浅埋可移动圆柱形刚性夹杂附近的半圆形凸起对SH波的散射
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摘要
采用“契合”方法,提出了地下可移动圆柱形刚性夹杂与地面上半圆形凸起地形对SH波散射问题的解答.将整个求解区域分割为两部分,在其中分别构造位移解,通过移动坐标,在“公共边界”上实施“契合”,并同时满足地下可移动刚性夹杂的边界条件,从而建立起求解该问题的无穷代数方程组.最后介绍了地表位移幅值的数值结果以及凸起地形顶点位移幅值随可移动刚性夹杂埋深的变化情况.讨论表明,浅埋刚性可移动夹杂对地表位移幅值的影响不能忽略.
Scattering of SH-wave by a semi-cylindrical hill above a subsurface removable rigid cylindrical inclusion in half-space was studied based on"conjunction".The whole solution domain was divided into two parts,and the displacement solutions were constructed in two parts respectively.By moving coordinates,the two domains were conjoined to satisfy the ′conjunction′ condition and the boundary condition around the subsurface removable rigid cylindrical inclusion,and then a set of infinite algebraic equations about the problem could be obtained.Finally,the computational results of surface displacement and the variation of displacement amplitudes of the hill peak with embedded depth of inclusion were provided.Discussion shows that the influence of subsurface removable rigid inclusion on surface displacement cannot be ignored.
Scattering of SH-wave by a semi-cylindrical hill above a subsurface removable rigid cylindrical inclusion in half-space was studied based on"conjunction".The whole solution domain was divided into two parts,and the displacement solutions were constructed in two parts respectively.By moving coordinates,the two domains were conjoined to satisfy the ′conjunction′ condition and the boundary condition around the subsurface removable rigid cylindrical inclusion,and then a set of infinite algebraic equations about the problem could be obtained.Finally,the computational results of surface displacement and the variation of displacement amplitudes of the hill peak with embedded depth of inclusion were provided.Discussion shows that the influence of subsurface removable rigid inclusion on surface displacement cannot be ignored.
引文
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[2]LIU Diankui,HAN Feng.Scattering of plane SH-waves bycylindrical canyon of arbitrary shape in anisotropic media[J].Acta Mechanica Sinica,1990,6(3):256-260.
[3]LIU Diankui,HAN Feng.Scattering of plane SH-waves bya cylindrical canyon of arbitrary shape[J].Soil Dynamicand Earthquake Engineering,1991,10(5):249-255.
[4]YUAN Xiaoming,MEN Fulu.Scattering of plane SH-wavesby a semi-cylindrical hill[J].Earthq Eng and Struct Dy-namics,1992,21:1091-1098.
[5]崔志刚,曹欣荣,刘殿魁.SH波对半圆形凸起地形的散射[J].地震工程与工程振动,1998,18(1):140-146.CUI Zhigang,CAO Xinrong,LIU Diankui.Scattering ofSH-wave by semi-cylindrical hill[J].Earthquake Engineer-ing and Engineering Vibration,1998,18(1):140-146.
[6]LEE VW,MANOOGIANME.Surface motion above an ar-bitrary shape undergrand cavity for incident SH wave[J].European Earthque Engineering,1995,8(1):3-11.
[7]LEE V W,CHEN S,HSU I R.Antiplane diffraction fromcanyon above dubsurface unlined tunner[J].Journal of En-gineering Mechanics,ASCE,1999,125(2):668-674.
[8]林宏,史文谱,刘殿魁.SH波入射时浅埋结构的动力分析[J].哈尔滨工程大学学报,2001,22(3):83-87.LIN Hong,SHI Wenpu,LIU Diankui.On the scattering ofSH-wave by interface crack and circular cavity near the in-terface[J].Journal of Harbin Engineering University,2001,22(3):83-87.
[9]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.LIUDiankui,WANG Guoqing.Antiplane SH-defotmation ofa semi-cylindrical hill above a subsurface cavity[J].ACTAMechanica Sinica,2006,38(2):209-218.
[10]LIUDiankui,LIN Hong.Scattering of SH-waves by an in-teracting interface linear crack and a circular cavity nearbiomaterial interface[J].Acta Mechanica Sinica,2004,20(3):317-326.
[2]LIU Diankui,HAN Feng.Scattering of plane SH-waves bycylindrical canyon of arbitrary shape in anisotropic media[J].Acta Mechanica Sinica,1990,6(3):256-260.
[3]LIU Diankui,HAN Feng.Scattering of plane SH-waves bya cylindrical canyon of arbitrary shape[J].Soil Dynamicand Earthquake Engineering,1991,10(5):249-255.
[4]YUAN Xiaoming,MEN Fulu.Scattering of plane SH-wavesby a semi-cylindrical hill[J].Earthq Eng and Struct Dy-namics,1992,21:1091-1098.
[5]崔志刚,曹欣荣,刘殿魁.SH波对半圆形凸起地形的散射[J].地震工程与工程振动,1998,18(1):140-146.CUI Zhigang,CAO Xinrong,LIU Diankui.Scattering ofSH-wave by semi-cylindrical hill[J].Earthquake Engineer-ing and Engineering Vibration,1998,18(1):140-146.
[6]LEE VW,MANOOGIANME.Surface motion above an ar-bitrary shape undergrand cavity for incident SH wave[J].European Earthque Engineering,1995,8(1):3-11.
[7]LEE V W,CHEN S,HSU I R.Antiplane diffraction fromcanyon above dubsurface unlined tunner[J].Journal of En-gineering Mechanics,ASCE,1999,125(2):668-674.
[8]林宏,史文谱,刘殿魁.SH波入射时浅埋结构的动力分析[J].哈尔滨工程大学学报,2001,22(3):83-87.LIN Hong,SHI Wenpu,LIU Diankui.On the scattering ofSH-wave by interface crack and circular cavity near the in-terface[J].Journal of Harbin Engineering University,2001,22(3):83-87.
[9]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.LIUDiankui,WANG Guoqing.Antiplane SH-defotmation ofa semi-cylindrical hill above a subsurface cavity[J].ACTAMechanica Sinica,2006,38(2):209-218.
[10]LIUDiankui,LIN Hong.Scattering of SH-waves by an in-teracting interface linear crack and a circular cavity nearbiomaterial interface[J].Acta Mechanica Sinica,2004,20(3):317-326.
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