多排柱腔构成的非连续屏障对SV波的隔离

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (12) : 84-87.

论文

多排柱腔构成的非连续屏障对SV波的隔离

徐平

作者信息 +

Isolation of Plane SV Waves by Discontinuous Barriers Composed of Several Rows of Cylindrical Cavities

Xu Ping

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文章历史 +

摘要

　运用复变函数的保角映射方法和波函数展开法，根据柱腔壁处土体完全自由，即应力为零的边界条件，得到了多排柱腔构成的屏障对入射平面SV波的多重散射的理论解，根据屏障后归一化位移(入射和散射SV波产生的总位移与入射SV波在同一点产生的位移之比)的变化规律，着重分析了多排(双排和三排)和单排柱腔对平面SV波的隔离效果，结果表明：(1) 双排和三排柱腔屏障的隔离效果明显好于单排柱腔屏障；(2) 当入射SV波的频率较低时，双排并列正对的柱腔屏障的隔离效果较好，而当频率较高时，双排交错的柱腔屏障的隔离效果较好；(3) 三排梅花桩布置的柱腔屏障的隔离效果好于双排柱腔，当入射SV波的频率较高时，屏障后有近3/4的面积的隔离效果都超过了60%；(4) 无论是单排还是多排柱腔屏障，当入射SV波频率较高时，靠近屏障边缘区域的隔离效果要好于中心区域。

Abstract

The conformal mapping method of complex functions and expansion method of wave functions were adopted, the boundaries of the cavities were considered to be free and the stresses of the soils at the cavities were zero, and then the theoretical solutions were obtained about the multiple scattering problem of incident plane SV waves by the discontinuous barriers composed of several rows of cylindrical cavities. By studying the normalized displacements which are the ratios of the displacements caused by the incident and scattering SV waves to those only by the incident SV waves, the isolation effects of the barriers composed of one or more rows of cylindrical cavities were analyzed, and some more important conclusions were drawn out, which are that: (1) the isolation effects of the barriers composed of two, three and more rows of cylindrical cavities are better than those composed of only one row; (2) when the frequencies of the incident SV waves are lower, the isolation effects of the barriers composed of two rows of parallel positive aligned cylindrical cavities are better, while when the frequencies are higher, the isolation effects of two rows of parallel staggered cylindrical cavities are better; (3) the isolation effects of the barriers composed of three rows of cylindrical cavities are more better than those of two rows, and when the incident SV waves are higher, there are about 3/4 areas behind the barriers have better isolation effects that more than 60%; (4) as to the barriers composed of one or more rows of cylindrical cavities, when the incident frequencies of SV waves are higher, the areas near the edge of the barriers have better isolation effects than the middle.

导出引用

徐平. 多排柱腔构成的非连续屏障对SV波的隔离[J]. 振动与冲击, 2009, 28(12): 84-87

Xu Ping. Isolation of Plane SV Waves by Discontinuous Barriers Composed of Several Rows of Cylindrical Cavities[J]. Journal of Vibration and Shock, 2009, 28(12): 84-87

中图分类号： TU435