Abstract: With the widening of roads and bridges, there still exist the shortcomings in the dynamic vibration equations of the present structures for calculating the non-axial vibration response, so the 2D wave equation, based on the spherical wave equation, was derived from the elastic wave theory used for calculating the vibration of the bridge surface at any point in case of the vehicle-bridge coupling. The results of the model and the 2D wave equation established by the finite element software ANSYS show that the variance between the two is less than 10% and the 2D wave equation can better calculate the vibration response of the non-axial position in a simpler way, making up for what lacks in the classical calculation of the transverse vibration state.

Key words: bridge engineering, 2D wave equation, new method, cross bridge direction

摘要： 针对公路桥梁越来越宽的实际情况，为弥补既有结构动力学振动方程对计算非轴向位置振动响应的不足，基于弹性波理论中的球面波动方程推导了二维波动方程，用于计算横桥向车-桥耦合时桥面任意点振动情况，并利用有限元软件ANSYS建立模型与二维波动方程进行结果对比分析。研究表明：二维波动方程能有效计算非轴向位置的振动响应，且计算过程简便，弥补了经典方法中结构动力学公式无法对横桥向振动状态进行较精确计算的不足。

关键词: 桥梁工程, 二维波动方程, 新方法, 横桥向