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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振动与冲击 ›› 2023, Vol. 42 ›› Issue (12) : 29-38.

论文

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

作者信息 +

Robability distribution characteristics and an estimation method for dynamic stress of high-speed railway ballastless track subgrade

XIE Hongwei1,2，LUO Qiang1,2，JIANG Liangwei1,2，YE Qingzhi1,2，FENG Guishuai1,2，ZHAO Mingzhi3

Author information +

文章历史 +

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%。

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.

导出引用

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[J]. Journal of Vibration and Shock, 2023, 42(12): 29-38

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