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基于小波有限元的车辆-轨道-桥梁系统竖向振动分析
引用本文:肖祥,任伟新,贺文宇.基于小波有限元的车辆-轨道-桥梁系统竖向振动分析[J].计算力学学报,2012,29(5):687-692.
作者姓名:肖祥  任伟新  贺文宇
作者单位:1. 武汉理工大学交通学院,武汉430067 中南大学土木建筑学院,长沙410075 高速铁路建造技术国家工程实验室,长沙410075
2. 中南大学土木建筑学院,长沙410075 高速铁路建造技术国家工程实验室,长沙410075
基金项目:国家"863"(2009AA11Z101)资助项目.
摘    要:基于小波有限元建立了车辆-轨道-桥梁系统竖向运动方程。将车辆、轨道和桥梁作为一个整体系统,钢轨和桥梁采用区间B样条小波单元离散,钢轨与桥梁之间的钢轨基础采用均布的弹簧和阻尼模拟,采用虚功原理建立了基于小波有限元的四轴车辆-轨道-桥梁竖向振动分析模型。结果表明,采用区间B样条小波单元可较大程度上减小系统的自由度数,缩减计算量,节省计算时间。

关 键 词:车-线-桥耦合  运动方程  区间B样条小波  有限元法
收稿时间:2010/10/21 0:00:00
修稿时间:2011/2/10 0:00:00

The vertical vibration analysis of vehicle-track-bridge system based on wavelet finite element method
XIAO Xiang,REN Wei-xin and HE Wen-yu.The vertical vibration analysis of vehicle-track-bridge system based on wavelet finite element method[J].Chinese Journal of Computational Mechanics,2012,29(5):687-692.
Authors:XIAO Xiang  REN Wei-xin and HE Wen-yu
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 Civil Engineering and Architecture, Central South University, Changsha 410075, China;High-speed Railway Construction Technology National Engineering Laboratory, Changsha 410075, China
Abstract:The vertical motion equation of the vehicle-track-bridge system is established based on wavelet finite element method in this paper.The vehicle,track and bridge are regarded as an integrated system.The rail and bridge are discredited by B-spline wavelet beam element,while the rails bed between the rail and bridge is modeled by uniform distribution springs and dampers.On the basis of the virtual work principle,the vertical vibration analysis model of a 4-axis vehicles-track-bridge using wavelet finite element is established.Numerical examples demonstrate that:adopting B-spline wavelet element can greatly reduce the degrees of freedom,and thereby reduce the calculation work and time.
Keywords:vehicle-track-bridge interaction  equation of motion  B-spline wavelet on the interval  finite element method
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