考虑轮轨脱离的车桥耦合系统动力响应分析

针对密贴和弹簧连接两种轮轨关系模型,通过构造车轮与桥梁之间相对位移和相互作用力间的线性互补关系,建立了两种考虑轮轨脱离的车桥耦合系统动力学分析模型,从而将车桥耦合系统的轮轨连接问题转化为标准的线性互补问题。本文方法不需要在每一个时间步对接触状态进行判断,避免了传统算法的迭代求解过程,能够对轮轨脱离进行模拟。在数值算例中,讨论了无量纲化的车桥耦合系统质量、刚度等参数和行驶状态对系统响应动力放大系数的影响,以及速度因子和车桥质量因子对轮轨脱离的影响。数值算例证明了本文方法的正确性,且相对于传统轮轨接触模型具有更高的计算效率。

Dynamic response analysis of vehicle-bridge coupled systems considering separation

By introducing the linear complementarity relationship between the relative displacement of the wheel and rail and the interaction force in the rigid contact model and elastic contact model,two analytical models considering the separation between the wheel and the bridge are established,which transform the dynamic interaction problem of the vehicle-bridge coupled system into a standard linear complementarity problem.Therefore the complex trial-and-error and iterative process in conventional numerical method are avoided,and the assumptions or iterative process for the determination of contact states are not required in the proposed method.The effects of non-dimensional mass,stiffness of the coupled system and running state of the vehicle on the dynamic magnification factors are studied,the separation regions due to the velocity ratio and the mass ratio (vehicle to bridge) are also investigated.Numerical examples demonstrate the efficiency and accuracy of the proposed method.