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不规则边界的弹性波散射研究有着广泛的工程应用背景.这类问题通常用数值方法求解.为了检验数值解的精度,解析结果是很重要的.但是,由于数学上的困难,可利用的解析结果很少.本文针对弹性半空间表面任意圆弧型凸起和凹陷边界两种出平面散射模型,概述了一种波函数展开方法的要点,并结合地震工程讨论了场地与地震波相互作用的若干特点1 模型和理论分析要点本文讨论的弹性波出平面散射模型如图1所示,其中(a)和(b)分别代表了弹性半空间表面圆弧型凸起和凹陷形状的不规则边界.图中d表示散射体的特征高(深)度;L表示散射体
The study of elastic wave scattering on irregular boundary has a wide range of engineering application background. Such problems are usually solved numerically. In order to test the accuracy of numerical solution, it is very important to analyze the results. However, due to mathematical difficulties, The results are few.In this paper, two kinds of out-of-plane scattering models of arbitrary arc-shaped bulges and concave boundaries on the surface of elastic half-space are summarized, and the main points of a method for expanding the wave function are summarized.Several main points about the interaction between the ground and seismic wave Feature 1 Model and Theoretical Analysis Highlights The elastic wave out-of-plane scattering model discussed in this paper is shown in Figure 1, where (a) and (b) represent the irregular boundaries of the arcuate projections and valleys on the elastic half-space surface, respectively. In the figure, d indicates the characteristic height (depth) of the scatterer; L indicates the scatterer