任意排列的弹性实心桩屏障对平面SH波的多重散射

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (7) : 87-90,9.

论文

任意排列的弹性实心桩屏障对平面SH波的多重散射

夏唐代1,2; 孙苗苗1,2; 陈晨1,2

作者信息 +

Multiple Scattering of Plane SH wave by an Arbitrary Configuration of Elastic Piles as Barrier

XIA Tang-dai1,2; SUN Miao-miao1,2; CHEN Chen1,2

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文章历史 +

摘要

为了弥补以往假设单重散射的计算方法中不考虑桩列作为整体屏障从而忽略桩间互相干涉关系的不足，提出了一种新的理论计算方法以求解任意直径、任意排列的弹性桩对入射平面SH波的多重散射。通过桩土界面的位移、应力连续条件可以求得待定的多重散射系数。多重散射中，每根桩的第一重散射即为通常的单重散射；第二重散射可表示为该桩被其余桩的第一重散射波之和所激发的散射波；以此类推至无穷多重散射。将无限重散射叠加即任意直径、任意排列弹性桩对平面SH波的多重散射的精确解。随后数值算例分析讨论了不同散射重数、剪切模量、桩间距以及桩数等对单排弹性桩屏障隔离效果的影响，绘制了屏障后的无量纲位移曲线，并引入透射系数来评价非连续弹性桩屏障的隔振效果，对实际工程中的振动污染治理和屏障隔振设计提出了有意义的结论和建议。

Abstract

A new method that is different from the past ones to calculate the multiple scattering of SH wave by an arbitrary configuration of elastic piles as barrier for vibration isolation has been established. The multiple scattering problem is solved by applying the equations of equilibrium under the assumption of each order of scattering satisfying the elastic boundary conditions. The first order of scattering is generated from the excitation of each elastic pile by incident plane SH wave, and the second order results from the excitation of each pile by the first order of scattering induced by remaining piles, so does the rest to an infinite. Thus, the analytic solution contains sum of all the scattering orders after the undetermined scattering coefficients have been obtained. The contours of normalized displacement amplitude, which represent the ratio of total wave field displacement amplitude to incident wave field, are imposed. The parametric analysis such as scattering orders, shear modulus ratio, the separation between piles, pile numbers and the transmissibility index are investigated in the one-row piles barrier to evaluate the screening effectiveness. These numerical results count future discontinuous barrier design for useful conclusions.

导出引用

夏唐代;孙苗苗;陈晨;. 任意排列的弹性实心桩屏障对平面SH波的多重散射[J]. 振动与冲击, 2011, 30(7): 87-90,9

XIA Tang-dai;SUN Miao-miao;CHEN Chen;. Multiple Scattering of Plane SH wave by an Arbitrary Configuration of Elastic Piles as Barrier[J]. Journal of Vibration and Shock, 2011, 30(7): 87-90,9