连续梁桥车桥耦合振动分析的数值解法

将连续梁桥简化为二维的平面梁单元模型,车辆简化为五自由度二分之一车模型,分别建立车辆与桥梁振动方程;该方法以车轮接触处位移协调条件与相互作用力的平衡关系相联系,建立车辆与桥梁耦合振动方程,利用模态综合叠加法并结合Newmark-β积分格式进行迭代求解.通过本文数值解与解析方程的Runge-kutta法解进行对比,证明该方法确实有效可行.由于桥梁振动响应主要由若干低阶振动模态起控制作用,对于大跨度复杂桥梁,这就大大降低了矩阵的维数,提高了计算速度,且该方法对于不同类型桥梁具有很强的通用性.

An Efficient Algorithm for Coupled Vibration Analysis of Continuous Bridges under Moving Vehicle

A general and efficient method is proposed for the resolution of the dynamic interaction problem between a bridge,discretized by a two-dimensional finite element model,and a dynamic system of vehicles with five degree of freedom running at a prescribed speed.Establishing the equations of motion for the bridge and the vehicles respectively,an iteration solution method is presented to analyse the coupling vibration reponse of vehicle-bridge system based on the same displacement and coupling force at the interface.The Newmark method is used for solving the motion equations.The numerical method is validated availability and feasibility through comparing the result of the text with the analysis of Runge-kutta method.Because of the response of bridge resting with some low mode,the dimension of matrix are reduced furthest,at the same time,the velocity of computing are improved.This method could be used for any intricate bridge.