摘要
本文将Graf加法公式进行推广,使之适用于弹性波散射的外域问题。以此为基础并结合波动方程的级数展开技术,将圆弧形凹陷地形对平面SH波散射问题的稳态解答归结为一简单的无穷代数方程组的求解。当凹陷地形为半圆形状时,解答退化为已知的精确解。最后,给出若干典型算例,以便理解宽频带下局部凹陷深宽比对地震地面运动的影响,并用于检验各种直接数值方法的精度。
The Graf's addition formula is first generalized to a new expression suitable for the exterior problems of scattering and diffraction of elastic waves and solutions for scattering of SH waves by an arc canyon are then reduced to solving an infinite algebraic equation system combining the generalized formula with the series expansion of wave equation. When the canyon has a semi-circular cross-section,the solution becomes the known exact solution before. Numerical results for typical cases are finally presented to show effects of the depth-to-width ratio of the canyon on earthquake ground motion and for use in checking accuracies of various numerical methods.
出处
《地震工程与工程振动》
CSCD
北大核心
1993年第2期1-11,共11页
Earthquake Engineering and Engineering Dynamics
