Abstract This study proposed a hybrid method combining finite element method (FEM) and a wave function based on the Lamb series in conjunction with modified transfinite interpolation for use in examining surface accelerations on a semi-elliptical hill subjected to shear horizontal (SH) waves of various dimensionless frequencies (η) at various incident angles (θ). The case topography included a semi-elliptical hill of fixed height adjacent to a semi-elliptical alluvial valley of variable depth (EHAV). Differences in site effects between EHAV and a single semi-elliptical hill (or a semi-elliptical alluvial valley) were investigated as a function of the modified transmissibility (TR). Variations in TR associated with η clearly revealed the resonance frequencies (RFs), associated with an elevated probability of landslides. Our simulation results revealed a larger number of RFs form in hills adjacent to AV than in isolated hill. This study proposes a systematic approach for the analysis of site effects of EHAV, focusing on the identification of potential landslides due to seismic waves excitation.

中文翻译：

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冲积谷旁浅山加速度的反平面响应

摘要 本研究提出了一种结合有限元法 (FEM) 和基于兰姆级数的波函数结合修正超限插值的混合方法，用于检查受到水平剪切波 (SH) 波作用的半椭圆山上的表面加速度。各种入射角 (θ) 下的各种无量纲频率 (η)。案例地形包括一个固定高度的半椭圆山丘，邻近可变深度的半椭圆冲积谷 (EHAV)。研究了 EHAV 和单个半椭圆山丘（或半椭圆冲积谷）之间的场地效应差异，作为修正的传输率 (TR) 的函数。与 η 相关的 TR 变化清楚地揭示了与滑坡概率升高相关的共振频率 (RF)。我们的模拟结果显示，与孤立的山丘相比，与 AV 相邻的山丘中形成的 RF 数量更多。本研究提出了一种分析 EHAV 场地效应的系统方法，重点是识别由地震波激发引起的潜在滑坡。