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运用复变函数的保角映射方法和波函数展开法,利用P波和SH波耦合散射的特性,根据土体在柱腔壁处完全自由(即径向应力和切向应力为零)的边界条件,得到了多排柱腔列构成的非连续屏障对平面P波和SH波隔离的二维平面问题的理论解,通过绘制屏障后归一化位移(同一点处由入射和散射波产生的总位移与入射波单独产生的位移之比)的等值线图,分析了多排柱腔对平面P波和SH波的隔离效果,并与单排刚性桩作了对比,结果表明:(1)P波和SH波的隔离效果都随着柱腔排数的增多而明显提高;(2)在半径、间距和屏障整体宽度相同的条件下,要超过单排刚性桩屏障的隔离效果,对于P波,需两排柱腔,而对于SH波,则需三排柱腔。这为多排柱腔屏障的隔振设计提供了理论依据和参考。
By using the conformal mapping method and the wave function expansion method of complex functions, the characteristics of the coupled scattering of P-wave and SH-wave are used. According to the boundary between the soil body with completely free (ie, zero radial stress and tangential stress) The theoretical solution to the two-dimensional plane problem of plane P-wave and SH-wave isolation obtained by discontinuous barriers composed of multi-row cylindrical columns is obtained. By normalizing the displacement after displacement of the barrier (caused by incident and scattered waves at the same point The total displacement and incident wave generated displacement ratio) of the contour map, analysis of the multi-column cavity on the plane P wave and SH wave isolation effect, and compared with a single row of rigid pile, the results showed that: (1 ) The isolation effect of P-wave and SH-wave are obviously improved with the increase of row number of column cavity. (2) The isolation effect of single-row rigid-pile barrier should be surpassed under the same radius, For P wave, two rows of column cavities are required, while for SH waves, three rows of column cavities are required. This provides a theoretical basis and reference for the vibration isolation design of multi-row cylindrical cavity barrier.