[1]娄平,赵永超..高速铁路随机振动轨道动力响应的概率分析[J].郑州大学学报(工学版),2010,31(02):59.[doi:10.3969/j.issn.1671-6833.2010.02.014]
　Lou Ping,Zhao Yongchao.Probabilistic analysis of dynamic response of random vibration track of high-speed railway[J].Journal of Zhengzhou University (Engineering Science),2010,31(02):59.[doi:10.3969/j.issn.1671-6833.2010.02.014]

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高速铁路随机振动轨道动力响应的概率分析()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

31卷

期数:

2010年02期

页码:

59

栏目:

出版日期:

2010-02-02

文章信息/Info

Title:

Probabilistic analysis of dynamic response of random vibration track of high-speed railway

作者:

娄平; 赵永超.

中南大学,土木建筑学院,湖南,长沙,410075, 中南大学,土木建筑学院,湖南,长沙,410075

Author(s):

Lou Ping; Zhao Yongchao

关键词:

高速铁路;  轨道;  随机振动;  随机不平顺;  概率分析

Keywords:

high-speed rail;  Orbit;  random vibration;  random unevenness;  Probabilistic analysis

DOI:

10.3969/j.issn.1671-6833.2010.02.014

文献标志码:

A

摘要:

视车辆、轨道为一个系统,利用弹性系统动力学总势能不变值原理和形成矩阵的"对号入座"法则建立该系统的竖向振动方程,考虑轨道随机不平顺,得到列车5种运行速度下轨道的随机动力响应.列车每种速度下每次得到的轨道动力响应最大值视为随机变量的一次观察值.计算结果表明:列车每种速度下钢轨和轨道板的位移最大值、加速度最大值、车轮加速度最大值以及轮轨力最大值等随机变量均服从正态分布;随着列车运行速度增加,轮轨力最大值随机变量的均值和轨道动力响应最大值随机变量的均值亦增加.

Abstract:

Considering the vehicle and track as a system, the vertical vibration equation of the system is established by using the principle of constant value of the total potential energy of the elastic system dynamics and the "seating" law of the matrix, considering the random unevenness of the track, and obtaining the random dynamic response of the track at five running speeds. The maximum value of the track dynamic response obtained each time at each speed of the train is regarded as an observation of a random variable. The calculation results show that the random variables such as the maximum displacement, acceleration, wheel acceleration and wheel-rail force of the rail and track plate at each speed of the train follow the normal distribution. As the speed of the train increases, the mean of the random variable of the maximum value of the wheel-rail force and the mean of the random variable of the maximum value of the track dynamic response also increase.

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