斜拉桥在列车通过时横向动力响应的分析方法

Analysis Method for Lateral Dynamic Response of Cable-Stayed Bridge Under Moving Train

以横摆和摇头为2个独立的自由度,建立列车轮对的振动微分方程。利用结构分析有限元法,推导非对称箱形截面梁单元的横向弯扭耦合刚度矩阵。讨论车桥系统横向振动微分方程及其求解方法。实例分析结果揭示了桥梁横向动力响应的规律,所讨论的分析方法可以有效地处理约束扭转及偏载问题。

The vibration differential equations for train wheel set are established by taking the lateral swaying and yawing of the wheel set as two independent degrees of freedom. By means of finite element for structural analysis, the stiffness matrixes for coupled lateral flexure-torsion of a beam element with asymmetric box section are derived, and the differential equations and ways to obtain their solutions for the lateral vibration of vehicle-bridge system are discussed. The results of example analysis reveal the laws of the lateral dynamic response of cable-stayed bridge under moving train and it is also proved that the analysis method as discussed in the paper can effectively deal with the problems about restrained torsion and unbalanced load.