地震下矩形空心桥墩内部动水力分析

摘要：针对地震下矩形空心桥墩内部的动水力，提出了一个近似半解析半数值方法。对于弹性桥墩结构，基于线性辐射波浪理论利用特征函数扩展法分别构造了桥墩内部二维流体的弹性振动速度势和刚性运动速度势，进而得到了相应的内部动水力，最后采用梁单元有限元方法求解耦联运动方程。与解析方法和纯数值方法相比，这一方法计算相对简单、有效。并讨论了地震作用时，内部流体对桥墩动力反应的影响。同时算例表明，该方法计算具有较高精度。

Earthquake Induced Interior Hydrodynamic Force on Rectangular Hollow Bridge Pier

Abstract: A semi-analytical and semi-numerical approach for earthquake induced interior hydrodynamic force on rectangular hollow bridge pier was developed. Based on linear radiation wave theory, eigenfunction expansion method was used to format the potential of rigid movement and that of elastic vibration. Then interior hydrodynamic forces were got. The coupling kinetic equations were solved by FEM with beam elements. This method is a relatively simple and efficient approach Examples were presented to discuss the influence of earthquake induced interior hydrodynamic force on rectangular hollow pier. The results illustrated the accuracy of this method.