浅埋圆形夹杂附近半圆形沉积层对SH波的散射与地表位移
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
采用辅助函数思想,利用复变函数和多极坐标的方法给出地下浅埋圆形夹杂与地面上半圆形沉积层对SH波散射问题的解答。在求解过程中,采用“分区”和“契合”的方法,分别构造各“分区”的位移场和应力场,并在对应的“公共边界”上分别实施位移和应力连续条件,建立起求解该问题的无穷代数方程组,给出分析例题和数值结果,并对其进行讨论。
By use of the idea of assistant function,the ground motion of a semi-cylindrical alluvial valley above a subsurface circular structure impacted by incident SH-wave is studied by complex function and multi-polar coordinate method.The displacement field and stress field of every"subarea" are formed by "subarea" methods during finding solutions and the algebras equations are set up by the condition of contiuous displacements and stresses on "common boundary".Finally,numerical examples and relative discussion are provided.
引文
[1]M.D.Trifunac.Surface Motion of a Semi-cylindrical Al-luvial Valley for Incident Plane SH Waves[J].Bulletin ofthe Seismological Society of America,1971,61(6):1755-1770.
    [2]H.L.Wong,M.D.Trifunac.Surface Motion of a Semi-elliptical Alluvial Valley for Incident Plane SH Waves[J].Bulletin of the Seismological Society of America,1974,64(5):1389-1408.
    [3]Tordovoska M,Lee V W.Surface Motion of a ShallowCircular Alluvial Valleys for Incident Plane SH Waves:Analytical Solution[J].Soil Dynam Earthq Eng,1991,4:192-200.
    [4]Yuan Xiaoming,Liao Zhenpeng.Scattering of Plane SHWaves by a Cylindrical Alluvial Valley of Circular ArcCross Section[J].Earthq Eng Struc Dynam,1995,24:1303-1313.
    [5]梁建文,严林隽,Vincent W.Lee.圆弧形层状沉积谷地对入射平面P波的散射解析解[J].地震学报,2001,23(2):167-184.
    [6]梁建文,严林隽,Vincent W.Lee.圆弧形凹陷地形表面覆盖层对入射平面SV波的影响[J].地震学报,2001,23(6):622-636.
    [7]梁建文,严林隽,李军伟,等.圆弧形沉积河谷场地在平面P波入射下的响应[J].岩土力学,2001,22(2):138-143.
    [8]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.
    [9]Wang G.Q.,Liu D.K..Scattering of SH-wave byMultiple Circular Cavities in Half Space[J].EarthquakeEngineering and Engineering vibration,2002,1(1):36-44.

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