高速铁路无砟轨道路基动应力概率分布特征及估算方法

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摘要明确高速列车引起的路基动力响应是基床结构设计的关键。采用高速动组-CRTS Ⅲ型无砟轨道-土质路基垂向耦合动力学分析模型，以高速铁路无砟轨道谱生成随机不平顺为激励，分析在行车速度v与轨道谱累积概率λ下的路基面动应力响应特征及统计规律，讨论动应力系数ϕ随机分布的位置和尺度指标μ、β与v、λ内在关系，采用无量纲化技术构建动应力系数ϕ概率估算模型。研究表明：路基面承受的列车动力作用具有显著的随机性，动应力系数ϕ服从Gumbel型极值概率分布，众值μ和离散性β随v、λ增加呈非线性增大趋势；通过引入μ、β受v、λ影响的归一化指数Iμv、Iμλ和Iβv、Iβλ，导出了动应力系数ϕ概率分布参数的二元函数表达μ(v, λ)、β(v, λ)；基于ϕ的累积分布函数，建立了保证率为p的动应力系数分位值估算方程ϕ(v, λ, p)，相较于耦合动力学仿真计算值误差不大于5%。

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	谢宏伟1
	2
	罗强1
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	蒋良潍1
	2
	叶庆志1
	2
	冯桂帅1
	2
	赵明志3

关键词 ：无砟轨道, 路基动应力, 概率分布, 归一化指数, 估算方程

Abstract：Clarifying the dynamic response of the subgrade caused by the high-speed train is the key to the design of the subgrade structure. Applying the vertical coupling dynamic model of high-speed EMU train, CRTS III ballastless track, and soil subgrade, with the random irregularity generated by the high-speed railway ballastless track spectrum as the excitation, to analyze the subgrade surface dynamic stress characteristics and its statistical laws with respect to driving speed v and track spectrum cumulative probability λ, and to discuss the relations between dynamic stress coefficient ϕ's probability distribution parameters(position parameter μ and scale parameter β) and v, λ. Then a probability estimation model of ϕ is to be erected by dimensionless technology. The research shows that the train dynamic action on the subgrade surface has significant randomness, the dynamic stress coefficient ϕ obeys the Gumbel distribution, and the mode value μ and the discreteness β increase nonlinearly with v and λ. By introducing normalized indices Iμv, Iμλ, Iβv, and Iβλ, which are respect to probability distribution parameters μ and β of ϕ, the binary function expressions μ(v, λ) and β(v, λ) are derived. Based on the CDF of ϕ, a quantile value estimation equation ϕ(v, λ, p) with a guaranteed rate p is established. The relative bias is less than 5% compared with the calculated values of coupling dynamic simulation.

Key words： ballastless track subgrade dynamic stress probability distribution normalized index estimation equation

收稿日期: 2022-04-21 出版日期: 2023-06-28

引用本文:

谢宏伟1,2，罗强1,2，蒋良潍1,2，叶庆志1,2，冯桂帅1,2，赵明志3. 高速铁路无砟轨道路基动应力概率分布特征及估算方法[J]. 振动与冲击, 2023, 42(12): 29-38.
XIE Hongwei1,2，LUO Qiang1,2，JIANG Liangwei1,2，YE Qingzhi1,2，FENG Guishuai1,2，ZHAO Mingzhi3. Robability distribution characteristics and an estimation method for dynamic stress of high-speed railway ballastless track subgrade. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(12): 29-38.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I12/29

[1] 朱高明. 国内外无砟轨道的研究与应用综述[J]. 铁道工程学报, 2008(07): 28-30.
ZHU Gaoming. Overall Comments on Study and Application of Ballastless Track at Home and Abroad[J]. Journal of Railway Engineering Society, 2008(07): 28-30.
[2] 刘钢, 罗强, 张良, 等. 列车荷载作用下无砟轨道路基动应力特性分析[J]. 铁道学报, 2013, 35(9): 86-93.
LIU Gang, LUO Qiang, ZHANG Liang, et al. Analysis on the Dynamic Stress Characteristics of the Ballastless Track Subgrade under Train Loading[J]. Journal of the China Railway Society, 2013, 35(9): 86-93.
[3] 张千里, 韩自力, 吕宾林. 高速铁路路基基床结构分析及设计方法[J]. 中国铁道科学, 2005(06): 55-59.
ZHANG Qianli, HAN Zili, LV Binlin. Structural Analysis and Design Method for Subgrade Bed of High-speed Railway[J]. China Railway Science, 2005(06): 55-59.
[4] 翟婉明. 车辆-轨道耦合动力学[M]. 第三版. 北京: 科学出版社.
[5] 日本国有铁道编. 土工结构物设计标准和解说[M]. 丸善株式会社.
[6] 胡一峰, 李怒放. 高速铁路无砟轨道路基设计原理[M]. 北京: 中国铁道出版社, 2010.
[7] 陈虎, 罗强, 张良, 等. 高速铁路CRTS Ⅱ型板式无砟轨道路桥过渡段振动特性测试分析[J]. 振动与冲击, 2014, 33(01): 81-88.
CHEN Hu, LUO Qiang, ZHANG Liang, et al. Test Analysis of Vibration Characteristics of High-speed Railway on CRTS Ⅱ Slab Ballastless Track Bridge-subgrade Transition[J]. Journal of Vibration and Shock, 2014, 33(01): 81-88.
[8] 相颖慧. 遂渝铁路无砟轨道路涵过渡段性能实车测试及路基结构FEM分析[D]. 成都: 西南交通大学, 2008.
XIANG Yinghui. Field Test on Subgrade-culvert Transition Performance of Ballastless Track and Subgrade FEM Analysis on SUI-YU Railway[D]. Chengdu: Southwest Jiaotong University, 2008.
[9] 李佳. 遂渝铁路无砟轨道路隧过渡段实车测试及路基结构FEM计算[D]. 成都: 西南交通大学, 2008.
LI Jia. Field Test on Subgrade-tunnel Transition Section of Ballastless Track on Suining-Chongqing Railway and Subgrade Structure FEM Calculation[D]. Chengdu: Southwest Jiaotong University, 2008.
[10] 颜胜才. 遂渝铁路基床荷载特性及路涵过渡性能试验研究[D]. 成都: 西南交通大学, 2007.
YAN Shengcai. Test Study on Subgrade Load Performance and Road-culvert Transition Performance in SUI-YU Railway[D]. Chengdu: Southwest Jiaotong University, 2007.
[11] 郭志广, 魏丽敏, 何群, 等. 武广高速铁路无砟轨道路基动力响应试验研究[J]. 振动与冲击, 2013, 32(14): 148-152, 163.
GUO Zhi-guang, WEI Li-min, HE Qun, et al. Tests for Dynamic Response of Ballastless Track Subgrade of Wu-Guang High-speed Railway[J]. Journal of Vibration and Shock, 2013, 32(14): 148-152, 163.
[12] 叶阳升, 蔡德钩, 魏少伟, 等. 高速铁路无砟轨道路基动应力分布特征及解析算法[J]. 中国铁道科学, 2020, 41(6):1-9.
YE Yangsheng, CAI Degou, WEI Shaowei, et al. Distribution Characteristics and Analytical Method of Dynamic Stress on Subgrade of Ballastless Track for High-Speed Railway[J]. China Railway Science，2020,41(6):1-9.
[13] BIAN X, JIANG H, CHENG C, et al. Full-scale Model Testing on a Ballastless High-speed Railway under Simulated Train Moving Loads[J]. Soil Dynamics and Earthquake Engineering, 2014, 66: 368-384.
[14] CHEN M, SUN Y, ZHU S, et al. Dynamic Performance Comparison of Different Types of Ballastless Tracks Using Vehicle-track-subgrade Coupled Dynamics Model[J]. Engineering Structures, 2021, 249: 113390.
[15] ZHAI W, WANG K, CAI C. Fundamentals of Vehicle-track Coupled Dynamics[J]. Vehicle System Dynamics, 2009, 47(11): 1349–1376.
[16] 康熊, 刘秀波, 李红艳, 等. 高速铁路无砟轨道不平顺谱[J]. 中国科学:技术科学, 2014, 44(07): 687-696.
Kang X, Liu X B, Li H Y, et al. PSD of Ballastless Track Irregularities of High-speed Railway. Sci Sin Tech, 2014, 44: 687-696.
[17] 陈仁朋, 江朋, 段翔, 等. 高速铁路板式无砟轨道不平顺下路基动应力的概率分布特征[J]. 铁道学报, 2016, 38(09): 86-91.
CHEN Renpeng, JIANG Peng, DUAN Xiang, et al. Probability Distribution of Dynamic Stress of High-speed Subgrade under Slab Track Irregularity[J]. Journal of the China Railway Society, 2016, 38(09): 86-91.
[18] 范生波. 高速铁路无砟轨道路基动响应测试分析[D]. 成都: 西南交通大学, 2010.
FAN Shengbo. Analysis on Experiment of Dynamic Response in Ballastless Track Subgrade of High Speed Railway [D]. Chengdu: Southwest Jiaotong University, 2010.
[19] 黄晶, 罗强, 李佳, 等. 车辆轴载作用下无砟轨道路基面动应力分布规律探讨[J]. 铁道学报, 2010, 32(02): 60-65.
HUANG Jing, LUO Qiang, LI Jia, et al. Analysis on Distribution of Dynamic Stress of Ballastless Track Subgrade Surface under Axle Loading of Vehicle[J]. Journal of the China Railway Society, 2010, 32(2): 60-65.
[20] 佐藤吉彦. 新轨道力学[M]. 北京: 中国铁道出版社.
[21] ALFREDO H-S A, WILSON H. Probability Concepts in Engineering Planning and Design[M]. Canada: Wiley.
[22] 史道济. 实用极值统计方法[M]. 天津: 天津科学技术出版社.
[23] LIU L, TAO C, QIU J, et al. Position-Based Modeling for Wireless Channel on High-Speed Railway under a Viaduct at 2.35 GHz[J]. IEEE Journal on Selected Areas in Communications, 2012, 30(4): 834-845.
[24] 张卫华, 李艳, 宋冬利. 高速列车运动稳定性设计方法研究[J]. 西南交通大学学报, 2013, 48(01): 1-9.
ZHANG Weihua, LI Yan, SONG Dongli. Design Methods for Motion Stability of High-Speed Trains[J]. Journal of Southwest Jiaotong University, 2013, 48(01): 1-9.
[25] 罗强, 张瑞国, 谢宏伟, 等. 400km•h-1高速铁路无砟轨道基床结构及关键参数研究[J].中国铁道科学, 2020, 41(2): 34-44.
LUO Qiang, ZHANG Ruiguo, XIE Hongwei, et al. Structural Analysis and Key Parameter of Ballastless Track Subgrade for 400 km•h-1 High-Speed Railway[J]. China Railway Science, 2020, 41(2): 34-44.
[26] 孙旭, 赵才友, 王平. 橡胶减振垫频变的CRTSⅢ型板式无砟轨道自振特性分析[J]. 铁道学报, 2021, 43(07): 121-127.
SUN XU, ZHAO Caiyou, WANG Ping. Study on Natural Vibration Properties of CRTSⅢ Slab Ballastless Track Considering Frequency-dependent Characteristics of Rubber Damping Pads[J]. Journal of the China Railway Society, 2021, 43(07): 121-127.
[27] GAO D, HUANG Y, YUAN J, et al. Probability Distribution of Bond Efficiency of Steel Fiber in Tensile Zone of Reinforced Concrete Beams[J]. Journal of Building Engineering, 2021, 43: 102550.
[28] 张瑞国, 罗强, 谢宏伟, 等. 轴重40 t重载铁路路基基床结构设计技术探讨[J]. 铁道学报, 2020, 42(04): 131-139.
ZHANG Ruoguo, LUO Qiang, XIE Hongwei, et al. Discussion of Design Technology for Subgrade Structure of 40 t Axle-load Heavy Haul Railway[J]. Journal of the China Railway Society, 2020, 42(04): 131-139.