基于小波有限元的车辆-轨道-桥梁系统竖向振动分析

The vertical vibration analysis of vehicle-track-bridge system based on wavelet finite element method

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。

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 ele- ment 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.