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同Aviles等学者传统的多重散射隔振理论相比较,采用更为完整的Fourier-Bessel函数系的级数展开式来研究波的散射问题,同时,结合更具一般意义上的Graf加法定理,并引入连续性边界条件,得到了任意分布的多个刚性圆柱体关于平面SV波入射下散射系数的理论解析解。随后,取所有的圆柱体位于两条相平行的直线上,该问题演变成为双排非连续刚性屏障对于弹性SV波的隔离问题。引入无量纲位移和屏障后透射系数的概念,重点讨论了屏障双排桩之间间距h的影响以及屏障其他一些隔振性状。特别地,当h=0时,该问题退化为单排非连续刚性屏障的隔振问题。
Compared with the traditional theory of multiple scattering and isolation by Aviles et al., A more complete series expansion of the Fourier-Bessel function is used to study the wave scattering problem. In the meantime, in combination with the more generalized Graf addition theorem, The continuous boundary conditions are introduced to obtain the theoretic analytical solutions of the scattering coefficients of a plurality of rigid cylinders randomly distributed with plane SV waves. Subsequently, taking all the cylinders in two parallel straight lines, the problem evolved into the problem of the isolation of elastic SV waves by double row discontinuous rigid barriers. Introducing the concept of non-dimensional displacement and post-barrier transmissivity, the influence of the spacing h between two double-row piles and the other vibration isolation properties of the barrier are discussed. In particular, when h = 0, the problem degenerates into vibration isolation problems for a single row of discontinuous rigid barriers.