泥石流冲击荷载下拦挡坝的动力响应分析

Dynamic response analysis for a dam against impact load of debris flow

选取典型的泥石流冲击荷载,把钢筋混凝土拦挡坝简化成悬臂梁,建立其动力偏微分方程,运用数学物理方程中的变量分离法和结构动力学中的振型叠加法求得动力偏微分方程的解析解,最后根据材料力学得到相应的应力以及应变。算例分析表明解析解是可靠的,且在拦挡坝的坝顶处有最大的位移,为实际工程力学计算提供一种思路。

Here,the typical impact load of debris flow was chosen,and a reinforced concrete dam against debris flow was simplified into a cantilevered beam,its dynamic partial differential equation was established.Then,the variable separation method in mathematical physics equations and the modal superposition method in the structural dynamics were used to get the analytical solution to the dynamic partial differential equation.According to the mechanics of materials,the corresponding stress and strain of the beam were obtained.The example analysis showed that the analytical solution to the dynamic equation is reliable,and the top of the dam against debris flow has the largest displacement.The study results provided an idea for practical engineering mechanical calculation.