摘要
本文利用复变函数和多极坐标方法研究平面SH波对相邻多个半圆形凹陷地形的散射问题。文中首先给出了相邻多个半圆形凹陷地形对SH波散射的波函数,进一步利用移动坐标的方法逐一地满足凹陷地形的边界条件。最后将解的问题归结为对一组无穷代数方程组的求解。作为算例,对具有两个半圆形凹陷地形的问题进行了分析,给出了数值结果,并进行了一些讨论。
In this paper the scattering of SH-wave by multiple semi-cylindrical canyons are studied by using complex function and multi-polar coordinate method . The so-called scattering wave function in the neighborhood of the multiple semi-cylindrical canyons is formed and then,using the moving coordinate system,the boundary condition of the given multiple semi-cylindrical canyons will be satisfied step by step. Thus the problems to be solved can be summarized as the solution of an infinite set of algebraic equations. Finally ,the problem of scattering of SH wave in the neighborhood of two semi-cylindrical canyons with same dimension is examined. Numerical results and discusions of displacements and phases on the surface of, the canyons are given.
出处
《地震工程与工程振动》
CSCD
北大核心
1992年第2期12-18,共7页
Earthquake Engineering and Engineering Dynamics
基金
地震学联合基金
