饱和土中管桩对倾斜入射弹性波的隔离

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (3) : 121-124,.

论文

饱和土中管桩对倾斜入射弹性波的隔离

丁光亚1;蔡袁强1,2;王军1;王鹏2

作者信息 +

Isolation of obliquely incident elastic waves by an arrayof pipe piles in saturated soil

Ding Guangya1;Cai Yuanqiang1,2;Wang Jun 1;Wang Peng2

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文章历史 +

摘要

在Biot饱和土波动方程的基础上，分析了全空间均质饱和土体中单排空心管桩对倾斜入射弹性波的隔离效果。将倾斜入射波和散射波的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。数值算例分析了饱和土体的渗透性和管桩的壁厚等参数对管桩隔离效果的影响。结果表明：空心管桩的隔离效果要好于实心排桩；随着饱和土体渗透性的降低，管桩的隔离效果越好，但当渗透性降低到一定程度后，再减小土体渗透性对管桩的隔离效果影响不大。

Abstract

On the basis of Biot’s dynamic theory, the isolation effectiveness of obliquely incident elastic waves by an array of pipe piles in saturated soil was investigated. The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and the Graff’s addition theorem. A parametric analysis was conducted to study the influence of the soil permeability and the wall thickness of the pipe pile on the isolation effectiveness. The numerical results show that for an array of pipe piles, the isolation effectiveness is better than that of an array of solid piles, and the isolation effectiveness increases with the decrease of the soil permeability.

导出引用

丁光亚;蔡袁强;王军;王鹏. 饱和土中管桩对倾斜入射弹性波的隔离[J]. 振动与冲击, 2010, 29(3): 121-124,

Ding Guangya;Cai Yuanqiang;Wang Jun;Wang Peng. Isolation of obliquely incident elastic waves by an arrayof pipe piles in saturated soil[J]. Journal of Vibration and Shock, 2010, 29(3): 121-124,

中图分类号： TU435