SH波对半无限圆形凹陷地形造成的位移场的研究

本文将用求解弹性波散射与动应力集中的复变函数法推广来求解任意形凹陷地形对SH波的散射问题。给出了逼近任意形状凹陷地形的SH波散射问题解的完备函数序列及边界条件表达式。进一步利用Herrnite多项式构成正交函数,将待求解问题归结为对一组无穷代数方程组的求解问题。最后,就半圆形凹陷地形对SH波的散射问题进行了计算,并给出了数值结果。

Research of Scattering of Plane SH-wave by a Semi-cylindrical Canyon

The complex function method used in the solution of dynamic stress concentra- tion on an infinite elastic plane is generalized to include the case of scattering of plane SH-wave by canyon topography of arbitrany shape.This paper gives the complete function which approaches the solution of steady state scattering of SH-wave on two-dimensional canyon topography.The problem to be solved can be summarized as the solution of infinite algebraic equation series by using Hermite function and its orthogonal conditions and solution can be obtained directly by using computer.At last,computational results of scattering of two dimensional can- yon and a triangular canyon are given.