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SH波对等腰三角形与半圆形凹陷相连地形的散射

韩峰 王光政 康朝阳

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. doi: 10.3879/j.issn.1000-0887.2011.03.006
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. doi: 10.3879/j.issn.1000-0887.2011.03.006
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. doi: 10.3879/j.issn.1000-0887.2011.03.006
Citation: 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. doi: 10.3879/j.issn.1000-0887.2011.03.006

SH波对等腰三角形与半圆形凹陷相连地形的散射

doi: 10.3879/j.issn.1000-0887.2011.03.006
基金项目: 国家自然科学基金资助项目(11072037)
详细信息
    作者简介:

    韩峰(1965- ),男,黑龙江人,教授,博士生导师(联系人.Tel+86-10-68913956;E-mail:hhanfeng@bit.edu.cn)

  • 中图分类号: O343.1

Scattering of SH-Waves on the Isosceles Triangular Hill Joined by Semi-Cylindrical Canyon

  • 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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出版历程
  • 收稿日期:  2010-12-24
  • 修回日期:  2011-01-14
  • 刊出日期:  2011-03-15

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