半圆形凸起与沉积谷地相连地形对SH波的散射

Ground motion of a semi-cylindrical hill joined with a semi-cylindrical alluvial valley under incident SH-waves

采用复变函数法研究了SH波入射下半圆形凸起与沉积谷地相连地形的地震动情况。整个求解区域分为三部分,在其中分别构造满足各自边界条件的位移解,然后利用复变函数和移动坐标法使之满足相应的"公共边界"的边界条件,从而建立起求解该问题的无穷代数方程组。给出的具体算例表明,入射波波数,入射角,沉积谷地的半径、剪切模量等参数对凸起部分地表位移幅值有显著影响。

Surface motion of a semi-cylindrical hill joined with a semi-cylindrical alluvial valley under incident SH- waves was studied using the complex function method. The whole solving domain was divided into three parts, different displacement solutions were constructed to satisfy the respective boundary conditions of the three parts. Then, the constructed displacement solutions were made to satisfy the ＂common boundary conditions＂ with the complex function and moving coordinate methods. Finally, the infinite algebraic equations were established to solve the problem. The numerical results indicated that the surface displacement characteristics around the semi-cylindrical hill depend on wave number of the incident wave, incident angle, and material properties of the alluvial valley.