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一种基于轮轨竖向刚性接触的车-桥空间耦合振动建模方法
引用本文:肖祥,任伟新,张谢东.一种基于轮轨竖向刚性接触的车-桥空间耦合振动建模方法[J].计算力学学报,2013,30(5):639-646.
作者姓名:肖祥  任伟新  张谢东
作者单位:武汉理工大学 交通工程学院, 武汉 430067;中南大学 土木建筑学院, 长沙 410075;中南大学 土木建筑学院 高速铁路建造技术国家工程实验室, 长沙 410075;中南大学 土木建筑学院, 长沙 410075;中南大学 土木建筑学院 高速铁路建造技术国家工程实验室, 长沙 410075;武汉理工大学 交通工程学院, 武汉 430067
基金项目:国家"863"项目(2009AA11Z101);武汉理工大学自主创新研究基金(2011-IV-126)资助项目.
摘    要:车辆-桥梁耦合振动研究具有重要的理论意义和工程实用价值,耦合系统运动方程的建立是研究开展的关键。本文将车辆-桥梁作为一个整体系统,采取轮轨竖向刚性接触方式,考虑轨道竖向、横向不平顺及其一、二阶导数,和轮对侧滚惯性力以及自旋角动量的影响,车辆采用弹簧阻尼连接的多刚体模拟,桥梁采用空间梁单元离散,基于Kalker线性蠕滑理论结合Shen-Hedrick-Elkins修正理论计算轮轨蠕滑力,运用弹性系统动力学总势能不变值原理及其对号入座法则,推导了车辆-桥梁耦合系统空间有限元形式的运动方程,该运动方程可采用逐步积分法直接求解得到车辆和桥梁的动力响应。最后,本文给出了典型的数值算例进行了分析计算。

关 键 词:车辆-桥梁耦合  有限元  空间振动  动力系统  轮轨蠕滑理论  势能
收稿时间:2012/4/18 0:00:00
修稿时间:2012/8/28 0:00:00

Formulation of equations of spatial motion for vehicle-bridge system based on rigid contact of wheel and rail
XIAO Xiang,REN Wei-xin and ZHANG Xie-dong.Formulation of equations of spatial motion for vehicle-bridge system based on rigid contact of wheel and rail[J].Chinese Journal of Computational Mechanics,2013,30(5):639-646.
Authors:XIAO Xiang  REN Wei-xin and ZHANG Xie-dong
Institution:School of Transportation, Wuhan University of Technology, Wuhan 430067, China;School of Civil Engineering and Architecture, Central South University, Changsha 410075, China;High-speed Railway Construction Technology National Engineering Laboratory, Changsha 410075, China;School of Civil Engineering and Architecture, Central South University, Changsha 410075, China;High-speed Railway Construction Technology National Engineering Laboratory, Changsha 410075, China;School of Transportation, Wuhan University of Technology, Wuhan 430067, China
Abstract:Research of the train-bridge interaction system has important theoretical significance and practical value,and the key for analysis is formulating system motion equations.In this paper,the vehicle and bridge are taken as an integrated system,and the vehicle is modeled as a multi-rigid body connected by springs and dampers while the bridge by spatial beam elements.The wheel-rail creep forces are calculated by the Kalker linear and Shen-Hedrick-Elkins amendments creep theory.Then the spatial motion equations of vehicle-bridge interaction system are formulated according to the principle of total potential energy with a stationary value of elastic dynamics system and the "set-in-right-position" rule,which can be resolved by step-by-step integral method to obtain the dynamic responses directly.Several numerical examples are carried out to analysis the dynamic responses of the vehicle and bridge.
Keywords:train-bridge interaction  FEM method  spatial vibration  dynamic system  the wheel/rail creep theory  potential energy
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