无砟轨道路基不均匀沉降区高速列车动力特性

张乾; 蔡小培; 钟阳龙; 王启好; 董博

doi:10.3969/j.issn.0258-2724.20210830

无砟轨道路基不均匀沉降区高速列车动力特性

doi: 10.3969/j.issn.0258-2724.20210830

北京交通大学土木建筑工程学院，北京 100044

基金项目: 国家自然科学基金（52178405）；中央高校基本科研业务费专项资金（2018JBZ003，2020JBZD013）

详细信息

作者简介:
张乾（1993—），男，博士研究生，研究方向为无砟轨道与下部基础变形协调性，E-mail：19115068@bjtu.edu.cn

通讯作者:
蔡小培（1982—），男，教授，博士，研究方向为高速铁路无砟轨道力学特性，E-mail：xpcai@bjtu.edu.cn

中图分类号: U213.1；U213.2
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- 被引次数: 0
出版历程
- 收稿日期: 2021-10-26
- 修回日期: 2022-04-01
- 网络出版日期: 2022-11-02
- 刊出日期: 2022-05-26

Dynamic Characteristics of High-Speed Trains in Differential Subgrade Settlement Zone of Ballastless Track

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

摘要

摘要:
为研究路基不均匀沉降对无砟轨道损伤及高速列车动力响应的影响，基于混凝土塑性损伤理论，建立了可考虑无砟道床混凝土损伤行为的车辆-无砟轨道-路基耦合动力学模型，并与线弹性模型计算结果进行对比，分析路基不均匀沉降波长、幅值及行车速度对高速列车动力学特性的影响. 结果表明：路基不均匀沉降会造成无砟道床损伤，塑性损伤模型计算结果更能反映轨道服役状态；在各车辆动力学指标中，车体垂向加速度受路基沉降幅值影响最大；车辆动力学响应对波长20 m以下的路基不均匀沉降较为敏感，应对其重点关注；行车速度的增大会增加车辆动力响应，使轮轨作用力明显提升，车辆平稳性指标呈现接近线性的增长趋势.
- 路基沉降 /
- 无砟道床 /
- 塑性损伤 /
- 动力分析
Abstract:
To study the effect of differential subgrade settlement on the potential damage of ballastless track and the dynamic response of high-speed trains, based on the concrete plastic damage theory, a vehicle-ballastless track-subgrade coupling dynamic model that considers the ballastless track bed damage is established. The applicability of the model is demonstrated by comparing with the calculation results of the linear elastic model. The effects of subgrade settlement wavelength, amplitude and the vehicle speed on the dynamic characteristics of high-speed trains are analyzed. The results show that, the differential subgrade settlement could cause the damage to ballatless track bed. The results of the concrete plastic damage model of ballastless track are more in line with actual service status of the track. Among the vehicle dynamics indicators, the vertical acceleration of the vehicle body is most affected by the subgrade settlement amplitude. The vehicle dynamics response is sensitive to the differential subgrade settlement with a wavelength below 20 m, so it should be paid more attention to. The increase of the train speed increases the dynamic response of the vehicle, the wheel-rail force increases significantly, and the vehicle stability index shows a nearly linear growth trend.
- subgrade settlement /
- ballastless track bed /
- plastic damage /
- dynamic analysis

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图 1 单轴往复荷载作用下的弹性模量回复

Figure 1. Elastic modulus recovery under uniaxial reciprocating load

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图 2 受拉应力与损伤因子

Figure 2. Tensile stress and damage factor

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图 3 车辆-无砟轨道-路基耦合动力学模型

Figure 3. Coupling dynamics model of vehicle-ballastless track-subgrade

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图 4 轨面变形对比与轨道损伤云图

Figure 4. Rail deformation comparison and nephogram of track damage

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图 5 线弹性与塑性损伤模型结果对比

Figure 5. Comparison of results between linear elastic model and plastic damage model

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图 6 列车运行及轨道状态示意

Figure 6. Schematic of train operation and track status

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图 7 车体垂向加速度

Figure 7. Vertical acceleration of vehicle body

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图 8 垂向轮轨力

Figure 8. Vertical wheel-rail force

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图 9 Sperling指标与轮重减载率

Figure 9. Sperling index and rate of wheel load reduction

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图 10 不同沉降波长下车辆动力学响应

Figure 10. Vehicle dynamic responses under different settlement wavelengths

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图 11 不同速度下车辆动力学响应

Figure 11. Vehicle dynamic responses at different speeds

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表 1 轨道与路基参数取值

Table 1. Parameters of track and subgrade

结构	尺寸	弹模/MPa	泊松比	密度 /（kg·m⁻³）
轨枕	0.8 m × 0.3 m × 0.15 m	36000	0.167	2500
道床板	2.8 m × 0.26 m	32500	0.167	2500
支承层	3.4 m × 0.3 m	25500	0.167	2500
基床表层	厚 0.4 m	180	0.300	2300
基床底层	厚 2.3 m	120	0.300	2000
钢筋	ϕ20 （纵筋）、ϕ16 （横筋）	200000	0.300	7850
钢轨	CHN60	210000	0.300	7850

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表 2 模型计算结果对比

Table 2. Comparison of model calculation results

模型	车体垂向加速度/（m·s⁻²）	轮重减载率	轮轨垂向力/ kN
本文	0.73	0.15	108.69
文献[18]	0.62	0.14	112.68

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参考文献(18)

[1]	XU J M, WANG P, AN B Y, et al. Damage detection of ballastless railway tracks by the impact-echo method[J]. Proceedings of the Institution of Civil Engineers: Transport, 2018, 171(2): 106-114. doi: 10.1680/jtran.16.00146
[2]	郭宇,高建敏,孙宇,等. 板式无砟轨道轨面变形与路基沉降的映射关系[J]. 西南交通大学学报,2017,52(6): 1139-1147,1215. doi: 10.3969/j.issn.0258-2724.2017.06.014 GUO Yu, GAO Jianmin, SUN Yu, et al. Mapping relationship between rail deflection of slab track and subgrade settlement[J]. Journal of Southwest Jiaotong University, 2017, 52(6): 1139-1147,1215. doi: 10.3969/j.issn.0258-2724.2017.06.014
[3]	徐庆元,李斌,周智辉. CRTS- Ⅰ型板式无砟轨道线路路基不均匀沉降限值研究[J]. 中国铁道科学,2012,33(2): 1-6. doi: 10.3969/j.issn.1001-4632.2012.02.01 XU Qingyuan, LI Bin, ZHOU Zhihui. Study on the limited value for the uneven settlement of subgrade under CRTS- Ⅰ type slab track[J]. China Railway Science, 2012, 33(2): 1-6. doi: 10.3969/j.issn.1001-4632.2012.02.01
[4]	ZHANG X H, BURROW M, ZHOU S H. An investigation of subgrade differential settlement on the dynamic response of the vehicle-track system[J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2016, 230(7): 1760-1773. doi: 10.1177/0954409715613538
[5]	GUO Y, ZHAI W M. Long-term prediction of track geometry degradation in high-speed vehicle-ballastless track system due to differential subgrade settlement[J]. Soil Dynamics and Earthquake Engineering, 2018, 113: 1-11. doi: 10.1016/j.soildyn.2018.05.024
[6]	SHAN Y, ZHOU S H, ZHOU H C, et al. Iterative method for predicting uneven settlement caused by high-speed train loads in transition-zone subgrade[J]. Transportation Research Record: Journal of the Transportation Research Board, 2017, 2607(1): 7-14. doi: 10.3141/2607-02
[7]	宋欢平,边学成,蒋建群,等. 高速铁路路基沉降与列车运行速度关联性的研究[J]. 振动与冲击,2012,31(10): 134-140. doi: 10.3969/j.issn.1000-3835.2012.10.029 SONG Huanping, BIAN Xuecheng, JIANG Jianqun, et al. Correlation between subgrade settlement of high-speed railroad and train operation speed[J]. Journal of Vibration and Shock, 2012, 31(10): 134-140. doi: 10.3969/j.issn.1000-3835.2012.10.029
[8]	张克平,石广田,和振兴. 路基不均匀沉降对地铁A型车辆动力学特性影响研究[J]. 振动与冲击,2020,39(17): 165-170. doi: 10.13465/j.cnki.jvs.2020.17.022 ZHANG Keping, SHI Guangtian, HE Zhenxing. Effects of subgrade uneven settlement on dynamic characteristics of metro type A vehicles[J]. Journal of Vibration and Shock, 2020, 39(17): 165-170. doi: 10.13465/j.cnki.jvs.2020.17.022
[9]	CUI X H, XIAO H J. Interface mechanical properties and damage behavior of CRTSⅡ slab track considering differential subgrade settlement[J]. KSCE Journal of Civil Engineering, 2021, 25(6): 2036-2045. doi: 10.1007/s12205-021-0268-6
[10]	向俊,林士财,余翠英,等. 路基冻胀—融化—沉降循环作用下板式无砟轨道受力与变形分析[J]. 中南大学学报(自然科学版),2019,50(8): 2043-2052. XIANG Jun, LIN Shicai, YU Cuiying, et al. Analysis of stress and deformation of slab ballastless track under effect of subgrade frost heaving−melting−settlement cycle[J]. Journal of Central South University (Science and Technology), 2019, 50(8): 2043-2052.
[11]	严晓波,徐光辉. 路基结构性能不均匀对无砟轨道静力影响分析[J]. 铁道学报,2016,38(1): 98-102. doi: 10.3969/j.issn.1001-8360.2016.01.016 YAN Xiaobo, XU Guanghui. Analysis of nonuniform performance of subgrade structure on static effect of ballastless track[J]. Journal of the China Railway Society, 2016, 38(1): 98-102. doi: 10.3969/j.issn.1001-8360.2016.01.016
[12]	CUI X H, LING X. Effects of differential subgrade settlement on damage distribution and mechanical properties of CRTS Ⅱ slab track[J]. Construction and Building Materials, 2021, 271: 121821.1-121821.10.
[13]	中华人民共和国住房和城乡建设部. 混凝土结构设计规范: GB 50010—2010 [S]. 北京: 中国建筑工业出版社, 2011.
[14]	张鲁顺,赵国堂. 高速铁路双块式无砟轨道车辆荷载动态传递特征[J]. 哈尔滨工业大学学报,2020,52(9): 8-16. doi: 10.11918/201905041 ZHANG Lushun, ZHAO Guotang. Dynamic transfer characteristics of vehicle load on double-block ballastless track of high-speed railway[J]. Journal of Harbin Institute of Technology, 2020, 52(9): 8-16. doi: 10.11918/201905041
[15]	CHEN Z W, FANG H. Influence of pier settlement on contact behavior between CRTS Ⅱ track and bridge in high-speed railways[J]. Engineering Structures, 2021, 235: 112007.1-112007.12.
[16]	GAO L, ZHAO W Q, HOU B W, et al. Analysis of influencing mechanism of subgrade frost heave on vehicle-track dynamic system[J]. Applied Sciences, 2020, 10(22): 8097. doi: 10.3390/app10228097
[17]	CAI X P, LIANG Y K, XIN T, et al. Assessing the effects of subgrade frost heave on vehicle dynamic behaviors on high-speed railway[J]. Cold Regions Science and Technology, 2019, 158: 95-105. doi: 10.1016/j.coldregions.2018.11.009
[18]	钟阳龙,马超智,高亮,等. 基于车辆响应的无砟轨道路基不均匀沉降评价指标理论研究[J]. 工程力学,2021,38(12): 147-157. doi: 10.6052/j.issn.1000-4750.2020.11.0854 ZHONG Yanglong, MA Chaozhi, GAO Liang, et al. Theoretical research on evaluation index of uneven settlement of ballastless track subgrade based on vehicle response[J]. Engineering Mechanics, 2021, 38(12): 147-157. doi: 10.6052/j.issn.1000-4750.2020.11.0854