【作者】 周子骥； 张楠；

【Author】 ZHOU Zi-ji;ZHANG Nan;School of Civil Engineering,Beijing Jiaotong University;

【机构】 北京交通大学土木建筑工程学院；

【摘要】 为探究高速铁路列车脱轨系数的概率分布形式,首先通过概率理论推导,得到脱轨系数概率分布形式与满足条件,并基于此得到脱轨系数的均值、标准差与横、竖向轮轨力均值、标准差的关系;通过Monte Carlo method检验了脱轨系数的概率密度函数、均值与标准差求解,并比较了不同方法的计算效率。基于该计算方法,以先锋号列车动车组通过3跨32米简支梁为例,基于不同列车运行速度、不同轨道谱和桥梁大挠度等工况下经行了脱轨系数概率分布检验、均值与标准差检验、上下限值的检验。计算结果表明:不同工况下,脱轨系数服从高斯正态分布;本文采用方法能高效准确地求得不同工况下脱轨系数的均值与标准差;根据脱轨系数均值与标准差求得脱轨系数上下限值能较好的控制所有样本。更多还原

【Abstract】 In order to explore the probability distribution form of the derailment factor of high-speed railway trains,the probability distribution form and satisfaction conditions of the derailment factor are obtained through the derivation of probability theory.Based on this,the relationship between the mean and standard deviation of the derailment factor and that of the lateral and vertical wheel-rail forces is obtained.The probability density function,mean and standard deviation of the derailment factor were tested by Monte Carlo method,and the computational efficiency of different methods was compared.Based on this calculation method,taking a Pioneer EMU passing through a 3-span 32-meter simply supported beam as an example,the probability distribution test of the derailment factor,the test of the mean,standard deviation and the upper and lower limit values are carried out based on the working conditions of different train operating speeds,different track spectra and large bridge deflections.The calculation results show that:under different working conditions,the derailment factor obeys the Gaussian distribution;the method used in this paper can efficiently and accurately obtains the mean and standard deviation of the derailment factor under different working conditions;The upper and lower limits obtained from the mean and standard deviation of the derailment coefficient can better control all samples.更多还原