特殊桥梁结构无缝线路附加纵向力计算方法
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摘要
在温度荷载和列车荷载作用下,桥梁和轨道设计应考虑梁体与无缝线路相互作用而产生的附加纵向力。可以采用大型有限元软件建立三维空间耦合的简易实体模型,但对U形梁、变截面梁、钢桁梁等特殊复杂桥梁结构,建模难度大,且模型通常与实际桥梁结构差异较大,影响计算准确性。本文通过理论分析,基于有限元刚度法(位移法),建立无缝线路附加纵向力简易模型,直接加载位移,并利用梁、轨位移与纵向阻力间关系,计算无缝线路各种附加纵向力。选取城市轨道交通、高速铁路2个具体实例,将位移数据通过程序加载至无缝线路模型,求解出附加纵向力。该方法同样适用于其他一些特殊复杂桥梁,弥补了原有模型的不足,计算也更精准简洁。
Under the action of temperature load and the train load,additional longitudinal forces caused by interaction of bridge and CWR should be taken into account during the design of bridge and track. Large finite element software can be used to establish a simple solid model of three-dimensional space coupling.However, it is difficult to model especial complex bridge structures such as U-shaped beam,variable cross-section beam and steel truss beam.Moreover,the model is usually significantly different from the actual bridge structure,which affects the calculation accuracy.By theoretical analysis,a simplified model for the calculation of the additional force of CWR was established based on the finite element stiffness method( displacement method).This model loads the displacement directly,the additional longitudinal force of CWR is calculated by analyzing the relationship between beam,rail displacement and longitudinal resistance. In this paper,through two examples of urban rail transit and high speed railway projects,the displacement data were loaded by the program to the CWR model and the additional longitudinal forces were calculated as the output.This method could also be applid to other special complex bridges,covering the shortage of conciseness of existing calculation models.
Under the action of temperature load and the train load,additional longitudinal forces caused by interaction of bridge and CWR should be taken into account during the design of bridge and track. Large finite element software can be used to establish a simple solid model of three-dimensional space coupling.However, it is difficult to model especial complex bridge structures such as U-shaped beam,variable cross-section beam and steel truss beam.Moreover,the model is usually significantly different from the actual bridge structure,which affects the calculation accuracy.By theoretical analysis,a simplified model for the calculation of the additional force of CWR was established based on the finite element stiffness method( displacement method).This model loads the displacement directly,the additional longitudinal force of CWR is calculated by analyzing the relationship between beam,rail displacement and longitudinal resistance. In this paper,through two examples of urban rail transit and high speed railway projects,the displacement data were loaded by the program to the CWR model and the additional longitudinal forces were calculated as the output.This method could also be applid to other special complex bridges,covering the shortage of conciseness of existing calculation models.
引文
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[13]徐升桥,彭岚平,张华.南广铁路西江特大桥的技术创新[J].铁道标准设计,2013,57(2):50-51.
[2]阴存欣.铁路桥梁纵向附加力的静动力非线性分析与仿真研究[D].北京:铁道部科学研究院,2000:59-61.
[3]蔡成标.高速铁路特大桥上无缝线路纵向力计算[J].西南交通大学学报,2003,3(5):599-612.
[4]中国铁路经济规划研究院.通桥(2016)2368A-Ⅴ-1-09无砟轨道预应力混凝土连续梁(双线)[Z].北京:中国铁路经济规划研究院,2016.
[5]广钟岩,高惠安.铁路无缝线路[M].北京:中国铁道出版社,2010.
[6]LOGAN D L.有限元方法基础教程[M].3版.伍义生,吴永礼,译.北京:电子工业版社,2006.
[7]蒋金洲.桥上无缝线路钢轨附加纵向力及其对桥梁墩台的传递[J].中国铁道科学,1998,19(2):67-69.
[8]王奕然.城市轨道交通高架线U型梁降噪理论与测试[J].都市快轨交通,2013(3):41-43.
[9]林红松,杨吉忠,颜华.高速铁路大跨度钢桁梁斜拉桥轨道型式研究[J],铁道工程学报,2014,31(4):76-78.
[10]International Union of Railways.UIC 774-3—2001 Track/bridge Interaction Recommendations for Calculations[S].Paris:International Union of Railways,2001.
[11]徐辉.高静青.山西中南部重载铁路钢桁梁桥面铺装设计[C]//中国钢结构协会.2014中国钢结构行业大会论文集.北京:中国钢结构协会,2014:20-22.
[12]徐升桥,杨帆.包神线黄河特大桥关键技术研究[J].铁道勘察,2007(增):8-9.
[13]徐升桥,彭岚平,张华.南广铁路西江特大桥的技术创新[J].铁道标准设计,2013,57(2):50-51.