基于随机函数方法的轨道不平顺模拟  

Simulation of Track Irregularity Based on Random Function Method

作　　者：张传勇[1] 但庆文 Zhang Chuanyong ,Dan Qingwen

机构地区：[1]三峡大学土木与建筑学院,443002

出　　处：《灾害与防治工程》2017年第2期53-58,73,共7页Disaster and Control Engineering

基　　金：国家自然科学基金（51278282）

摘　　要：基于国内外常用的轨道不平顺模拟方法，应用谱表示-随机函数方法，通过选取基本随机变量的代表性点集，直接由轨道不平顺功率谱密度函数模拟轨道不平顺代表性样本集合。该方法在模拟过程中只需一个基本随机变量，样本集合具有完备的概率集，且样本集合中样本数少。结合美国6级轨道不平顺功率谱密度函数，对比分析了谱表示-随机函数方法和三角级数法模拟的不平顺时域样本以及功率谱密度函数的拟合，并将轨道不平顺样本作为轮轨耦合系统的激励输入进行系统响应计算。结果表明，该方法简洁有效，可生成具有完备概率集的样本集合，具有较高的精度，为轨道不平顺的模拟提供了一种方重要法。Based on the track irregularity simulation methods at home and abroad, the rep- resentative time history set of the track irregularity is simulated by using the spectral representation and random function method. Only one basic random variable is used in the simulation process. The sample set has a complete probability set, and the number of sam- ples in the sample set is small. Combined with the United States sixth level spectrum, the spectral representation-random function method and the triangular series method are used to simulate the track irregularities time domain samples and the power spectral density function. The responses of the system are studied by using the sample as the inputs of the wheel rail coupling system. The results show that the method is simple, effective and high- ly accurate, which provides a method for the simulation of the track irregularity.

关 键 词：高速铁路 时频分析 轨道不平顺 谱表示 随机函数 功率谱密度 

分 类 号：O211.5[理学—概率论与数理统计]