连续梁桥上有轨电车嵌入式轨道伸缩力分析
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摘要
为研究连续梁桥上有轨电车嵌入式轨道结构在温度荷载作用下的受力变形特性及影响因素,采用线性弹簧模拟梁轨相互作用,建立嵌入式轨道-桥-墩一体化有限元计算模型。以实际工况为例,确定伸缩工况下合理的连续梁两侧简支梁跨数,并探讨梁体温差、高分子材料纵向阻力、小阻力高分子材料铺设范围和桥梁支座布置方案对轨道结构伸缩受力和变形分布规律的影响。研究结果表明:对于多联连续梁桥,当计算伸缩工况时,可取连续梁两侧各5跨简支梁作为边界条件;随着高分子材料纵向阻力的增加,伸缩力逐渐增大,而轨板相对位移逐渐减小,故在设计嵌入式轨道桥上无缝线路时,应综合考虑轨道结构受力和变形的要求;针对本文工况,当从减小钢轨附加伸缩力的角度考虑时,应该选择在连续梁桥左边跨和相邻一跨简支梁上铺设小阻力高分子材料;当桥梁温度跨度较大时,可将连续梁相邻一跨简支梁的固定支座放置在连续梁桥的边墩处,从而使得连续梁桥温度跨度减小。
In order to study the force and deformation characteristics of embedded track structure of tram on continuous beam bridge under temperature loading and its influencing factors, an integrated finite element model of embedded track-bridge-pier was established by using linear spring to simulate the interaction of beam and rail. Taking the actual working conditions as an example, the reasonable span number of the simple beam on both sides of the continuous beam under the working condition of the expansion-constriction was determined. And the influence of the beam temperature difference, the longitudinal resistance of polymer materials, the laying range of small-resistance polymer materials and the bridge abutment arrangement on the distribution law of stress and deformation of track structure was also discussed. The results show that for the multi joint continuous beam bridge, when calculating the expansion-constriction working conditions, it is advisable to use five simply supported beams on both sides of the continuous beam as the boundary conditions. With the increase of the longitudinal resistance of polymer materials, the expansion-constriction force will increase gradually and the relative displacement between rail and substructure will decrease gradually. Therefore, when designing the embedded track CWR on bridge, the stress and deformation of the track structure should be considered synthetically. Thirdly, according to the condition of this paper, from the point of view of reducing the additional expansion-constriction force of rail, the small resistance polymer material should be laid on the left span of the continuous beam bridge and the adjacent one-span simply supported beam. Finally, when the bridge temperature span is large, the fixed support of the adjacent span simply supported beam can be placed on the side pier of the continuous beam bridge, so that the temperature span of the continuous beam bridge decreases.
In order to study the force and deformation characteristics of embedded track structure of tram on continuous beam bridge under temperature loading and its influencing factors, an integrated finite element model of embedded track-bridge-pier was established by using linear spring to simulate the interaction of beam and rail. Taking the actual working conditions as an example, the reasonable span number of the simple beam on both sides of the continuous beam under the working condition of the expansion-constriction was determined. And the influence of the beam temperature difference, the longitudinal resistance of polymer materials, the laying range of small-resistance polymer materials and the bridge abutment arrangement on the distribution law of stress and deformation of track structure was also discussed. The results show that for the multi joint continuous beam bridge, when calculating the expansion-constriction working conditions, it is advisable to use five simply supported beams on both sides of the continuous beam as the boundary conditions. With the increase of the longitudinal resistance of polymer materials, the expansion-constriction force will increase gradually and the relative displacement between rail and substructure will decrease gradually. Therefore, when designing the embedded track CWR on bridge, the stress and deformation of the track structure should be considered synthetically. Thirdly, according to the condition of this paper, from the point of view of reducing the additional expansion-constriction force of rail, the small resistance polymer material should be laid on the left span of the continuous beam bridge and the adjacent one-span simply supported beam. Finally, when the bridge temperature span is large, the fixed support of the adjacent span simply supported beam can be placed on the side pier of the continuous beam bridge, so that the temperature span of the continuous beam bridge decreases.
引文
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[9]蔡敦锦,颜乐,李悦,等.桥梁参数对桥上无缝线路伸缩力的影响分析[J].铁道标准设计,2014,58(7):30-34.CAI Dunjin,YAN Le,LI Yue,etc.Analysis on how bridge parameters affect the expansion and contraction force of continuous welded rail on bridge[J].Railway Standard Design,2014,58(7):30-34.
[10]王平,谢铠泽.连续刚构桥上无缝线路计算模型及方法的简化[J].中南大学学报(自然科学版),2015,46(7):2735-2743.WANG Ping,XIE Kaize.Simplification for calculation model and method of CWR on continuous rigid frame bridge[J].Journal of Central South University(Science and Technology),2015,46(7):2735-2743.
[11]于向东,沙嵩,闫斌.客货共线大跨度简支钢桁梁桥梁轨相互作用[J].湖南大学学报(自科版),2014,41(6):106-111.YU Xiangdong,SHA Song,YAN Bin.Analysis of deflection force and deformation for CRTSⅠballastless track on simply supported bridge[J].Journal of Hunan University(Natural Sciences),2014,41(6):106-111.
[12]曲村,高亮,乔神路,等.高速铁路长大桥梁CRTSⅠ型双块式无砟轨道无缝线路影响因素分析[J].铁道工程学报,2011,28(3):46-51.QU Cun,GAO Liang,QIAO Shenlu,et al.Analysis of influence factors on CRTS I double-block ballastless track CWR on long-span bridge of high speed railway[J].Journal of Railway Engineering Society,2011,28(3):46-51.
[13]胡燚斌.地铁用嵌入式轨道桥上无缝线路研究[D].成都:西南交通大学,2017.HU Yibin.Studies of the continuously welded rail on bridge with embedded track for metro[D].Chengdou:Southwest Jiaotong University,2017.
[2]LING L,HAN J,XIAO X,et al.Dynamic behavior of an embedded rail track coupled with a tram vehicle[J].Journal of Vibration&Control,2016.
[3]曲村.高速铁路长大桥梁无砟轨道无缝线路设计理论及方法研究[D].北京:北京交通大学,2013.QU Cun.The design theory and method of ballastlessl CWR on long span bridge of high speed railway[D].Beijing:Beijing Jiaotong University,2013.
[4]张鹏飞,桂昊,高亮,等.简支梁桥上Ⅰ型板式无砟轨道挠曲受力与变形[J].铁道工程学报,2017,34(5):15-19.ZHANG Pengfei,GUI Hao,GAO Liang,et al.Analysis of deflection force and deformation for CRTSⅠballastless track on simply supported bridge[J].Journal of Railway Engineering Society,2017,34(5):15-19.
[5]于向东,吴志花,闫斌.多线铁路拱加劲连续梁桥上无缝线路梁格模型[J].湖南大学学报(自科版),2015,42(9):76-81.YU Xiangdong,WU Zhihua,YAN Bin.Grillage models of CWR on continuous beam-arch composite railway bridges with multi-track[J].Journal of Hunan University(Natural Sciences),2015,42(9):76-81.
[6]LIU W S,DAI G L.Additional longitudinal expansion force between continuous welded rails and extra-long continuous bridges of high-speed railway[J].Applied Mechanics&Materials,2012,178-181:2304-2307.
[7]Okelo R,Olabimtan A.Nonlinear rail-structure interaction analysis of an elevated skewed steel guideway[J].Journal of Bridge Engineering,2011,16(3):392-399.
[8]Ruge P,Widarda D R,Bagayoko L.Longitudinal track-bridge interaction due to sudden change of coupling interface[J].Computers&Structures,2009,87(1):47-58.
[9]蔡敦锦,颜乐,李悦,等.桥梁参数对桥上无缝线路伸缩力的影响分析[J].铁道标准设计,2014,58(7):30-34.CAI Dunjin,YAN Le,LI Yue,etc.Analysis on how bridge parameters affect the expansion and contraction force of continuous welded rail on bridge[J].Railway Standard Design,2014,58(7):30-34.
[10]王平,谢铠泽.连续刚构桥上无缝线路计算模型及方法的简化[J].中南大学学报(自然科学版),2015,46(7):2735-2743.WANG Ping,XIE Kaize.Simplification for calculation model and method of CWR on continuous rigid frame bridge[J].Journal of Central South University(Science and Technology),2015,46(7):2735-2743.
[11]于向东,沙嵩,闫斌.客货共线大跨度简支钢桁梁桥梁轨相互作用[J].湖南大学学报(自科版),2014,41(6):106-111.YU Xiangdong,SHA Song,YAN Bin.Analysis of deflection force and deformation for CRTSⅠballastless track on simply supported bridge[J].Journal of Hunan University(Natural Sciences),2014,41(6):106-111.
[12]曲村,高亮,乔神路,等.高速铁路长大桥梁CRTSⅠ型双块式无砟轨道无缝线路影响因素分析[J].铁道工程学报,2011,28(3):46-51.QU Cun,GAO Liang,QIAO Shenlu,et al.Analysis of influence factors on CRTS I double-block ballastless track CWR on long-span bridge of high speed railway[J].Journal of Railway Engineering Society,2011,28(3):46-51.
[13]胡燚斌.地铁用嵌入式轨道桥上无缝线路研究[D].成都:西南交通大学,2017.HU Yibin.Studies of the continuously welded rail on bridge with embedded track for metro[D].Chengdou:Southwest Jiaotong University,2017.