方幂好格子点法在车-桥系统随机动力分析的应用  

Application of Good Lattice Point with Power Generator Method in Stochastic Dynamic Analysis of Vehicle-Bridge System

作　　者：周子骥 张楠[1] 严国兵 ZHOU Ziji;ZHANG Nan;YAN Guobing(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China;Railway Engineering Research Institute,China Academy of Railway Sciences Corporation Limited,Beijing 100081,China)

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]中国铁道科学研究院集团有限公司铁道建筑研究所,北京100081

出　　处：《西南交通大学学报》2025年第2期524-532,共9页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金项目(52178101)。

摘　　要：针对难以精确选取具有代表性的超高维随机相位角问题,采用方幂好格子点法生成代表性轨道不平顺样本,并将该样本作用于车-桥系统,得到轮轨力的均值与标准差;然后,通过对比虚拟激励法、确定性时程法和蒙特卡洛法的计算结果来探究该方法的计算精度与计算效率;最后,采用线性与非线性轮轨接触关系研究考虑列车日运营量的脱轨系数阈值.以和谐号通过桥梁为例,计算结果表明:与蒙特卡洛法相比,采用方幂好格子点法生成不同方向的轨道不平顺样本之间的均匀性较好;方幂好格子点法求得的随机动力响应的概率特征参数与其他方法相比,具有较高的计算精度,其计算效率较蒙特卡洛法提高了近5倍;分别采用线性与非线性轮轨接触关系时所得的脱轨系数阈值相差达4.68%,方幂好格子点法具有较广泛适用性.Since it is difficult to accurately select representative super-high-dimensional random phase angles,the good lattice point with power generator method(GLPPGM)was utilized to generate samples of representative track irregularities,which were applied to the vehicle-bridge system to obtain the mean and standard deviation of random dynamic responses.Then,the calculation accuracy and efficiency of this method were explored by comparing the results of the pseudo-excitation method,deterministic time history method,and Monte Carlo method(MCM).Finally,the threshold value of the derailment factor considering the daily operation volume of trains was studied by using linear and nonlinear wheel-rail contact relationships.The Harmony train passing over a bridge was studied,and the results show that compared with that by the MCM,the uniformity between the samples of track irregularities generated by the GLPPGM in different directions is better.The probability characteristic parameters of the random dynamic response obtained by the GLPPGM have higher calculation accuracy than different methods,and its calculation efficiency is nearly five times higher than that of the MCM.When linear and nonlinear wheel-rail contact relationships are considered,the threshold value of the derailment factor differs by 4.68%,and the GLPPGM has a wider applicability.

关 键 词：车-桥系统 方幂好格子点法 均值与标准差 脱轨系阈值 非线性轮轨接触 

分 类 号：U441.3[建筑科学—桥梁与隧道工程] U24[交通运输工程—道路与铁道工程]