Scattering of SH waves by a non-symmetrical V-shaped canyon with a shallow cavity in half-space
Scattering of SH waves by a non-symmetrical V-shaped canyon with a shallow cavity in half-space
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半空间浅空腔非对称V型峡谷对SH波的散射
DOI：
10.1080/17455030.2021.1918799
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发表时间：
2021-05
影响因子：
--
通讯作者：
Yong Yang
中科院分区：
文献类型：
--
作者：
Zailin Yang;Yingchao Sun;Guanyi Wang;Yunqiu Song;Yong Yang
地表运动和孔洞应力集中一直是工程设计中关注的问题。本文用一种理论方法研究了非对称V形峡谷下圆孔的散射问题。采用分离变量法和对称法求解满足零应力边界条件的Helmholtz方程，得到波位移函数。基于复变函数法、多极坐标法和区域匹配技术，建立了相关条件下的代数方程，包括辅助边界条件和自由边界条件。然后，根据样本统计，用最小二乘法代替傅里叶展开法，用离散边界法解代数方程的待定系数。数值结果表明，用有限元方法和简化模型验证了理论方法的有效性，自由表面的位移和圆孔的应力与峡谷的形状、圆孔的位置、入射波的方向和激励的频率有关。
Both surface motion and hole stress concentration have always been concerned in engineering design. In this paper, a theoretical approach is used to study the scattering problem of circular cavities under a non-symmetrical V-shaped canyon. The wave displacement function is obtained by solving the Helmholtz equation that meets the zero-stress boundary conditions by adopting the method of separation of variables and the symmetric method. Based on the complex function method, multi-polar coordinate method and region-matching technique, algebraic equations are established at relevant conditions, which include auxiliary and free boundary conditions. Then, according to sample statistics, a least-square method is used instead of the Fourier expansion method to solve the undetermined coefficients of the algebraic equations by discrete boundary. Numerical results show that the theoretical method is verified valid by the finite element method and the reduced model, and the displacement of the free surface and the stress of the circular cavity are related to the shape of the canyon, the position of the circular cavity, the direction of the incident wave and the frequency content of the excitation.
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影响因子：
2.8
作者：
Shuzhi Lin;Fa-qiang Qiu;Dian-kui Liu
通讯作者：
Shuzhi Lin;Fa-qiang Qiu;Dian-kui Liu
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：
4
作者：
M. Todorovska;A. Hayir;M. Trifunac
通讯作者：
M. Todorovska;A. Hayir;M. Trifunac
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