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各向异性介质中SH波对有衬砌的任意形半凹陷地形的散射

韩峰 刘殿魁

韩峰, 刘殿魁. 各向异性介质中SH波对有衬砌的任意形半凹陷地形的散射[J]. 应用数学和力学, 1997, 18(8): 753-761.
引用本文: 韩峰, 刘殿魁. 各向异性介质中SH波对有衬砌的任意形半凹陷地形的散射[J]. 应用数学和力学, 1997, 18(8): 753-761.
Han Feng, Liu Diankui. Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1997, 18(8): 753-761.
Citation: Han Feng, Liu Diankui. Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media[J]. Applied Mathematics and Mechanics, 1997, 18(8): 753-761.

各向异性介质中SH波对有衬砌的任意形半凹陷地形的散射

Scattering of Plane SH-Waves on Semi-Canyon Topography of Arbitrary Shape with Linging in Anisotropic Media

  • 摘要: 本文研究各向异性介质中具有衬砌的凹陷地形对SH波的散射.采用保角映射法[1]求解了有衬砌的凹陷地形对SH波的散射和它的地面位移.利用富氏级数展开方法,将待解的问题归结为一组无穷代数方程组的求解问题.由算例知,在衬砌和凹陷地形附近的地表上.位移幅值的变化是激烈的.当入射波的频率增加时,尤为显著.
  • [1] D. K. Liu, B. Z. Gai and G. Tao, Application of the method of complex function todynamic stress concentrations, Wh ve Motion, 14 (1982), 293.
    [2] M. V. Nasser and M. D. Trifunac, Scattering of plane SH-waves by cylindrical canals ofarbitrary shape, Soil. Dyn. and Ear. Eng., 4, 1 (1985), 18~23.
    [3] Lui Diankui and Han Feng, The scattering of plane SH-waves by non-circular cavity inanisotropic media, ASME Journal of Applied Mechanics, 60 (1993), 769.
    [4] Y. H. Pao and C. C. Mow, 《单性波的绕射和动应力集中》,刘殿魁、苏先越译,科学出版社(1993).
    [5] Liu Diankui and Han Feng, Scattering of SH-waves by cylindric canyon of arbitraryshape, Soil. Dyn. and Ear. Eng., 10, 5 (1991), 249~255.
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出版历程
  • 收稿日期:  1994-02-18
  • 修回日期:  1996-11-22
  • 刊出日期:  1997-08-15

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