| SH波对等腰三角形与半圆形凹陷相连地形的散射 |
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| 引用本文： | 韩峰,王光政,康朝阳.SH波对等腰三角形与半圆形凹陷相连地形的散射[J].应用数学和力学,2011,32(3):293-311. |
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| 作者姓名： | 韩峰 王光政 康朝阳 |
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| 作者单位： | 北京理工大学 爆炸科学与技术国家重点实验室,北京 100081 |
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| 摘 要： | 通过复变函数及多极坐标的方法研究了在SH波作用下，三角形凸起与半圆形凹陷组合而成的复杂地形的散射问题．在问题求解时，将所研究的地形分割为两个区域，并在各个区域内分别构造满足边界条件的波函数，最后利用位移和应力连续的边界条件在公共边界上契合，从而将问题转化为求解一组无穷代数方程组的系数问题，并采用Fourier变换截断有限项，再对其求解．最后通过具体的数值结果算例来讨论此复杂地形对SH波的散射问题，并给出了算例的位移解析解答．
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| 关 键 词： | SH波散射 三角形凸起 半圆形凹陷 多极坐标 复变函数 |
| 收稿时间： | 2010-12-24 |
Scattering of SH-Waves on the Isosceles Triangular Hill Joined by Semi-Cylindrical Canyon |
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| HAN Feng,WANG Guang-zheng,KANG Chao-yang.Scattering of SH-Waves on the Isosceles Triangular Hill Joined by Semi-Cylindrical Canyon[J].Applied Mathematics and Mechanics,2011,32(3):293-311. |
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| Authors: | HAN Feng WANG Guang-zheng KANG Chao-yang |
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| Institution: | Beijing Institute of Technology, State Key Laboratory of Explosion Science and Technology, Beijing 100081, P. R. China |
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| Abstract: | Scattering of SH-wave on the triangular hill joined by semi-cylindrical canyon in half-space was studied with the methods of complex function and moving coordinates.The studied model was divided into two domains at first,and the wave functions,which satisfy the required condition at each wedge,are constructed in each equation,which was solved by Fourier expanding.Finally,numerical examples and relative results are provided to discuss the influence of scattering of SH-waves. |
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