高速列车的关键力学问题

杨国伟; 魏宇杰; 赵桂林; 刘玉标; 曾晓辉; 邢云林; 赖姜; 张营营; 吴晗; 陈启生; 刘秋生; 李家春; 胡开鑫; 杨中平; 刘文正; 王文静; 孙守光; 张卫华; 周宁; 李瑞平; 吕青松; 金学松; 温泽峰; 肖新标; 赵鑫; 崔大宾; 吴兵; 钟硕乔; 周信

doi:10.6052/1000-0992-14-002

文章导航 > 力学进展 > 2015 > 45(1): 201507

杨国伟, 魏宇杰, 赵桂林, 刘玉标, 曾晓辉, 邢云林, 赖姜, 张营营, 吴晗, 陈启生, 刘秋生, 李家春, 胡开鑫, 杨中平, 刘文正, 王文静, 孙守光, 张卫华, 周宁, 李瑞平, 吕青松, 金学松, 温泽峰, 肖新标, 赵鑫, 崔大宾, 吴兵, 钟硕乔, 周信. 高速列车的关键力学问题[J]. 力学进展, 2015, 45(1): 201507. doi: 10.6052/1000-0992-14-002

引用本文:

Guowei YANG, Yujie WEI, Guilin ZHAO, Yubiao LIU, Xiaohui ZENG, Yunlin XING, Jiang LAI, Yingying ZHANG, Han WU, Qisheng CHEN, Qiusheng LIU, Jiachun LI, Kaixin HU, Zhongping YANG, Wenzheng LIU, Wenjing WANG, Shouguang SUN, Weihua ZHANG, Ning ZHOU, Ruiping LI, Qingsong LV, Xuesong JIN, Zefeng WEN, Xinbiao XIAO, Xin ZHAO, Dabin CUI, Bing WU, Shuoqiao ZHONG, Xin ZHOU. Research progress on the mechanics of high speed rails[J]. Advances in Mechanics, 2015, 45(1): 201507. doi: 10.6052/1000-0992-14-002

Citation:

Guowei YANG, Yujie WEI, Guilin ZHAO, Yubiao LIU, Xiaohui ZENG, Yunlin XING, Jiang LAI, Yingying ZHANG, Han WU, Qisheng CHEN, Qiusheng LIU, Jiachun LI, Kaixin HU, Zhongping YANG, Wenzheng LIU, Wenjing WANG, Shouguang SUN, Weihua ZHANG, Ning ZHOU, Ruiping LI, Qingsong LV, Xuesong JIN, Zefeng WEN, Xinbiao XIAO, Xin ZHAO, Dabin CUI, Bing WU, Shuoqiao ZHONG, Xin ZHOU. Research progress on the mechanics of high speed rails[J]. Advances in Mechanics, 2015, 45(1): 201507. doi: 10.6052/1000-0992-14-002

引用本文:

Citation:

Guowei YANG, Yujie WEI, Guilin ZHAO, Yubiao LIU, Xiaohui ZENG, Yunlin XING, Jiang LAI, Yingying ZHANG, Han WU, Qisheng CHEN, Qiusheng LIU, Jiachun LI, Kaixin HU, Zhongping YANG, Wenzheng LIU, Wenjing WANG, Shouguang SUN, Weihua ZHANG, Ning ZHOU, Ruiping LI, Qingsong LV, Xuesong JIN, Zefeng WEN, Xinbiao XIAO, Xin ZHAO, Dabin CUI, Bing WU, Shuoqiao ZHONG, Xin ZHOU. Research progress on the mechanics of high speed rails[J]. Advances in Mechanics, 2015, 45(1): 201507. doi: 10.6052/1000-0992-14-002

高速列车的关键力学问题

doi: 10.6052/1000-0992-14-002

1 中国科学院力学研究所, 北京 100190
2 北京交通大学, 北京 100044
3 西南交通大学, 成都 610031

基金项目: 本文得到国家科技支撑计划项目(2009BAG12A03)、国家973 项目(2011CB711100)、中国科学院知识创新工程重要方向项目(KJCX2-EW-L02-3)、高速铁路基础研究联合基金资助项目(U1134201) 和国家高技术研究发展计划项目(2012AA112002) 等项目的资助.

详细信息

通讯作者:
魏宇杰, 中国科学院力学研究所研究员. 1997 于北京大学获学士学位

中图分类号: U238
计量
- 文章访问数: 7725
- HTML全文浏览量: 603
- PDF下载量: 5999
- 被引次数: 0
出版历程
- 收稿日期: 2013-12-09
- 修回日期: 2014-06-24
- 刊出日期: 2015-08-30

Research progress on the mechanics of high speed rails

1 Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
2 Beijing Jiaotong University, Beijing 100044, China
3 Southwest Jiaotong University, Chengdu 610031, China

More Information

Corresponding author: Yujie WEI

摘要

摘要: 在过去10 年时间, 中国和谐号系列高速列车经历了一系列速度上的飞跃. 在最初引进消化吸收基础上, 研制了新一代高速列车并大规模投入运营, 伴随这一过程的大量试验与工程实践, 大大促进了对高速铁路这样一个车- 线- 网- 气流强耦合的复杂大系统中的关键力学问题的深入理解和全面研究. 该文将从6 个方面对高速列车研制和运行过程中的典型力学问题的研究进展以及未来的研究方向做一个梳理. 考虑到这样一个大系统的复杂性,同时也为了使对高速列车感兴趣的技术与科研人员对这些力学问题有一个比较全面的认识, 文中将分别就高速列车的空气动力学、弓网关系、车体振动与车体模态设计、车体运行稳定性、高速轮轨关系、关键结构的运行可靠性和列车噪声等方面的研究进行总结和展望. 同时也对中国及国际高速列车发展趋势及其中的力学问题做了一个简要介绍.
- 高速列车 /
- 空气动力学 /
- 弓网关系 /
- 车体振动 /
- 运行稳定性 /
- 轮轨关系 /
- 结构可靠性 /
- 噪声
Abstract: As a result of the "Speed Up" campaigns initiated in the end of last centurywhen commercial train service averaged 48 km/h, China now has the world's longest highspeed rail (HSR) network. In the past decade, China Railway High-speed (CRH) has undergone numerous technological innovation to ensure their safe, eco-friendly, and economicaloperation. With the privilege of involving in the construction and operation of such a largescale and long distance HSR network, researchers and engineers in the eld have gained systematic and deep understanding about the dynamic system composed of train, wheels andrails, catenary and pantograph, and aerodynamic resistance. In this review paper, we summarize current research progress covering aerodynamics, catenary-pantograph interaction,dynamics and related issues of carbody, stability analysis, rail-wheel interaction, reliabilityof key components, and mechanisms about noise-generation. At the end, we supply ourperspective about opportunities and challenges for future research and development on themechanics of high speed rail.
- high speed rails /
- aerodynamics /
- catenary-pantograph interaction /
- dynamics and related issues of carbody /
- stability analysis /
- rail-wheel interaction /
- reliability of key components /
- noise-generation

HTML全文

参考文献(73)

[1]	1999 美国铁路标准. AAR 机务标准手册. 美国: 北美铁路协会.
[2]	2003. GB 50017—2003, 钢结构设计规范.
[3]	2010. 北京4 号线轮轨异常磨损机理试验调查分析.
[4]	2012a. CRH380BL 动车组异常噪声跟踪试验.
[5]	2012b. 高速列车减振降噪深化研究.
[6]	2013. 广州地铁3 号线北延线车辆一系簧断裂与轨道弹跳断裂问题测试.
[7]	阿诺德. 2006. 轮对弹性对铁道车辆动力学性能仿真结果的影响. 韩义涛, 叶学艳译. 国外铁道车辆, 43: 30-33 (Arnold J. 2006. The influence of elastic wheelsets on the simulation results of railway vehicle's performance. Han Y T, Ye X Y, trans. Foreign Rolling Stock, 43: 30-33).
[8]	包学海, 池茂儒, 卢耀辉, 杨飞. 2009. 基于子结构法的车辆系统刚柔混合动力学建模方法研究. 铁道机车车辆, 29: 8-11 (Bao X H, Chi M R, Lu Y H, Yang F. 2009. Research on vchiclc system dynamics model of rigid-flexible mixture based on substructure method. Railway Locomotive & Car, 29: 8-11).
[9]	包学海, 楚永萍, 唐永明, 周睿. 2010. 弹性构架对车辆系统振动响应的影响. 铁道车辆, 3: 4-7 (Bao X H, Chu Y P, Tang Y M, Zhou R. 2010. Effect of the elastic frame on the vibration response of the vehicle system. Rolling Stock, 3: 4-7).
[10]	包学海. 2009. 高速客车车体和构架结构振动研究. [硕士论文]. 成都: 西南交通大学(Bao X H. 2009. Study on structure vibration of carbody and bogieframe of high speed passenger car. [Master Thesis]. Chengdu: Southwest Jiaotong University).
[11]	蔡成标, 刘建新, 翟婉明. 2007. 客运专线道岔前后轨道刚度过渡段动力学研究. 中国铁道科学. 28: 18-22 (Cai C B, Liu J X, Zhai W M. 2007. Study on the dynamical performance of the transition sections around the ends of the turnouts on dedicated passenger lines. China Railway Science, 28: 18-22).
[12]	蔡成标, 翟婉明. 1996. 高速铁路接触网静态刚度分析. 西南交通大学学报, 31: 185-190 (Cai C B, Zhai W M. 1996. Analysis of the static stiffness of high-speed railway catenaries. Journal of Southwest Jiaotong University, 31: 185-190).
[13]	蔡成标, 翟婉明. 1997a. 高速铁路接触网振动特性分析. 西南交通大学学报, 32: 497-501 (Cai C B, Zhai W M. 1997a. Analysis on dynamic performances of catenary of high-speed railways. Journal of Southwest Jiaotong University, 32: 497-501).
[14]	蔡成标, 翟婉明. 1997b. 高速铁路受电弓-- 接触网系统动态性能仿真研究. 铁道学报, 19: 38-43 (Cai C B, Zhai W M. 1997b. Study on simulation of dynamic performance of pantograph-catenary system at high speed railway. Journal of the China Railway Society, 19: 38-43).
[15]	蔡成标, 徐鹏. 2011. 弹性支承块式无砟轨道结构参数动力学优化设计. 铁道学报, 33: 69-75 (Cai C B, Xu P. 2011. Dynamic optimization design of the structural parameters of low vibration track. Journal of the China Railway Society, 33: 69-75).
[16]	蔡国华. 2004. 高速列车受电弓气动力特性测量. 流体力学实验与测量, 18: 53-56 (Cai G H. 2004. Aerodynamic characteristic measurements on pantograph of super express train. Experiments and Measurements in Fluid Mechanics, 18: 53-56).
[17]	蔡国华. 2006. 高速列车受电弓低速风洞试验技术. 铁道工程学报, 4: 67-70 (Cai G H. 2006. The experimental technique of pantograph of super express train in low speed wind tunnel. Journal of Railway Engineering Society, 4: 67-70).
[18]	蔡国华. 2007. 高速客车模型气动特性实验研究. 实验流体力学, 21: 27-31 (Cai G H. 2007. An experimental research of aerodynamic characteristics of the high speed passenger train model. Journal of Experiments in Fluid Mechanics, 21: 27-31).
[19]	柴田勝彦. 2005. 东北新干线“疾风” 号低噪声受电弓. 牛晓妮译. 国外铁道车辆, 42: 29-32 (Shibata S. 2005. The “Gale” pantograph with low noise on northeast shinkansen. Niu X N tran. Foreign Rolling Stock, 42: 29-32).
[20]	陈春俊. 2006. 高速列车横向主动、半主动悬挂控制研究. [博士论文]. 成都: 西南交通大学(Chen C J. 2006. Research on active and semi-active control of lateral suspension systems for high speed railway vehicle. [PhD Thesis]. Chengdu: Southwest Jiaotong University).
[21]	陈果, 翟婉明, 左洪福. 2001. 车辆轨道耦合系统随机振动响应特性分析. 交通运输工程学报. 1: 13-16 (Chen G, Zhai W M, Zuo H F. 2001. Analysis of the random vibration responses characteristics of the vehicle-track coupling system. Journal of Traffic and Transportation Engineering, 1: 13-16).
[22]	陈海. 2005. 日本E2 系-1000 型新干线电动车组. 国外铁道车辆. 42: 1-7 (Chen H. 2005. The E2 Series-1000 Shinkansen EMUs in Japan. Foreign Rolling Stock, 42: 1-7).
[23]	陈厚嫦. 1997. 高速轮轨滚动接触问题的研究. [博士论文]. 北京: 铁道部科学研究院中国铁道科学研究院. 陈启生, 李炜. 2011. 高速列车气动噪声数值仿真方法及频谱分析. 中国力学大会2011 暨钱学森诞辰100 周年纪念大会, 计算力学分会场的主题报告(Keynote), 哈尔滨(Chen Q S, Li W. 2011. Aerodynamic noise of the high-speed train numerical simulation method and spectral analysis. The Chinese Conference on Theoretical and Applied Mechanics 2011 in Memorial of Tsien Hsue-Shen's 100th Anniversary, Keynote in the session of Computational Mechanics, Haerbing).
[24]	陈启生, 刘秋生, 李家春. 2012a. 计算声学在高速列车设计中的应用, “基于声学的设计在武器装备发展中的应用”, 第一辑: 430-433 (Chen Q S, Liu Q S, Li J C. 2012. The application of computational acoustics in the design of high speed train. Application of Acoustic Design in the Development of Weapon Equipment, the first series: 430-433).
[25]	陈启生, 刘秋生, 李家春. 2013. 计算声学在高速列车降噪设计中的应用. 基于声学的设计在武器装备发展中的应用, 第二辑: 222-228 (Chen Q S, Liu Q S, Li J C. 2013. Application of computational acoustics in the noise reduction design in high speed train. Application of Acoustic Design in the Development of Weapon Equipment, the second series: 222-228).
[26]	陈启生, 王小永, 姜燕妮. 2012b. 高速列车气动噪声的数值仿真, 中国计算力学大会2012 暨第二届钱令希计算力学奖颁奖大会, 重庆(Chen Q S, Wang X Y, Jiang Y N. 2012. Numerical simulation of aerodynamic noise of high speed train. China Congress on Computational Mechanics 2012 and the Second Qian Lingxi Award Ceremony for Computational Mechanics. Chongqing).
[27]	陈羽. 2012. 高速转向架不同工况疲劳寿命研究. [硕士论文]. 北京: 北京交通大学(Chen Y. 2012. The fatigue life analysis for high-speed bogie in different service conditions. [Master Thesis]. Beijing: Beijing Jiaotong Uniersity).
[28]	陈泽深. 1995. 轮轨间黏着机理的再认识. 铁道机车车辆, 2: 19-26. 陈哲明, 包学海, 富丽娟, 张志刚. 2012. 基于弹性构架的高速列车动力学分析. 现代制造工程, 2: 88-91 (Chen Z M, Bao X H, Fu L J, Zhang Z G. 2012. Dynamic simulation of the high-speed train with elastic frame. Modern Manufacturing Engineering, 2: 88-91).
[29]	池茂儒, 张卫华, 曾京, 戴焕云, 邬平波. 2007. 高速客车转向架悬挂参数分析. 大连交通大学学报, 28: 13-19 (Chi M R, Zhang W H, Zeng J, Dai H Y, Wu P B. 2007. Study of suspension parameter of high speed passenger car bogies. Journal of Dalian Jiaotong University, 28: 13-19).
[30]	池茂儒, 张卫华, 曾京, 金学松, 朱旻旻. 2008. 轮径差对车辆系统稳定性的影响. 中国铁道科学, 29: 65-70 (Chi M R, Zhang W H, Zeng J, Jin X S, Zhu M H. 2008. Influence of wheel diameter difference on the stability of vehicle system. China Railway Science, 29: 65-70).
[31]	崔大宾. 2013. 高速车轮踏面设计方法研究. [博士论文]. 成都: 西南交通大学(Cui D B. 2013. Study on wheel profile design method for high-speed train. [PhD Thesis]. Chengdu: Southwest Jiaotong University).
[32]	崔涛, 张卫华. 2010. 基于姿态变化的列车侧风安全性研究. 铁道学报, 32: 25-29 (Cui T, Zhang W H. 2010. Study on safety of train in side wind with changing attitudes. Journal of The China Railway Society, 32: 25-29).
[33]	崔涛. 2011. 高速列车流固耦合振动及运行安全性研究. [博士论文]. 成都: 西南交通大学(Cui T. 2011. Study on fluid-solid coupling vibration and running safety of high speed trains. [PhD Thesis]. Chengdu: Southwest Jiaotong University).
[34]	丁旺才, 张有强, 谢建华. 2008. 含对称间隙的摩擦振子非线性动力学分析. 摩擦学学报, 28: 155-160 (Ding W C, Zhang Y Q, Xie J H. 2008. Analysis of nonlinear dynamics of dry friction oscillators with symmetric clearance. Tribology, 28: 155-160).
[35]	董锡明. 2006. 现代高速列车技术. 北京: 中国铁道出版社. 方海容, 丁旺才, 孙启国. 2004. 伴随变阻尼作用的干摩擦下的车辆系统非线性动力学分析. 摩擦学学报, 24: 545-549 (Fang H R, Ding W C, Sun Q G. 2004. Nonlinear dynamics of vehicle system with piecewise linear viscous and dry friction damping. Tribology, 24: 545-549).
[36]	方锐, 肖新标, 房建英, 金学松. 2011. 轨道结构参数对其声辐射特性影响. 铁道学报, 33: 78-84 (Fang R, Xiao X B, Fang J Y, Jin X S. 2011. Influence of track structure parameters on acoustic radiation. Journal of the China Railway Society, 33: 78-84).
[37]	房建英, 肖新标, 金学松, 李映辉. 2010. 行车速度对高速列车车轮振动声辐射特性的影响. 机械工程学报, 46: 96-104 (Fang J Y, Xiao X B, Jin X S, Li Y H. 2010. Effect of train speed on acoustic radiation characteristics of high-speed train wheel vibration. Journal of Mechanical Engineering, 46: 96-104).
[38]	冯大建. 2012. 地铁车转向架构架的强度计算与评定. 中国制造业信息化, 1: 29-32 (Feng D J. 2012. Strength analysis and evaluation of metro vihicle bogie frame. Manufacturing Information Engineering of China, 1: 29-32).
[39]	高学军, 李映辉, 高庆. 2008. 高速客车蛇行运动稳定性与分岔研究. 动力学与控制学报, 6: 202-207 (Gao X J, Li Y H, Gao Q. 2008. Hunting stability and bifurcation of high-speed passenger coach. Journal of Dynamics and Control, 6: 202-207).
[40]	高镇同. 1980. 疲劳载荷谱的编制. 航空学报, 2: 36-47. 郭京波. 2006. 高速机车受电弓稳定受流与控制研究. [博士论文]. 北京: 北京交通大学(Guo J B.2006. Stability of current collection and control for high-speed locomotive. [PhD Thesis]. Beijing: Beijing Jiaotong Uniersity).
[41]	郭治军. 2011. CRH3 型动车组动车构架载荷谱编制及演化规律研究. [硕士论文]. 北京: 北京交通大学. 韩署东. 2003. ANSYS 高级技术分析指南. 北京: 机械工业出版社. 何柏岩, 王树新, 高峰, 金大成. 2005. 车辆道路行驶载荷谱测量及推断方法研究. 应用基础与工程科学学报, 12: 424-429 (He B Y,Wang S X, Gao F, Jin D C. 2005. Study on the measurement and prediction method of vehicle road load spectrum. Journal of Basic Science and Engineering, 12: 424-429).
[42]	何皋, 陈清. 2012. 悬挂参数对250km/h 高速机车横向动力学的影响. 电力机车与城轨车辆, 2: 25-30 (He G, Chen Q. 2012. Influence of suspension parameters for lateral dynamics of 250 km/h high-speed locomotive. Electric Locomotives & Mass Transit Vehicles, 2: 25-30).
[43]	何鹏. 2009. 主动悬挂技术的应用与发展. 车辆与动力技术, 1: 57-60 (He P. 2009. Application and development of active suspension technology. Vehicle & Power Technology, 1: 57-60).
[44]	胡用生, 洪春雷, 张济民. 2007. 货车转向架蛇行运动极限环的快速求解方法. 铁道车辆, 45: 4-7 (Hu Y S, Hong C L, Zhang J M. 2007. The rapid solution method for the hunting motion limit cycles on freight car bogies. Rolling Stock, 45: 4-7).
[45]	宦荣华, 焦京海, 苏光辉, 刘天赋, 朱位秋. 2012. 计及接触线垂向不平顺的弓网耦合动力学分析. 铁道学报, 34: 24-29 (Huan R Q, Jiao J H, Su G H, Liu T F, Zhu W Q. 2012. Dynamics of pantographcatenary coupled system with contact wire vertical irregularities. Journal of the China Railway Society, 34: 24-29).
[46]	宦荣华, 宋亚轻, 朱位秋. 2013. 基于相干分析的接触导线高度不平顺不利波长研究. 浙江大学学报 (工学版), 47: 1599-1602 (Huan R H, Song Y Q, Zhu W Q. 2013. Study of detrimental wavelengths of contact wire height irregularity based on coherence analysis. Journal of Zhejiang University (Engineering Science), 47: 1599-1602).
[47]	黄标. 2004. 基于虚拟样机技术的受电弓/接触网系统研究. [博士论文]. 成都: 西南交通大学(Huang B. 2004. Study on the system of pantograph/catenary based on virtual prototyping. [PhD Thesis]. Chengdu: Southwest Jiaotong University).
[48]	黄彩虹. 2012. 高速车辆减振技术研究. [博士论文]. 成都: 西南交通大学(Huang C H. 2012. Study on vibration reduction technologies for high speed cars. [PhD Thesis]. Chengdu: Southwest Jiaotong University).
[49]	黄成荣, 詹斐生. 1994. 机车非线性横向稳定性分析的数值分叉方法. 铁道学报, 16: 1-6 (Huang C R. Zhan F S. 1994. The numerical bifurcation method of nonlinear lateral stability analysis of a locomotive. Journal of the China Railway Society, 16: 1-6).
[50]	黄莎, 梁习锋, 杨明智. 2012. 高速列车车辆连接部位气动噪声数值模拟及降噪研究. 空气动力学学报, 30: 254-259 (Huang S, Liang X F, Yang M Z. 2012. Numerical simulation of aerodynamic noise and noise reduction of high speed train connection section. Acta Aerodynamica Sinica, 30: 254-259).
[51]	黄莎, 杨明智, 李志伟, 徐刚. 2011. 高速列车转向架部位气动噪声数值模拟及降噪研究. 中南大学学报(自然科学版), 42: 3899-3904 (Huang S, Yang M Z, Li Z W, Xu G. 2011. Aerodynamic noise numerical simulation and noise reduction of high-speed train bogie section. Journal of Central South University (Science and Technology), 42: 3899-3904).
[52]	黄莎. 2009. 高速列车车外气动噪声数值模拟研究. [硕士论文]. 长沙: 中南大学(Huang S. 2009. Research on numerical simulation of aerodynamic noise outside the high-speed train. [Master Thesis]. Changsha: Central South University).
[53]	黄盈. 2011. 抗蛇行油行减振器的非线性服役模型及其对电力机车动力学性能的影响. 南昌: 南昌大学(Huang Y. 2011. Nonlinear in-service model of a hydraulic yaw damper and its influence on the dynamics of an electric locomotive. [Master Thesis]. Nanchang: Nanchang University).
[54]	黄照伟, 崔大宾, 杜星, 金学松. 2013. 车轮偏磨对高速列车直线运行性能的影响. 铁道学报, 35: 14-20 (Huang Z W, Cui D B, Du X, Jin X S. 2013. Influence of deviated wear of wheel on performance of high-speed train running on straight tracks. Journal of the China Railway Society, 35: 14-20).
[55]	黄照伟, 崔大宾, 金学松. 2012. 轮径差对高速列车性能的影响. 润滑与密封, 10: 34-40 (Huang Z W, Cui D B, JIn X S. 2012. Influence of wheel-radius difference on the performance of high-speed railway vehicle. Lubrication Engineering, 10: 34-40).
[56]	江晓禹, 金学松. 2004. 轮轨间的液态介质和表面微观粗糙度对接触表面疲劳损伤的影响. 机械工程学报, 40: 18-23 (Jiang X Y, JIn X S. 2004. Influence of liquid and micro-roughness between wheel and rail on the fatigue. Chinese Journal of Mechanical Engineering, 40: 18-23).
[57]	焦帅. 2008. 轨道客车弹性振动分析方法研究. [硕士论文]. 大连: 大连交通大学(Jiao S. 2008. Study on method of elastic vibration analysis of railway coach. [Master Thesis]. Dalian: Dalian Jiaotong University).
[58]	金学松, 沈志云. 2001. 轮轨滚动接触力学的发展. 力学进展, 31: 33-46 (Jin X S, Shen Z Y. 2001. Development of rolling contact mechanics of wheel/rail systems. Advances in Mechanics, 31: 33-46).
[59]	金学松, 张立民. 1988. 轮轨蠕滑力分析计算几种模型的比较. 铁道学报, 20: 50-61.
[60]	金学松, 张卫华. 1996. 非赫兹接触轮轨蠕滑力数表TPLR 的研究. 西南交通大学学报, 31: 646-651 (Jin X S, Zhang W H. 1996. Development of wheel/rail non-hertzian contact creep force table TPLR. Journal of Southwest Jiaotong University, 31: 646-651).
[61]	金学松, 刘启跃, 2004. 轮轨摩擦学. 中国铁道出版社.
[62]	金学松. 2006. 轮轨蠕滑理论及其试验研究. [博士论文]. 成都: 西南交通大学.
[63]	雷晓燕. 2006. 轨道过渡段刚度突变对轨道振动的影响. 中国铁道科学, 27: 42-45 (Lei X Y. 2006. Influences of track transition on track vibration due to the abrupt change of track rigidity. China Railway Science, 27: 42-45).
[64]	李德建, 曾庆元. 1997. 列车直线轨道空间耦合时变系统振动分析. 铁道学报, 19: 101-107. (Li D J, Zeng Q Y. 1997. Dynamic analysis of train-tangent-track space-coupling time-varying system. Journal of the China Railway Society, 19: 101-107).
[65]	李丰良, 李敏, 唐建湘. 2006. 受电弓的建模与参数测试. 中南大学学报: 自然科学版, 37: 194-199 (Li F L, Li M, Tang J X. 2006. Establishment of the pantographs mechanical models and measurement of their parameters. Journal of Central South University (Science and Technology), 37: 194-199).
[66]	李丰良, 孙焰, 粟谦. 1998. TSG3 受电弓的归算质量. 铁道学报, 20: 55-58 (Li F L, Sun Y, Su Q. 1998. Equivalent mass of TSG3 pantagraph. Journal of the China Railway Society, 20: 55-58).
[67]	李丰良, 孙焰. 1998. TSG3 受电弓的力学模型及运动微分方程. 铁道学报, 20: 119-121 (Li F L, Sun Y. 1998. Mechanical models and differential equation of motion for TSG3 pantograph. Journal of the China Railway Society, 20: 119-121).
[68]	李丰良, 粟谦, 孙焰. 1996. 接触网的力学模型及运动微分方程. 长沙铁道学院学报, 14: 90-93 (Li F L, Su Q, Sun Y. 1996. The dynamic model and differential equations of the catenary. Journal of Changsha Railway University, 14: 90-93).
[69]	李军, 邢俊文, 覃文洁. 2002. MSC. ADAMS 实例教程.
[70]	李人宪, 赵晶, 张曙, 彭宇明. 2007. 高速列车风对附近人体的气动作用影响. 中国铁道科学, 28: 98-104 (Li R X, Zhao J, Zhang S, Peng Y M. 2007. Influence of the aerodynamic force to human body near high-speed trains. China Railway Science, 28: 98-104).
[71]	李瑞平, 周宁, 张卫华. 2013. 高速列车过隧道对弓网动力学影响分析. 振动与冲击, 32: 33-37 (Li R P, Zhou N, Zhang W H. 2013. Influence of high-speed trains passing through tunnel on pantograph-catenary dynamic behaviors. Journal of Vibration and Shock, 32: 33-37).
[72]	李瑞平, 周宁, 张卫华. 2013. 基于AR 模型的接触网脉动风场与风振响应. 交通运输工程学报, 13: 56-62 (Li R P, Zhou N, Zhang W H. 2013. Fluctuating wind field and wind-induced vibration response of catenary based on AR model. Journal of Traffic and Transportation Engineering, 13: 56-62).
[73]	李瑞平, 周宁, 张卫华. 2012. 受电弓气动抬升力计算方法与分析. 铁道学报, 34: 26-32 (Li R P, Zhou N, Zhang W H. 2012. Calculation and analysis of pantograph aerodynamic uplift force. Journal of the China Railway Society, 34: 26-32).