ABSTRACT

This paper presents an analytical solution to the ground motion of an isosceles hill with slope change under incident SH waves. A new partitioning method, multi-region-matching technique (MRMT), is proposed in this paper to establish an accurate analytical solution model. Based on the complex function method and multipolar coordinate transformation, the infinite algebraic equations are established according to the continuity conditions at the two auxiliary boundaries. Fourier series expansion method in complex-domain is adopted to solve the unknown coefficients in wave field expressions. Numerical results demonstrate the slope of the hill is an important parameter affecting the anti-plane response.

摘要

本文提出了在入射 SH 波下坡度变化的等腰山体地面运动的解析解。为了建立精确的解析解模型，本文提出了一种新的划分方法——多区域匹配技术（MRMT）。基于复函数法和多极坐标变换，根据两个辅助边界处的连续性条件建立无穷代数方程。采用复域傅里叶级数展开法求解波场表达式中的未知系数。数值结果表明坡度是影响反平面响应的重要参数。