近年来,高速铁路在我国得到了快速发展,由高速列车引起的线、桥振动问题越发突出。针对客运专线车-线-桥系统的特点,利用有限元方法建立了车辆-无砟轨道-桥梁耦合模型。鉴于模型的复杂性,将该模型分为列车-无砟轨道系统和无砟轨道-桥梁系统两个子系统来研究,两个子系统通过轮轨相互作用力耦合。根据Hamilton原理,可推导出两个子系统的刚度矩阵、质量矩阵和阻尼矩阵。利用有限元对号入座的方法,将子系统的矩阵组装,建立出车-线-桥系统动力学方程,运用Newmark-β方法求解动力学方程。同时,利用Matlab语言编写了相应的程序。利用我国最新的车辆和轨道参数作为实例,研究我国客运专线垂向耦合振动响应。
The high-speed train system provides us a swift communication.But the dynamic behavior of bridg-es caused by high-speed trains has become an important issue.Aiming to the vehicles-track-bridge dynamical characteristics of passenger-lines,based on the previous literatures,the finite-element model of vehicle-unbal-last track-bridge is proposed.Because of the complicity of the whole model,in this papert,wo subsystems are investigated.The first subsystem is vehicle-unballast track model.The second subsystem is unballast track-bridge model.These two subsystems can be coupled via wheel and rail interaction forces.Using Hamilton theory,the stiffness matrix,mass matrix and damping matrix for these two subsystems can be deduced.The total stiffness matrix,total mass matrix and total damping matrix for vehicle and track coupling system can be for-mulated by the usual assembling technique the finite element method.The dynamical finite element equations can be solved by Newmark-β method.At same time,the analyzed program is realized by Matlab.By comparison with the literature,it shows they indicate good agreement.Secondly,taking China new vehicles and unbal-last track as an example,vertical of China passenger-line is investigated.