车-桥耦合振动的联合方程分析方法  

Analytical Method for Joint Equation of Vehicle-Bridge Coupling Vibration

作　　者：毛国辉[1] 王小松[1] 郑鸿飞[1] 

机构地区：[1]重庆交通大学土木建筑学院,重庆400074

出　　处：《重庆交通大学学报（自然科学版）》2013年第1期1-4,共4页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：国家自然科学基金项目(50908246);重庆市教育委员会基金项目(KJ080403);重庆交通大学(桥梁)结构工程重点实验室开放基金项目(CQSLBF-Z10-1)

摘　　要：根据d'Alembert原理和有限元理论,分别建立了车辆和桥梁的振动方程;基于车辆密贴理论,轮底接触点位移由桥梁节点位移采用形函数插值得到,接触点作用力等效成桥梁单元的结点力代入桥梁振动方程,将车辆、桥梁振动方程组联立形成了车-桥耦合振动的总体振动方程;采用数值积分的Newmark-β法求解方程组。结果表明:此方法和经典的迭代求解方法是吻合的。Vehicles and bridge oscillation equations were built respectively according to d'Alembert theory and finite element theory.The displacement of the bottom contact points of tires can be got from bridge nodal displacement by applying shape function interpolation.Then the contact point force which is equivalent to bridge unit nodes force was put into the bridge vibration equation and thus overall vibration equation of vehicle-bridge coupling vibration combing both vehicles and bridge oscillation equations was formed.In addition,Newmark-β method of numerical integration was applied to solve the equations.The result shows that this method and the classic iteration method are identical.

关 键 词：车桥振动 联立方程 NEWMARK-Β法 

分 类 号：U441+.7[建筑科学—桥梁与隧道工程]