Abstract: Based on collision theory and boundary principle, the calculation model of collision between bridge piers, with continuous rigid frame bridge as a case and ships was studied. According to Timoshenko shearing strain theory and Hamilton energy variation principle as well as the bending, shearing and impact of superstructure deflection of bridges, transient vibration equation of bridge piers was deduced. Based on integral transform method, differen tial equation of the collision system and transform ation of boundary conditions with Laplace, the wave so lution in frequency domain was acquired. With Crump inverting transform ation and Matlab programming, the impact forces and various dynamic responses in time domain was obtained.

Key words: continuous rigid frame bridge, ship-bridge impact, calculation model, dynamic response

摘要： 以连续钢构桥为例,基于碰撞理论和边界等代原理,研究了船桥碰撞的计算模型;基于Timoshenko剪切变形 理论和Hamilton能量泛函变分原理,考虑桥墩的弯曲、剪切、地基效应和上部结构的影响,导出了碰撞体系的动力 微分方程;采用积分变换方法,对碰撞体系的控制微分方程和边界条件进行Laplace变换,在频域内求得波动解;运 用Crump逆变换方法,使用数学软件Matlab编程进行数值反演,得到时域内的撞击力和各种动力响应。

关键词: 连续刚构桥, 船桥碰撞, 计算模型, 动力响应