【摘要】 结合公路桥梁的特点 ,视桥梁与车辆为一个相互作用的整体系统 ,以模拟桥梁在汽车通过时的空间动态响应。在分析中 ,桥梁的自振特性先由有限元法得到 ;车辆采用三维汽车模型 ,统一列出车桥系统的动力方程。将桥梁的自振模态代入系统 ,减少桥梁的自由度 ,采用 Newmark-β逐步积分法求解系统方程。由于并不特别限定具体的桥梁形式和构造 ,可以考虑多车道、多车辆、不同的车速以及不同的车辆参数 ,车辆模型具有标准化的特点 ,因此本方法具有一定的实用性和通用性。算例表明本文方法可靠 ,精度较高更多还原

【Abstract】 On the basis of the characteristics of highway bridge,regarding the bridge and vehicles as a whole system,this paper sets up an effective method to analyze the arch bridge’s dynamic response under moving vehicles loads.This method derives the governing equations of bridge vehicle system with three dimensional automobile method and spatial freedoms of bridge,solving the governing equations by Newmark β method after reducing the bridge’s freedoms with its mode shapes which are obtained by FEM.As there is no special restriction for the bridge structure and the automobile mode is standardized,the proposed method can consider the case with different bridge structures and automobile modes.The numerical examples shows that this method is reliable and has high precision.更多还原