SH波入射时多个半圆凸起地形附近浅埋圆孔的动力分析
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摘要
采用“契合”的思想,给出了SH波入射时多个半圆凸起地形附近单个浅埋圆孔的动力分析。将整个求解区域分割成2部分,分别构造预先满足凸起边界和水平边界应力自由的位移解,然后再通过移动坐标,使其满足“公共边界”的“契合”条件和浅埋孔洞的边界条件,建立起求解该问题的无穷代数方程组。给出算例,并讨论了孔洞周边动应力集中系数的数值结果。
Dynamic analysis for subsurface cavity near semi-cylindrical hills impacted by S H-wave was studied by means of complex function, multi-polar coordinates as well as "conjunction" idea. The model was divided into two domains, domain I was s everal circles including boundary of the hills, and the rest was regarded as dom ain II, which was an elastic half-space including semi-cylindrical canyons whose boundaries were the shared lines of the two domains and the subsurface circular cavity. Standing waves satisfying the condition of stress free at the hills'we dges were constructed in domain I, while scattered wave function satisfying the zero-stress condition at the horizontal surface was constructed in the other dom ain. By employing zero-stress condition around the circular cavity and displacem ent-stress continuity on the domains'shared lines, the problem was solved. Nume rical examples and relative discussion were given finally.
Dynamic analysis for subsurface cavity near semi-cylindrical hills impacted by S H-wave was studied by means of complex function, multi-polar coordinates as well as "conjunction" idea. The model was divided into two domains, domain I was s everal circles including boundary of the hills, and the rest was regarded as dom ain II, which was an elastic half-space including semi-cylindrical canyons whose boundaries were the shared lines of the two domains and the subsurface circular cavity. Standing waves satisfying the condition of stress free at the hills'we dges were constructed in domain I, while scattered wave function satisfying the zero-stress condition at the horizontal surface was constructed in the other dom ain. By employing zero-stress condition around the circular cavity and displacem ent-stress continuity on the domains'shared lines, the problem was solved. Nume rical examples and relative discussion were given finally.
引文
1 廖振鹏.工程波动理论导引.北京:科学出版社,1996
2 Liu Diankui,Han Feng.Scattering of Plane SH-waves by a Cylindri-cal Canyon of Arbitrary Shape.Int J Soil Dynamic and Earthquake En-gineering,1991,10(5):249~255
3 Xiaoming Yuan,Fulu Men.Scattering of Plane SH-waves by a Semi-cylindrical Hill.Earthq Eng and Struct Dynamics,1992(21):1091~1098
4 崔志刚,曹欣荣,刘殿魁.SH波对半圆形凸起地形的散射.地震工程与工程振动,1998,18(1):140~146
5 刘殿魁,曹欣荣,崔志刚.多个半圆形凸起地形对平面SH波散射.固体力学学报,1998(特刊):178~185
6 刘殿魁,许贻燕.各向异性介质中SH波与多个半圆形凹陷地形的相互作用.力学学报,1993,25(1):93~102
2 Liu Diankui,Han Feng.Scattering of Plane SH-waves by a Cylindri-cal Canyon of Arbitrary Shape.Int J Soil Dynamic and Earthquake En-gineering,1991,10(5):249~255
3 Xiaoming Yuan,Fulu Men.Scattering of Plane SH-waves by a Semi-cylindrical Hill.Earthq Eng and Struct Dynamics,1992(21):1091~1098
4 崔志刚,曹欣荣,刘殿魁.SH波对半圆形凸起地形的散射.地震工程与工程振动,1998,18(1):140~146
5 刘殿魁,曹欣荣,崔志刚.多个半圆形凸起地形对平面SH波散射.固体力学学报,1998(特刊):178~185
6 刘殿魁,许贻燕.各向异性介质中SH波与多个半圆形凹陷地形的相互作用.力学学报,1993,25(1):93~102
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