SV波入射下多重散射问题的改进算法以及双排非连续刚性屏障的隔振研究

An improved method for multiple scattering under SV incident waves and vibration isolation using rows of piles

相比起Aviles等学者的单排非连续刚性屏障隔振理论,采用更为完整的Fourier-Bessel函数系的级数展开表达式来研究弹性波的多重散射问题,结合位移连续的边界条件,并引入更具一般意义上的Graf加法定理,推导了无限均匀介质中任意分布的多个刚性圆柱体对于平面SV波入射时散射系数的理论解析解。随后,取所有的圆柱体位于相平行的两条直线上,则问题演变成为双排刚性桩屏障对于平面SV波的隔离问题。重点讨论了两排桩之间的间距h对屏障整体隔振效果的影响及其他的一些隔振性状。特别地,当h=0时,该问题退化为常见的单排非连续屏障的隔振问题。

Compared with the conventional multiple scattering theories for vibration isolation by Aviles,an improved series expansion method of wave functions using more complete Fourier-Bessel function series was adopted here.With the help of boundary conditions of continuous displacements,and Graf＇s addition theorem in a more generalized perspective,the analytical solutions to multiple scattering by an arbitrary configuration of parallel rigid cylinders located in homogeneous unbounded soil were gained under the incidence of SV waves.Then,all the cylinders were rearranged in two parallel lines,it made the problem turn into the vibration isolation using rigid double-row multiple-row piles.The effect of the vibration isolation system and the other properties of the system were studied with the variation of h,the distance between two rows.