地下圆形衬砌洞室对SH波的散射(Ⅰ):3-D级数解  

Scattering of an underground cylindrical lined cavity subjected to incident plane SH waves(Ⅰ): 3-D series solution

作　　者：纪晓东[1] 郭伟[1,2] 

机构地区：[1]大连大学建筑工程学院,辽宁大连116622 [2]大连理工大学土木工程学院,辽宁大连116024

出　　处：《辽宁工程技术大学学报（自然科学版）》2013年第10期1381-1384,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：辽宁省教育厅高等学校科研计划基金资助项目(2008058)

摘　　要：针对地下圆形衬砌洞室对入射平面SH波的散射问题,采用波函数展开法,研究了不同频率入射波作用下,圆形衬砌洞室散射的三维级数解.结果表明:当入射波所在平面与圆形衬砌洞室Z轴互相垂直时,该级数解退化为半无限二维空间中的结果.级数解为定量研究圆形衬砌洞室对不同入射角度和入射波长下的SH波的散射引起的地震动的影响提供了理论依据.By using series expansion method, scattering of a underground cylindrical lined cavity subjected to incident plane SH waves was studied and the 3-D series solution was presented. The results of study show that when the plane of incident waves and z-axis of the cavity are perpendicular to one another, the series solution can be reduced to the solution for the cavity in two-dimensional half-space. The series solution can be used to quantitatively analyze the effects of a cylindrical lined cavity subjected to incident SH waves due to varies incident wavelength and angle on the ground motion.

关 键 词：圆形衬砌洞室 SH波 散射 波函数展开法 三维级数解 入射角度 入射波长 地震动 

分 类 号：O347.4[理学—固体力学]