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SH波入射时含圆形孔洞的半圆形凸起地形与其附近的圆形孔洞的相互作用
引用本文:李敏,刘殿魁. SH波入射时含圆形孔洞的半圆形凸起地形与其附近的圆形孔洞的相互作用[J]. 哈尔滨工程大学学报, 2005, 26(5): 608-613
作者姓名:李敏  刘殿魁
作者单位:大庆石油学院,机械科学与工程系,黑龙江,大庆,163318;哈尔滨工程大学,建筑工程学院,黑龙江,哈尔滨,150001
摘    要:应用辅助函数思想与复变函数、多极坐标法研究了在平面SH波作用之下,含圆形孔洞的半圆形凸起地形与其附近的圆形孔洞的相互作用问题.通过理论求解,得出了问题的解析解答,文中最后给出了具体算例,讨论了地表位移幅值、浅埋圆孔及凸起所含圆孔的动应力集中系数.结果表明:浅埋圆孔的存在一定程度上存在减震作用,而凸起所含圆孔的存在却将削弱模型的刚度,应该引起足够的重视.

关 键 词:SH波散射  辅助函数  含孔半圆形凸起  浅埋圆孔  动应力集中系数
文章编号:1006-7043(2005)05-0608-06
收稿时间:2004-09-02
修稿时间:2004-09-02

Scattering of SH-waves by a semi-cylindrical hill with a hole above a subsurface cavity in half-space
LI Min,LIU Dian-kui. Scattering of SH-waves by a semi-cylindrical hill with a hole above a subsurface cavity in half-space[J]. Journal of Harbin Engineering University, 2005, 26(5): 608-613
Authors:LI Min  LIU Dian-kui
Affiliation:1. Department of Mechanical Science and Engineering, Daqing Petroleum Institute, Daqing 163318, China; 2. School of Civil Engineering, Harbin Engineering University, Harbin 150001, China
Abstract:A study was performed on the interaction between a semi-cylindrical hill with homocentric hole above a subsurface cavity while impacted by SH-wave.Assistant functions,functions of complex variables,and a multi-polar coordinate method were used to discover an analytical solution.Numerical examples are provided to discuss the amplitude of displacement on the surface,as well as the dynamic stress concentration factor(DSCF) around the subsurface cavity and the homocentric hole.It is concluded that the existence of the subsurface cavity can decrease ground motion,while the homocentric hole decreases the model's stiffness,which should be considered while designing.
Keywords:scattering of SH-wave  assistant functions  semi-cylindrical hill with homocentric hole  subsurface cavity  dynamic stress concentration factor(DSCF)
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