SH波入射时柔性基础上等腰三角形坝体结构的出平面反应

Antiplane response of isosceles triangular dike to incident SH waves

本文利用复变函数和坐标移动方法研究了SH波入射对柔性基础上等腰三角形坝体结构的影响。首先建立问题的数学模型并根据分区和辅助函数法将模型分割为2部分,其1为等腰三角形和半圆形组成的区域Ⅰ,其余为区域Ⅱ;其2在区域Ⅰ内构造1个满足等腰三角形两边应力自由的驻波解,在区域Ⅱ内构造满足水平边界应力自由的散射波;通过移动坐标在区域Ⅰ、Ⅱ的公共边界实现位移和应力的连续,建立起求解该问题的无穷代数方程组;最后,本文给出了例题和数值结果并对其进行了讨论,并通过算例强调了与文献[9]的本质区别。

In this paper, the ground motion of an isosceles triangular dike impacted by SH waves is discussed. The methods of complex function and moving coordinate system as well as a simple model are used here. At first the model is divided into two parts based on the method of division and assistant function, a wave function which satisfies the condition of stress free at the triangular wedges is constructed in one part, a scattering wave function which satisfied the condition of stress free at the horizontal surface is constructed in another part. And then the moving coordinate system is used to solve the problem. The solution of the problem is reduced to a series of algebraic equations and obtained numerically. Finally the numerical examples are provided to show the substantial differences between what we acquired and what showed in article[ 9].