以某矮塔斜拉桥为例,通过建立列车与桥梁的车-桥耦合动力分析模型,并根据势能不变值原理及形成结构矩阵的“对号入座”法则,导出车桥系统的空间振动矩阵方程。计算不同曲率半径时国产CRH2型列车以120km/h的速度通过该桥时的车桥耦合动力响应,对动力响应随曲率半径的变化规律进行了研究。研究结果表明:对本文所分析的矮塔斜拉桥而言,车桥系统动力响应均随曲率半径的减小而增大;当曲率半径大于2000m时对列车动力响应可以忽略不计。本桥设计半径为1000m,车桥系统动力响应均能满足相关规范要求。
Taking an extradosed cable - stayed bridge as an example, the space vibration equations in matrix form of the system were derived through building vehicle - bridge coupling dynamic analysis model between train and bridge, and based on the variational principle of the stationary potential energy and the set - in - right position rule of forming structural matrices. The space vibration responses were calculated when the domestic CRH2 train was passing through the bridge with different radius of curvature, and the change rule of bridge response at different radius of curvature was investigated. The results show that:in terms for the extradosed cable - stayed bridge discussed in the paper, the dynamic response of vehicle - bridge system increases with the decreasing radius of curvature, and when the radius of curvature exceeds 2 000 m, the impact of the dynamic response of the train is negligible. As to the bridge analyzed in this literature, its designed radius is 1 000 m, and the dynamic responses of vehicle - bridge system can meet requirements of the relevant standards.