SV波入射下多重散射问题的改进算法以及双排非连续刚性屏障的隔振研究

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (4) : 86-90.

论文

SV波入射下多重散射问题的改进算法以及双排非连续刚性屏障的隔振研究

夏唐代1，2; 陈晨1，2; 孙苗苗1，2

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An Improved Method for Multiple Scattering under SV Incident Waves and Vibration Isolation Using Rows of Piles

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摘要

摘要：相比起Aviles等学者的单排非连续刚性屏障隔振理论，采用更为完整的Fourier-Bessel函数系的级数展开表达式来研究弹性波的多重散射问题，结合位移连续的边界条件，并引入更具一般意义上的Graf加法定理，推导了无限均匀介质中任意分布的多个刚性圆柱体对于平面SV波入射时散射系数的理论解析解。随后，取所有的圆柱体位于相平行的两条直线上，则问题演变成为双排刚性桩屏障对于平面SV波的隔离问题。重点讨论了两排桩之间的间距h对屏障整体隔振效果的影响及其他的一些隔振性状。特别地，当h=0时，该问题退化为常见的单排非连续屏障的隔振问题。

Abstract

Abstract: Compared with the conventional multiple scattering theories for vibration isolation of Aviles, an improved expansion method of wave functions using more complete Fourier-Bessel function series has been adopted in this article. With the help of boundary conditions of continuous displacements, and Graf’s addition theorem which is in a more generalized perspective, the analytical solutions for multiple scattering by an arbitrary configuration of parallel rigid cylinders, which are located in homogeneous unbounded soil, have been gained under the incidence of SV waves. Then, all the cylinders have been rearranged in two parallel lines, which makes the problem turn into the vibration isolation using rigid multiple-row piles. The effect of this vibration isolation system and other properties of the system were researched with the variation of h, the distance between two rows.

导出引用

夏唐代;陈晨;孙苗苗;. SV波入射下多重散射问题的改进算法以及双排非连续刚性屏障的隔振研究[J]. 振动与冲击, 2011, 30(4): 86-90

An Improved Method for Multiple Scattering under SV Incident Waves and Vibration Isolation Using Rows of Piles[J]. Journal of Vibration and Shock, 2011, 30(4): 86-90