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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.
  • [1] 鲍亦兴.固体中的波[M].北京:地震出版社, 1982:2-20.(BAO Yi-xing. Waves in Solid Media[M]. Beijing: Earthquake Press, 1982: 2-20.(in Chinese))
    [2] 黎在良, 刘殿魁.固体中的波[M].北京:科学出版社, 1995.(LI Zai-liang, LIU Dian-kui. Waves in Solid Media[M]. Beijing: Science Press, 1995.(in Chinese))
    [3] 王竹溪, 郭敦仁.特殊函数概论[M].北京:科学出版社, 1979.(WANG Zhu-xi, GUO Dun-ren. Introduction to Special Functions[M]. Beijing: Science Press, 1979.(in Chinese))
    [4] Trifunac M D. Scattering of plane SH-waves by a semi-cylindrical canyon[J]. Earthquake Engineering and Structural Dynamics, 1973, 2(1): 267-281.
    [5] 韩峰, 刘殿魁.SH波对半无限圆形凹陷地形造成的位移场的研究[J].哈尔滨建筑工程学院学报, 1990, 23(3):24-31.(HAN Feng, LIU Dian-kui. Research of scattering of plane SH-wave by a semi-cylindrical canyon[J]. Journal of Harbin University of Civil Engineering and Architecture, 1990, 23(3): 24-31.(in Chinese))
    [6] 刘殿魁, 韩峰.SH波对各向异性凹陷地形的散射[J]. 地震工程与工程振动, 1990, 10(2):11-23.(LIU Dian-kui, HAN Feng. Scattering of plane SH-wave by canyon topography in aniso tropic medium[J]. Earthquake Engineering and Engineering Vibration, 1990, 10(2): 11-23.(in Chinese))
    [7] 徐贻燕, 韩峰.平面SH波在相邻多个半圆形凹陷地形上的散射[J].地震工程与工程振动, 1992, 12(2):12-18.(XU Yi-yan, HAN Feng. Scattering of SH-waves by multiple semi-cylindrical canyons[J]. Earthquake Engineering and Engineering Vibration, 1992, 12(2): 12-18.(in Chinese))
    [8] 邱发强, 刘殿魁.SH波入射时柔性基础上等腰三角形坝体结构的出平面反应[J].地震工程与工程振动, 2006, 26(4):9-17.(QIU Fa-qiang, LIU Dian-kui. Antiplane response of isosceles triangular dike to incident SH waves[J]. Earthquake Engineering and Engineering Vibration, 2006, 26(4): 9-17.(in Chinese))
    [9] 刘刚, 刘殿魁, 杜永军.浅埋圆柱形弹性夹杂附近等腰三角形凸起地形引起的SH波的散射[J].地震工程与工程振动, 2006, 26(4):1-8.( LIU Gang, LIU Dian-kui, DU Yong-jun. Scattering of SH waves by an isosceles triangular hill above a subsurface elastic cylindrical inclusion[J]. Earthquake Engineering and Engineering Vibration, 2006, 26(4): 1-8.(in Chinese))
    [10] 邱发强, 刘殿魁.SH 波对等腰三角形凸起地形散射问题中的驻波函数[J].哈尔滨工程大学学报,2007, 28(5):525-527.(QIU Fa-qiang, LIU Dian-kui. Standing wave functions from an isosceles triangle hill to incident SH-waves[J]. Journal of Harbin Engineering University, 2007, 28(5): 525-527.(in Chinese))
    [11] 王慧文, 刘殿魁, 邱发强.SH波入射时多个半圆形沉积谷地附近潜埋圆形孔洞的动力分析[J].地震工程与工程振动, 2006, 26(4):18-23.(WANG Hui-wen, LIU Dian-kui, QIU Fa-qiang. Dynamic response of shallow-embedded cylindrical lining structure below semi-cylindrical alluvial valleys to incident SH waves[J]. Earthquake Engineering and Engineering Vibration, 2006, 26(4): 18-23.(in Chinese))
    [12] 吕绍棠, 刘殿魁.SH波作用下浅埋裂纹附近半圆形凸起的地震动[J].地震工程与工程振动, 2008, 28(3):16-23.(L Shao-tang, LIU Dian-kui. Antiplane response of a semi-cylindrical hill above a subsurface crack to incident SH waves[J]. Earthquake Engineering and Engineering Vibration, 2008, 28(3): 16-23.(in Chinese))
    [13] 李敏, 刘殿魁, 周瑞芬.含孔半圆形凸起地形及多个孔洞对SH波的散射[J].哈尔滨工程大学学报, 2008, 29(1):78-84.(LI Min, LIU Dian-kui, ZHOU Rui-fen. Scattering of SH waves by a semi-cylindrical hill with a hole and multiple cavities around it in half-space[J]. Journal of Harbin Engineering University, 2008, 29(1): 78-84.(in Chinese))
    [14] LIU Dian-kui, WANG Ning, LI Shi-ying. Anti-plane SH-deformation by an arc-shaped cylindrical hill above a subsurface cavity in half-space[J]. Journal of Harbin Engineering University, 2007, 28(6): 636-641.
    [15] Hayir A, Todorovska M I, Trifunac M D I. Antiplane response of a dike with flexible soil-structure interface to incident SH waves[J]. Soil Dynamics and Engineering, 2001, 21:603-613. doi: 10.1016/S0267-7261(01)00035-5
    [16] 刘刚, 刘殿魁, 杜永军.浅埋圆柱形弹性夹杂附近等腰三角形凸起地形引起的SH波的散射[J].地震工程与工程振动, 2006, 26(4):9-17.(LIU Gang, LIU Dian-kui, DU Yong-jun. Scattering of SH waves by an isosceles triangular hill above a subsurface elastic cylindrical inclusion[J]. Earthquake Engineering and Engineering Vibration, 2006, 26(4): 9-17.(in Chinese))
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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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