弹性波多重散射的改进算法及双排刚性桩隔振研究

IMPROVED METHOD FOR MULTIPLE SCATTERING UNDER SV INCIDENT WAVES AND ANALYISIS OF VIBRATION ISOLATION

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 conventional multiple scattering theories for vibration isolation of Aviles, an improved expansion method of wave functions using more complete Fourier-Bessel function series was adopted in this paper. With the help of boundary conditions of continuous displacements and Graf＇s addition theorem which is in a more generalized perspective, the analytical solutions for multiple scattering by an arbitrary configuration of parallel cylinders under the incidence of SV waves were deduced. Then, all the cylinders have been rearranged in two parallel lines, which convert the problem into vibration isolation using multiple rows of rigid piles. The normalized displacements and the transmission index were introduced to study the vibration isolation system. Besides, the discussion mainly focused on the effect of the system with varied h, the distance between two rows.