轨道不平顺激励下不确定车轨耦合系统动力分析  

THE DYNAMIC ANALYSIS FOR VEHICLE-TRACK COUPLED SYSTEMS WITH PARAMETER UNCERTAINTIES UNDER TRACK IRREGULARITY

作　　者：项盼[1] 赵岩[1] 林家浩[1] 田爱琴[2] 

机构地区：[1]大连理工大学运载工程与力学学部工业装备与结构分析国家重点实验室,大连116023 [2]南车青岛四方机车车辆股份有限公司,青岛266000

出　　处：《固体力学学报》2013年第S1期204-210,共7页Chinese Journal of Solid Mechanics

基　　金："九七三"国家重点基础研究计划;"复杂装备研发数字化工具中的计算力学和多场耦合若干前沿问题"课题(2010CB832704);"十一五"国家科技支撑计划;"中国高速列车关键技术研究及装备研制"项目(2009BAG12A04);大连理工大学理科基础科研专题(DUT12LK50)资助

摘　　要：对于具有不确定参数车轨耦合系统,论文建立了随机轨道不平顺激励下耦合系统动力响应预测的虚拟激励摄动算法.车辆采用多刚体系统模型,其参数的不确定性以随机变量形式描述.弹性轨道视为无限长周期结构,建立哈密顿对偶坐标体系下轨道典型子结构状态运动方程.采用线性赫兹理论建立轮轨关系,得到混合坐标下车轨耦合系统运动方程.轨道不平顺视为平稳随机过程,根据虚拟激励法原理,可将其转化为虚拟简谐激励.基于虚拟激励法推导了随机响应的高阶敏度,提出了不确定车轨耦合系统在轨道不平顺激励下结构响应预测的高阶虚拟激励摄动方法,数值结果同蒙特卡洛方法进行了对比,结论表明所提出的方法具有很好的精度.In this paper pseudo excitation-perturbation method was established for coupled vehicletrack systems with parameter uncertainties subjected to random track irregularity.The vehicle system was simplified as a multiple rigid-body model whose uncertainty of parameters was described by random variables.The track was regarded as an infinitely long periodic structure,and the state equation of typical substructure of the track was established in Hamiltonian system.Using the linear Hertz theory,the dynamic equation of coupled vehicle-track systems under mixed coordinate was established by wheel-rail coupling characteristics.Base on the pseudo excitation method the track irregularity was regarded as the stationary random process which can be transformed as pseudo harmonic,also the high order sensitivity of random response was obtained.Then perturbation method was used to compute the random vibration responses of coupled vehicle-track systems with parameter uncertainties subjected to track irregularity.In the Numerical example the efficiency and computational accuracy are demonstrated by Monte Carlo Simulation approaches.

关 键 词：不确定 车轨耦合系统 轨道不平顺 虚拟激励法 辛方法 

分 类 号：U211.5[交通运输工程—道路与铁道工程]