Study on Compatibility and Safety of Super-slope Bridge and Rack System of Rack Railway

doi:10.3901/JME.2023.18.312

Abstract

Abstract: Super-slope bridge structure is used in rack railway of a newly planned mountainous area in China. During operation (especially under the action of temperature), due to the different structural continuity between the bridge and the rack, the longitudinal expansion and contraction deformation of the bridge end is much larger than that of the rack, which leads to excessive local stress of the rack, resulting in structural damage and threatening the safety of vehicles. Aiming at the problem of nonlinear dynamic interaction of vehicle-rack (track)-bridge system caused by temperature load, based on the vehicle-track coupling dynamics theory, the research method and theoretical model of nonlinear dynamic interaction of vehicle-rack (track)-bridge system under temperature load are established by considering the nonlinear meshing behavior of gear-rack and the nonlinear contact behavior of wheel-track. On this basis, the effects of temperature load, gear-rack action, wheel-rail action and multi-load coupling action on the mechanical characteristics of rack, such as deformation, vibration and stress, are studied, and the method to ensure the adaptability and driving safety of the bridge rack system with super-slope is proposed. The results show that under different loads, the deformation of the bridge and the rack near the bridge gap is out of harmony, and the rack and bolts are broken, which seriously threatens the safety of the rack system. The main frequency of rack vibration is about 100 Hz; The stress of rack is mainly tensile stress and bending stress, and the maximum rack stress is 898 MPa, which exceeds the tensile strength of rack. The maximum shear stresses of bolts between fastener and rack and between fastener and sleeper are 1.51×10³ MPa, reaching 643% of the shear strength of bolts. elastic fasteners are suggested to be used to connect racks and sleepers, which can effectively reduce stress in rack and bolts, and ensure the safety of rack system. The research results can provide theoretical basis for the early design and later operation and maintenance of rack railway in China.

Key words: vehicle-rack (track)-bridge interaction, rack railway, super-slope bridge, operation safety, dynamic characteristics

CLC Number:

CHEN Zhaowei, WANG Lang, YUAN Miao, LI Shihui, PU Qianhua, Yang Jizhong, Chen Zhihui. Study on Compatibility and Safety of Super-slope Bridge and Rack System of Rack Railway[J]. Journal of Mechanical Engineering, 2023, 59(18): 312-326.

References

[1] 刘怀举,张博宇,朱才朝,等. 齿轮接触疲劳理论研究进展[J]. 机械工程学报,2022,58(3):95-120. LIU Huaiju,ZHANG Boyu,ZHU Caichao,et al. Research progress of gear contact fatigue theory[J]. Journal of Mechanical Engineering,2022,58(3):95-120.
[2] 陈再刚,唐亮,杨吉忠,等. 齿轨铁路导入装置动力学特性[J]. 交通运输工程学报,2022,22(1):122-132. CHEN Zaigang,TANG Liang,YANG Jizhong,et al. Dynamic characteristics of introduction device in rack railway[J]. Journal of Traffic and Transportation Engineering,2022,22(1):122-132.
[3] 师陆冰,李群,郭俊,等. 不同工况下轮轨黏着-蠕滑曲线特性[J]. 机械工程学报,2019,55(10):151-157. SHI Lubing,LI Qun,GUO Jun,et al. Characteristics of wheel-rail adhesion-creep curve under different working conditions[J]. Journal of Mechanical Engineering,2019,55(10):151-157.
[4] Chen Z,Li S. Dynamic evaluation and optimization of layout mode of traction motor in rack vehicle[J]. Nonlinear Dynamics,2021,106(4):3025-3050.
[5] 舒睿洪,陈志辉,杨吉忠,等. 山地齿轨系统结构特点及关键参数选型设计[J]. 铁道工程学报,2021,38(9):24-28,67. SHU Ruihong,CHEN Zhihui,YANG Jizhong,et al. Structural characteristics of mountain rack system and selection design of key parameters[J]. Journal of Railway Engineering Society,2021,38(9):24-28,67.
[6] 冯青松,廖春明,孙魁,等. 温度荷载对连续梁桥上无砟轨道变形特性影响分析[J]. 铁道科学与工程学报,2021,18(9):2280-2288. FENG Qingsong,LIAO Chunming,SUN Kui,et al. Analysis of the influence of temperature load on the deformation characteristics of ballastless track on continuous beam bridge[J]. Journal of Railway Science and Engineering,2021,18(9):2280-2288.
[7] 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. Shear failure mechanism of interface between CRTSⅡ track slab and CA mortar under temperature load[J]. Engineering Mechanics,2018,35(2):230-238.
[8] 朱志辉,刘杰,周智辉,等. 考虑温度变形的大跨度拱桥行车动力响应分析[J]. 铁道工程学报,2019,36(3):26-31,44. ZHU Zhihui,LIU Jie,ZHOU Zhihui,et al. Dynamic response analysis of long-span arch bridge considering temperature deformation[J]. Journal of Railway Engineering,2019,36(3):26-31,44.
[9] 尹邦武,杨峰,郭向荣,等. 温度变形对大跨度钢箱系杆拱桥车桥动力响应的影响[J]. 铁道科学与工程学报,2013,10(6):21-27. YIN Bangwu,YANG Feng,GUO Xiangrong,et al. Influence of temperature deformation on dynamic response of long-span steel box tie arch bridge[J]. Journal of Railway Science and Engineering,2013,10(6):21-27.
[10] 田园,张楠,孙奇,等. 温度效应对铁路钢桥行车性能影响研究[J]. 振动与冲击,2015,34(12):94-100. TIAN Yuan,ZHANG Nan,SUN Qi,et al. Influence of temperature on performance of railway steel bridge[J]. Journal of Vibration and Shock,2015,34(12):94-100.
[11] SCHLUNEGGER H. Modern rack railways[J]. ZEA Rail Glasers Annalen,2002,126(Suppl.):267-278.
[12] JOY X,STEVE S,ANDREW D. The effect of overloading sequences on landing gear fatigue damage[J]. International Journal Fatigue,2009,31(11):1837-1847.
[13] MARTIN D,HEINER V,ANDRE R. Sicherheitsnachweis zahnstangensysteme von zahnradbahnen[J]. Der Eisenbahningenieur,2005,56(9):50-56. MARTIN D,HEINER V,ANDRE R. Safety certificate rack and pinion systems of rack railways[J]. Der Eisenbahningenieur,2005,56(9):50-56.
[14] 余浩伟,章玉伟. 齿轨铁路技术特点与应用展望研究[J]. 铁道工程学报,2020,37(10):6-10. YU Haowei,ZHANG Yuwei. Research on technical characteristics and application prospect of rack railway[J]. Journal of Railway Engineering,2020,37(10):6-10.
[15] 牛悦丞,李芾,丁军君,等. 齿轨铁路发展及应用现状综述[J]. 铁道标准设计,2019,63(12):37-43. NIU Yuecheng,LI Fu,DING Junjun,et al. Review on development and application of rack railway[J]. Railway Standard Design,2019,63(12):37-43.
[16] 沈健. 山地齿轨旅游交通系统技术及应用研究[J]. 机械工程与自动化,2020(4):222-224. SHEN Jian. Research on technology and application of mountain rack tourism transportation system[J]. Mechanical Engineering and Automation,2020(4):222-224.
[17] 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. Influence of ground settlement on ride comfort of double-block ballastless track on subgrade[J]. Engineering Mechanics,2014,31(9):160-165.
[18] 张乾,蔡小培,蔡向辉,等. 齿轨铁路轨道-简支梁桥相互作用及轨缝合理位置研究[J]. 工程力学,2021,38(3):248-256. ZHANG Qian,CAI Xiaopei,CAI Xianghui,et al. Research on the interaction between rack and simply supported beam bridge and beasonable location of rail joints in toothed rail railway[J]. Engineering Mechanics,2021,38(3):248-256.
[19] 张健,金学松,肖新标,等. 车辆-轨道耦合动力学钢轨模型求解方法[J]. 交通运输工程学报,2011,11(2):32-38. ZHANG Jian,JIN Xuesong,XIAO Xinbiao,et al. Method for solving rail model of vehicle-track coupling dynamics[J]. Journal of Traffic and Transportation Engineering,2011,11(2):32-38.
[20] 孙文静,周劲松,宫岛. 基于Timoshenko梁模型的车辆-轨道耦合系统垂向随机振动分析[J]. 机械工程学报,2014,50(18):134-141. SUN Wenjing,ZHOU Jinsong,GONG Dao. Analysis of vertical random vibration of vehicle-track coupling system based on Timoshenko beam model[J]. Journal of Mechanical Engineering,2014,50(18):134-141.
[21] 王党雄,李小珍,梁林. 中低速磁浮列车-桥梁系统竖向耦合振动理论分析与试验验证[J]. 土木工程学报,2019,52(8):81-90. WANG Dangxiong,LI Xiaozhen,LIANG Lin. Theoretical analysis and experimental verification of vertical coupling vibration of medium and low speed maglev train-bridge system[J]. Journal of Civil Engineering,2019,52(8):81-90.
[22] 菅光霄,王优强,于晓,等. 振动与接触冲击耦合作用下的齿轮弹流润滑研究[J]. 振动与冲击,2020,39(21):226-232. JIAN Guangxiao,WANG Youqiang,YU Xiao,et al. Study on elastohydrodynamic lubrication of gear under vibration and contact shock coupling[J]. Vibration and Shock,2020,39(21):226-232.
[23] ALONSO A,GUIRAL A,BAEZA L. Wheel-rail contact:experimental study of the creep forces-creepage relationships[J]. Vehicle System Dynamics International Journal of Vehicle Mechanics & Mobility,2014(55):469-487.
[24] 翟婉明. 车辆-轨道耦合动力学[M]. 北京:科学出版社,2015. ZHAI Wanming. Vehicle-track coupled dynamics[M]. Beijing:Science Press,2015.
[25] 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(11):132-137. ZHAI Wanming,CAI Chengbiao,WANG Kaiyun. Principle and model of dynamic interaction between high-speed train,track and bridge[J]. Journal of Civil Engineering,2005(11):132-137.
[26] 陈兆玮,翟婉明. 基于列车振动的高速铁路桥墩沉降控制阈值[J]. 交通运输工程学报,2022,22(2):136-147. CHEN Zhaowei,ZHAI Wanming. Control threshold of high-speed railway pier settlement based on train vibration[J]. Journal of Transportation Engineering,2022,22(2):136-147.
[27] 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 railway (I):unit plate ballastless track system[J]. Science China Technical Sciences,2014,44(7):770-777.
[28] 陈兆玮. 高速铁路桥墩沉降对行车性能影响的研究[D]. 成都:西南交通大学,2017. CHEN Zhaowei. Research on influence of pier settlement on traffic performance of high-speed railway[D]. Chengdu:Southwest Jiaotong University,2017.
[29] 牛留斌,刘金朝. 基于高频轮轨接触模型的轨道短波不平顺敏感波长特性分析[J]. 机械工程学报,2019,55(8):173-182. NIU Liubin,LIU Jinchao. Analysis of sensitive wavelength characteristics of track short-wave irregularity based on high-frequency wheel-rail contact model[J]. Journal of Mechanical Engineering,2019,55(8):173-182.