SH波入射时多个半圆形沉积谷地附近浅埋圆形孔洞的动力分析
|
摘要
本文采用辅助函数的思想,利用复变函数和多级坐标的方法给出了SH波入射条件下多个半圆形沉积谷地附近浅埋圆形孔洞动力分析问题的解答。将整个求解区域分割成两部分来处理,区域I为多个半圆形沉积谷地,区域II为浅埋圆形孔洞附近带半圆形凹陷的半无限弹性空间。在区域I和II中分别构造位移解,并在二个区域的“公共边界”上实施位移应力的连续条件,建立求解该问题的无穷代数方程组。最后,本文给出了算例和数值结果,并对其进行了讨论。
Dynamic response of a shallow-embedded cylindrical lining cavity below semi-cylindrical alluvial valleys to incident SH waves is studied by using complex function.The model is divided into two parts,and two solutions are constructed in the domains,respectively.One is a standing wave,while another is the scattering by multiple semi-cylindrical alluvial valleys and a subsurface circular cavity.Each of the two functions satisfies the zero-stress condition at the horizontal boundary.By employing displacement and stress continuity condition on the interface,the problem to be solved can be reduced to solving a set of infinite linear algebraic equations.Finally,the computational results of dynamic stress concentration factors and some discussions are provided.
Dynamic response of a shallow-embedded cylindrical lining cavity below semi-cylindrical alluvial valleys to incident SH waves is studied by using complex function.The model is divided into two parts,and two solutions are constructed in the domains,respectively.One is a standing wave,while another is the scattering by multiple semi-cylindrical alluvial valleys and a subsurface circular cavity.Each of the two functions satisfies the zero-stress condition at the horizontal boundary.By employing displacement and stress continuity condition on the interface,the problem to be solved can be reduced to solving a set of infinite linear algebraic equations.Finally,the computational results of dynamic stress concentration factors and some discussions are provided.
引文
[1]刘殿魁.林宏.浅埋的圆形孔洞对SH波散射与地震动[J].爆炸与冲击,2003,23(1):6~12.
[2]林宏,刘殿魁.半无限空间中圆形孔洞周围SH波的散射[J].地震工程与工程振动,2002,22(2):9~16.
[3]齐辉,王艳,刘殿魁.半无限空间界面附近SH波对圆形衬砌的散射[J].地震工程与工程振动,2003,23(3):41~46.
[4]Lee V W,Chen S,Hsu I R.Antiplane d iffraction from canyon above subsurface un lined tunner[J].A.S.C.E.Eng.M ech.D iv.1999.
[5]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):11~25.
[6]Trifunac MD.Surface motion of a sem i-cylindrical alluvial valley for incident plane SH waves[J].Bu lletin ofThe Seismological Society ofAm eri-ca.1971,61(6):1755~1770.
[7]W ong HL,Trifunac MD.Surface motion of a sem i-elliptical alluvial valley for incident plane SH waves[J].Bu lletin of The Seismological Societyof am erica,1974,64(5):1389~1408.
[8]Tordovoska M,Lee V W.SurfaceMotion of a Shallow C ircu larA lluvialValleys for incident P lane SH W aves:Analytical Solution[J].SoilDynamEarthq.Eng.,1991,4:192~200.
[9]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.
[2]林宏,刘殿魁.半无限空间中圆形孔洞周围SH波的散射[J].地震工程与工程振动,2002,22(2):9~16.
[3]齐辉,王艳,刘殿魁.半无限空间界面附近SH波对圆形衬砌的散射[J].地震工程与工程振动,2003,23(3):41~46.
[4]Lee V W,Chen S,Hsu I R.Antiplane d iffraction from canyon above subsurface un lined tunner[J].A.S.C.E.Eng.M ech.D iv.1999.
[5]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):11~25.
[6]Trifunac MD.Surface motion of a sem i-cylindrical alluvial valley for incident plane SH waves[J].Bu lletin ofThe Seismological Society ofAm eri-ca.1971,61(6):1755~1770.
[7]W ong HL,Trifunac MD.Surface motion of a sem i-elliptical alluvial valley for incident plane SH waves[J].Bu lletin of The Seismological Societyof am erica,1974,64(5):1389~1408.
[8]Tordovoska M,Lee V W.SurfaceMotion of a Shallow C ircu larA lluvialValleys for incident P lane SH W aves:Analytical Solution[J].SoilDynamEarthq.Eng.,1991,4:192~200.
[9]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.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心