首页|基于轨道不平顺的无缝线路稳定性统计分析

基于轨道不平顺的无缝线路稳定性统计分析

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为弥补现有无缝线路稳定性设计未区分轨道平顺性等级的不足,基于轨道不平顺数值模拟方法和无缝线路稳定性有限元分析方法,提出考虑轨道不平顺和道床横向阻力随机性的无缝线路稳定性概率统计分析方法.针对不同半径的铁路线路,研究轨道不平顺、道床横向阻力大小及位置分布随机性对钢轨允许温升分布规律的影响,并与现有无缝线路稳定性分析方法计算结果进行对比.研究结果表明:当道床横向阻力服从正态分布时,单独考虑道床横向阻力大小随机性时,钢轨允许温升近似服从极值I型分布;单独考虑轨道不平顺随机性、同时考虑道床横向阻力大小及位置分布随机性或综合考虑上述3个因素随机性时,钢轨允许温升均服从正态分布;以不少于95％保证率定义的钢轨允许温升标准值及均值随着线路平顺性的改善而增加;不同曲线半径条件下,现有"等波长-有限元"确定的钢轨允许温升与美国五级谱对应钢轨允许温升标准值相近,与其他轨道谱对应结果则存在较大差异;在综合考虑轨道不平顺、道床横向阻力大小及位置分布三因素随机性条件下,建立表征钢轨允许温升分布的均值、标准差及标准值与曲线半径间的显式映射关系,使无缝线路稳定性分析中考虑线路平顺性等级成为了可能.研究结果为进一步优化铁路无缝线路极限状态法设计提供了参考.
Statistical analysis of stability of continuous welded rail with track irregularity
In order to make up the defect that the existing stability design method did not distinguish the level of track regularities,a probabilistic statistical analysis method for the stability of continuous welded rail (CWR) was proposed based on numerical simulation of track irregularities and the finite element method. The proposed analysis method could take into account the randomness of track irregularities and the lateral resistance of ballast bed (LRBB). For railway with different radii,the influences of the randomness of track irregularities and LRBB on the statistical distribution of allowable temperature rise range of rail (ATRR) for CWR were studied. And the results contrast between the proposed method and the existing method was carried out. The results are drawn as follows. When the LRBB is normal,the ATRR considering the randomness of the value of LRBB alone approximately follows the Gumbel distribution. When the randomness of track irregularities is considered solitary,or when the randomness of the value and distribution of LRBB are considered together,or when all of the three factors are considered together,the ATRR follows the normal distribution. The standard value of ATRR defined by a guarantee rate of not less than 95％,and the mean value of ATRR increase as the track regularity is improved. For railway with different radii,the ATRR determined by the existing method of "equal wavelength finite element" is approximately equal to the standard value of ATRR corresponding to the 5th track spectrum for American railway lines,but there are great differences in the corresponding results of alternative track spectrums. Considering the factors of track irregularities and LRBB,the display mapping relationships between the mean value,standard deviation and standard value of ATRR and the curve radius are established. The relations make it possible to distinguish the level of track regularity in the stability analysis of CWR. The research results can provide reference for further optimizing the limit state design method of CWR.

track irregularitycontinuous welded railstabilityallowable temperature rise rangenormal distributionstandard value

谢铠泽、王琪、刘万里、蔡小培、赵维刚

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石家庄铁道大学 基础设施安全与应急铁路行业重点实验室,河北 石家庄 050043

石家庄铁道大学 土木工程学院,河北 石家庄 050043

北京交通大学 土木建筑工程学院,北京 100044

轨道不平顺 无缝线路 稳定性 允许温升 正态分布 标准值

国家自然科学基金国家自然科学基金河北省自然科学基金河北省自然科学基金国能朔黄铁路发展有限责任公司技术开发项目

5200827251978423E2022210046E2021210099GJNY-20-230

2024

10.19713/j.cnki.43-1423/u.T20231170

铁道科学与工程学报
中南大学 中国铁道学会

铁道科学与工程学报

CSTPCD北大核心EI
影响因子：0.837
ISSN：1672-7029
年,卷(期)：2024.21(5)
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