HAN Feng, WANG Guang-zheng, CHEN Han. Research on Scattering of SH-Waves on Multiple Hills and Canyons[J]. Applied Mathematics and Mechanics, 2013, 34(4): 355-363. doi: 10.3879/j.issn.1000-0887.2013.04.004
Citation: HAN Feng, WANG Guang-zheng, CHEN Han. Research on Scattering of SH-Waves on Multiple Hills and Canyons[J]. Applied Mathematics and Mechanics, 2013, 34(4): 355-363. doi: 10.3879/j.issn.1000-0887.2013.04.004

Research on Scattering of SH-Waves on Multiple Hills and Canyons

doi: 10.3879/j.issn.1000-0887.2013.04.004
  • Received Date: 2013-01-21
  • Rev Recd Date: 2013-03-20
  • Publish Date: 2013-04-15
  • Taking two triangular hills joined by a semicylindrical canyon as an example, scattering of SHwaves by complicated terrain were studied. The model was divided into three domains. The wave functions satisfying the boundary condition at each domain were constructed by complex function and moving coordinate methods. The algebraic equations were constructed according to the conjunction of displacement and stress. After solving the equations, the unknown coefficients were acquired. At last, the surface displacement were provided and the influence of different factors such as wave numbers and incident angles were discussed.
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  • [1]
    Trifunac M D. Scattering of plane SH-waves by a semi-cylindrical canyon[J].Earthquake Engineering and Structural Dynamics, 1973, 2(1):267-281.
    [2]
    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 anisotropic medium[J].Earthquake Engineering and Engineering Vibration, 1990, 10(2): 11-23.(in Chinese))
    [3]
    LIU Dian-Kui, HAN Feng. Scattering of plane SH-waves by a cylindrical canyon of arbitrary shape[J].Soil Dynamics and Earthquake Engineering, 1991, 10(5): 249-255.
    [4]
    许贻燕, 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))
    [5]
    袁晓铭, 廖振鹏. 任意圆弧形凸起地形对平面SH波的散射[J]. 地震工程与工程振动, 1996, 16(2): 1-13.(YUAN Xiao-ming, LIAO Zhen-peng. Scattering of plane SH-wave by a cylindrical hill of circular-arc cross-section[J].Earthquake Engineering and Engineering Vibration,1996, 16(2): 1-13.(in Chinese))
    [6]
    QIU Fa-qiang, Liu Dian-kui. Antiplane response of isosceles triangular hill to incident SH waves[J].Earthquake Engineering and Engineering Vibration,2005, 4(1): 37-46.
    [7]
    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))
    [8]
    崔志刚, 邹永超, 刘殿魁. SH波对圆弧形凸起地形的散射[J]. 地震工程与工程振动, 1998, 18(4): 8-14.(CUI Zhi-gang, ZOU Yong-chao, LIU Dian-kui. Scattering of plane SH-wave by a cylindrical hill of circulararc cross section[J].Earthquake Engineering and Engineering Vibration,1998, 18(4): 8-14.(in Chinese))
    [9]
    Hayir A, Todorovska M I, Trifunac M D. Antiplane response of a dike with flexible soilstructure interface to incident SH waves[J].Soil Dynamics and Engineering,2001,21: 603-613.
    [10]
    刘殿魁, 王国庆. 浅埋圆形孔洞附近的半圆形凸起对SH波的散射[J]. 力学学报, 2006, 38(2): 209-218.(LIU Dian-kui, WANG Guo-qing. Antiplan SH-deformation of a semi-cylindrical hill above a subsurface cavity[J].Chinese Journal of Theoretical and Applied Mechanics,2006, 38(2): 209-218.(in Chinese))
    [11]
    吕晓棠, 刘殿魁. SH波入射时半圆形凸起与凹陷地形的地震动[J]. 地震工程与工程振动, 2006, 26(5): 14-20.(Lü Xiao-tang, LIU Dian-kui. Ground motion of a semi-cylindrical hill and a semi-cylindrical canyon caused by incident SH wave[J].Earthquake Engineering and Engineering Vibration,2006, 26(5): 14-20.(in Chinese))
    [12]
    杜永军, 刘殿魁, 赵启承, 邱发强, 王春华. SH波入射时等腰三角形与半圆形凸起地形的地震动[J]. 世界地震工程, 2009, 25(3): 167-174.(DU Yong-jun, LIU Dian-kui, ZHAO Qi-cheng, QIU Fa-qiang, WANG Chun-hua. Ground motion of isosceles triangular and semi-circular hills with the SH incident wave[J].World Earthquake Engineering,2009, 25(3): 167-174.(in Chinese))
    [13]
    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.(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(English Edition), 2011, 32(3): 309-326.)
    [14]
    杨在林, 许华南, 陈志刚. 等腰三角形凸起与半圆形凹陷地形对SH波的散射[J]. 哈尔滨工业大学学报, 2011, 43(1): 6-11.(YANG Zai-lin, XU Hua-nan, CHEN Zhi-gang. Scattering of SH-waves by two isosceles triangle hills and a semi-cylindrical canyon[J].Journal of Harbin Institute of Technology,2011, 43(1): 6-11.(in Chinese))
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