Seismic response for an isosceles triangle hill subjected to anti-plane shear waves
Seismic response for an isosceles triangle hill subjected to anti-plane shear waves
复制标题
反平面剪切波作用下等腰三角形山体的地震响应
DOI：
10.1007/s11440-021-01216-7
复制
发表时间：
2021-04
期刊：
影响因子：
5.7
通讯作者：
Menghan Sun
中科院分区：
文献类型：
--
作者：
Yunqiu Song;Xinzhu Li;Zailin Yang;Yong Yang;Menghan Sun
本文利用波函数展开法给出了弹性半空间上等腰三角形凸起物对反平面波散射边值问题的精确解析解。引入适当的区域匹配技术，将包含三角形山丘的半空间划分为两个子区域。然后，在两个坐标系中分别构造了每个子区域的无穷级数波场表达式。为了统一坐标系和求解波函数中的未知系数，还导出了格拉夫加法公式。最后，数值计算结果说明了由于等腰三角形山丘的存在对地面运动的影响。本文对现有的解析方法进行了修正，旨在为数值方法验证提供基准，为工程实践提供参考。
This paper presents an exact, analytical solution to the boundary value problem of the anti-plane (SH) waves scattering by an isosceles triangle hill on an elastic half-space by using the wavefunction expansion method. An appropriate region-matching technique is introduced to divide the half-space containing a triangle hill into two subregions. Then, the wavefield expression of each subregion is constructed in terms of an infinite series in two coordinate systems, respectively. Furthermore, a Graf’s addition formula is derived to unify the coordinate system and solve the unknown coefficients in the wave functions. Finally, numerical results are calculated to illustrate the effects on ground motion due to the existence of an isosceles triangle hill. This paper revises the existing analytical methods, and aims to provide a benchmark for numerical method verification and a reference for engineering practice.
登录
查看更多内容
影响因子：
4
作者：
Jeng-Tzong Chen;Pocheng Chen;Chia-Tsung Chen
通讯作者：
Jeng-Tzong Chen;Pocheng Chen;Chia-Tsung Chen
影响因子：
3
作者：
Yufeng Gao;Zhang Ning;Dayong Li;Han-long Liu;Yuanqiang Cai;Wu Yongxin
通讯作者：
Yufeng Gao;Zhang Ning;Dayong Li;Han-long Liu;Yuanqiang Cai;Wu Yongxin
影响因子：
2.8
作者：
Zhang Ning;Yufeng Gao;Yuanqiang Cai;Dayong Li;Wu Yongxin
通讯作者：
Zhang Ning;Yufeng Gao;Yuanqiang Cai;Dayong Li;Wu Yongxin
影响因子：
4.5
作者：
X. Yuan;F. Men
通讯作者：
X. Yuan;F. Men
影响因子：
2.8
作者：
Ning Zhang;Yu Zhang;Yufeng Gao;R. Pak;Yongxin Wu;Fei Zhang
通讯作者：
Ning Zhang;Yu Zhang;Yufeng Gao;R. Pak;Yongxin Wu;Fei Zhang