthquakes[J].Engineering Mechanics,2017,34(4):78―87.(in Chinese)
[5]李凯强.多次地震作用下高速铁路桥墩残余变形累积效应及影响因素研究[D].成都:西南交通大学,2017:2―8.Li Kaiqiang.Accumulative residual deformations and influencing factors of high-speed railway bridge piers subjected to multiple earthquakes[D].Chengdu:Southwest Jiaotong University,2017:2―8.(in Chinese)
[6]凌亮,肖新标,吴磊,等.地震波频谱特性对高速列车动态脱轨行为的影响[J].工程力学,2013,30(1):384―393.Ling Liang,Xiao Xinbiao,Wu Lei,et al.Effect of spectrum characteristics of seismic wave on derailment of high-speed train[J].Engineering Mechanics,2013,30(1):384―393.(in Chinese)
[7]Ju S H.3D analysis of high-speed trains moving on bridges with foundation settlements[J].Archive of Applied Mechanics,2013,83(2):281―291.
[8]王昆鹏,夏禾,郭薇薇,等.桥墩不均匀沉降对高速列车运行安全影响研究[J].振动与冲击,2014,33(6):137―155.Wang Kunpeng,Xia He,Guo Weiwei,et al.Influence of uneven settlement of bridge piers on running safety of high-speed trains[J].Journal of Vibration and Shock,2014,33(6):137―155.(in Chinese)
[9]Gou Hongye,He Yannian,Zhou Wen,Bao Yi,Chen Genda.Experimental and numerical investigations of the dynamic responses of an asymmetrical arch railway bridge[J].Proceedings of the Institution of Mechanical Engineers,Part F:Journal of Rail and Rapid Transit,2018,0(0):1―15.
[10]Gou Hongye,Zhou Wen,Chen Genda,Bao Yi,Pu Qianhui.In-situ test and dynamic response of a double-deck tied-arch bridge[J].Steel and Composite Structures,2018,27(2):161―175.
[11]Ju SH,Leong CC,Ho YS.Safety of maglev trains moving on bridges subject to foundation settlements and earthquakes[J].Journal of Bridge Engineering,2014,19(1):91―100.
[12]吴楠,肖军华,陈建国,等.高速铁路无砟轨道桥梁基础变形对行车的影响[J].铁道工程学报,2017,34(9):58―63.Wu Nan,Xiao Junhua,Chen Jianguo,et al.Effect of bridge pier deformation for high speed railway with ballastless track on train running safety and comfort[J].Journal of Railway Engineering Society,2017,34(9):58―63.(in Chinese)
[13]陈兆玮,孙宇,翟婉明.高速铁路桥墩沉降与钢轨变形的映射关系(I):单元板式无砟轨道系统[J].中国科学:技术科学,2014,44(7):770―777.Chen Zhaowei,Sun Yu,Zhai Wanming.Mapping relationship between pier settlement and rail deformation of high-speed railways-part(I):The unit slab track system[J].Scientia Sinica Technologica,2014,44(7):770―777.(in Chinese)
[14]陈兆玮,孙宇,翟婉明.高速铁路桥墩沉降与钢轨变形的映射关系(II):纵连板式无砟轨道系统[J].中国科学:技术科学,2014,44(7):778―785.Chen Zhaowei,Sun Yu,Zhai Wanming.Mapping relationship between pier settlement and rail deformation of high-speed railways-part(II):The longitudinal connected ballastless track system[J].Scientia Sinica Technologica,2014,44(7):778―785.(in Chinese)
[15]蔡小培,刘薇,王璞,等.地面沉降对路基上双块式无砟轨道平顺性的影响[J].工程力学,2014,31(9):160―165.Cai Xiaopei,Liu Wei,Wang Pu,et al.Effect of land subsidence on regularity of double-block ballastless track[J].Engineering Mechanics,2014,31(9):160―165.(in Chinese)
[16]赵立宁,蔡小培,曲村.地面沉降对路基上单元板式无砟轨道平顺性的影响分析[J].铁道标准设计,2013,2013(10):15―18.Zhao Lining,Cai Xiaopei,Qu Cun.Influence of land subsidence on the regularity of the ballastless track with unit slabs[J].Railway Standard Design,2013,2013(10):15―18.(in Chinese)
[17]蔡小培,梁延科,谭诗宇,等.路基冻胀地区CRTSⅠ型板式无砟轨道结构变形与离缝特征分析[J].北京交通大学学报,2017,41(1):7―13.Cai Xiaopei,Liang Yanke,Tan Shiyu,et al.Deformation and seam characteristics analysis of crtsⅠslab ballastless track in subgrade frost heaving zone[J].Journal of Beijing Jiaotong University,2017,41(1):7―13.(in Chinese)
[18]郭毅.高速铁路路基冻胀变形引起的轨道结构变形特性及其对行车的动力影响研究[D].成都:西南交通大学,2016:39―59.Guo Yi.Study on the Effect of subgrade frost heaving on the deformation properties of track structure and its vehicle dynamic behavior in high-speed railway[D].Chengdu:Southwest Jiaotong University,2016:39―59.(in Chinese)
[19]Zhang Xiaohui,Shan Yao,Yang Xinwen.Effect of bridge-pier differential settlement on the dynamic response of a high-speed railway train-track-bridge system[J].Mathematical Problems in Engineering,2017(7):1―13.
[20]郭宇,高建敏,孙宇,等.板式无砟轨道轨面变形与路基沉降的映射关系[J].西南交通大学学报,2017,52(6):1139―1147.Guo Yu,Gao Jianmin,Sun Yu,et al.Mapping relationship between rail deflection of slab track and subgrade settlement[J].Journal of Southwest Jiaotong University,2017,52(6):1139―1147.(in Chinese)
[21]郭宇,高建敏,孙宇,等.路基沉降与双块式无砟轨道轨面几何变形的映射关系[J].铁道学报,2016,38(9):92―100.Guo Yu,Gao Jianmin,Sun Yu,et al.Mapping relationship between subgrade settlement and rail deflection of the double-block ballastless track[J].Journal of The China Railway Society,2016,38(9):92―100.(in Chinese)
[22]Yu Feng,Jar P-Y B,Hendry Michael.Effect of temperature on deformation and fracture behaviour of high strength rail steel[J].Engineering Fracture Mechanics,2015,146:41―55.
[23]杨静静,张楠,高芒芒,等.CRTSII型无砟轨道温度翘曲变形及其对车线动力响应的影响[J].工程力学,2016,33(4):210―217.Yang Jingjing,Zhang Nan,Gao Mangmang,et al.Temperature warping and its impact on train-track dynamic response of CRTSII ballastless track[J].Engineering Mechanics,2016,33(4):210―217.(in Chinese)
[24]钟阳龙,高亮,王璞,等.温度荷载下CRTSII型轨道板与CA砂浆界面剪切破坏机理[J].工程力学,2018,35(2):230―238.Zhong Yanglong,Gao Liang,Wang Pu,et al.Mechanism of interfacial shear failure between CRTSII slab and CAmortar under temperature loading[J].Engineering Mechanics,2018,35(2):230―238.(in Chinese)
[25]夏桂云,李传习,曾庆元.Winkler地基上Timoshenko深梁的有限元分析[J].中南大学学报(自然科学版),2010,41(4):1549―1555.Xia Guiyun,Li Chuanxi,Zeng Qingyuan.Finite element formulation of Timoshenko beam on Winkler elastic foundation[J].Journal of Central South University(Science and Technology),2010,41(4):1549―1555.(in Chinese)
[26]魏亚辉.高速铁路无砟轨道桥梁梁端变形相关问题研究[D].北京:中国铁道科学研究院,2012:70―86.Wei Yahui.Research on beam end displacement relevant problems for high-speed railway ballastless track bridge[D].Beijing:China Academy of Railway Sciences,2012:70―86.(in Chinese)