相邻多个浅圆弧凹陷地形对平面SH波散射的级数解
Series solution for Scattering of Plane SH-Waves by Multiple Shallow Circular-Arc Canyons
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摘要: 本文采用解析法研究相邻多个线圆弧凹陷地形对平面SH波散射问题。文中由分离变量法把相邻多个圆弧凹陷对平面SH波的多重散射表示为各局部坐标中的级数之和,再利用Graf加法公式的内域和外域表达式进一步表示某个局部坐标中的双重无穷级数形式。问题最后可归结为求解一组无穷型的线性代数方程。文末给出了相邻两个等直径浅圆弧凹陷地形的多种深宽比对地面运动的影响的计算结果,并讨论了浅圆凹陷地形对波的屏蔽及它们之间的相互作用。
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关键词:
- 相邻多个浅圆弧凹陷地形 /
- 散射 /
- 级数解
Abstract: he analytcal method is used for the problem of seattering of plane SH-waves bymultiple shallow circur-are cangons.The solution of multiple scattering of plane SH-wares is first expressed as the sum of series of solutions im each of local coordinates using separation of variadles and is then converted into the form of dual infinite seriesof a local coordinate system by Graf's addition formula suitable for the interior and exterior problems.The solution of the problem is finally reduced to solving a set of infinite algbraic dquations:Numerical results of scattering influence on the motion on the earth surace are presented for the two adjacent shallow circular-arc canyons with the same diameter and variable depth-to-width ratio,and the effect of screening and interaction between canyons are discussed in the paper. -
[1] W.D.Smith.The application of finite element analysis to body wave propogation problem,Geoplys.J.Res.Astr.Sov.,42(1075),747-768. [2] D.M.Boore,A note on the effect of simple topography on seimsic SH-waves,Bull Seism.Soc.Amer.,62(1972).275-284. [3] L.B.Sills,Scattering of horizontally-polarized shear waves by surface irregularities Geophys.J.R.Astr.Soc.,54(1987).319-348. [4] 黎晓鹰、徐植信,二维地表任意形状沟谷对SH波传播的影响,固体力学学报,7 (3)(1986),229-238. [5] 弃振鹏、刘晶波,波动有限元的基本问题.中国科学(B辑),8(1992),874-882. [6] M.D.Tirfunca,Scattering of plane SH-waves by a semi-cylindrical canyon,Int.J.Earthy.Eng.Struet.Dgn.,1(1973).267-281. [7] H.L Wang and M.D.Tirfunca,Scattering of plane SH-waves by a semi-elliptlacl canyon.Int.J.Earthy.Eng.Struct.Dyn.,3(1974).157-169. [8] 袁晓铭、廖振鹏,圆弧形凹陷地形对平面SH波散射问题的级数解答,地震工程与工程振动,13(2)(1993),1-11. [9] Yuan Xiaoming and Men Fulu.Scattering of plane SH-waves by a semi-cylindrical hill.Int.J.Earthy.Eng.Struct.Dyn.,21(1992).1091-1098. -
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