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假定桩的长度远大于直径,将多排弹性桩组成的非连续屏障对平面压缩快波(简称P1波)的隔离简化为弹性波多重散射的二维平面问题,运用复变函数的保角映射方法和波场势函数展开法,根据桩-土界面处应力和位移连续的边界条件,得到散射波场势函数展开式中待定复系数的理论解。通过分析屏障后的位移比值(某点由入射和散射弹性波产生的总位移与入射弹性波单独产生的位移之比)的变化规律,对比了单排、双排和三排桩屏障的隔离效果,研究结果表明:1)多排桩屏障对高频入射P1波的隔离效果好于低频入射P1波;2)随着桩排数的增多,多排桩屏障的隔离效果明显提高,有效隔离区域明显增大;3)当桩排数达到三排时,屏障后一定范围内的隔离效果提高到了70%,隔离效果比较理想。
Assuming that the length of the pile is much larger than the diameter, the isolation of the plane compression fast wave (P1 wave) by the discontinuous barrier composed of multi-row elastic piles is reduced to the two-dimensional plane problem of elastic wave multiple scattering. By using the conformal mapping Method and wavefield function expansion method, according to the continuous boundary conditions of stress and displacement at the pile-soil interface, the theoretical solution of the undetermined complex coefficient in the expansion function of the scattering wavefield potential function is obtained. By analyzing the variation of displacement ratio (the ratio of the total displacement generated by incident and scattered elastic waves to the displacement generated by incident elastic waves at some point), the isolation effect of single-row, double-row and three-row pile barriers is compared The results show that: 1) the isolation effect of multi-row piles barrier is better than that of low-frequency incident P1 waves; 2) With the increase of the number of piles, the isolation effect of multi-row piles barrier is obviously improved, Obviously increased; 3) When the number of rows of piles reaches three rows, the isolation effect within a certain range after the barrier is increased to 70%, and the isolation effect is ideal.