SH波入射下多重散射的改进算法及任意桩布置形式的隔振研究  

An improved method for multiple scattering under SH incident waves and analysis of vibration isolation

作　　者：夏唐代[1,2] 孙苗苗[1,2] 陈晨[1,2] 

机构地区：[1]浙江大学软弱土与环境土工教育部重点实验室,浙江杭州310058 [2]浙江大学岩土工程研究所,浙江杭州310058

出　　处：《振动工程学报》2010年第4期409-414,共6页Journal of Vibration Engineering

摘　　要：引入位移连续的边界条件并结合Graf加法定理,得到了任意分布的多个圆柱体对于弹性波入射时散射系数的理论解析解。随后,将此任意分布的多个圆柱体重新分布在相平行的两条直线上,该问题演变成为双排非连续屏障对于弹性波的隔离问题。引入无量纲位移概念来研究屏障的隔振效果,即屏障后某处土体由入射波和散射波引起的总的位移幅值与未设置屏障时由入射波在该处土体单独引起的位移幅值的比值。重点讨论了屏障的排间距h和桩间净距Sp对整体隔振效果的影响。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 proposed by Aviles, an improved expansion method of wave functions using more complete Fourier-Bessel function series is presented in this article. With the help of boundary conditions and Graf＇s addition theorem, the analytical solutions for multiple scattering by an arbitrary con- figuration of parallel cylinders under the incidence of SH waves are obtained. Then, all the cylinders are rearranged in two parallel lines, which makes the issue turn into the vibration isolation by multiple-row piles. The normalized displacements were introduced, which are the ratio of the displacement amplitudes of soil in total wave field to the displacement amplitudes only in incident wave field. The effectiveness of this vibration isolation system is investigated with the variation of h, distance between two rows ,and Sp, distance between two adjacent piles. Particularly, this problem degenerates into vibration isolation by single row of piles when h = 0.

关 键 词：弹性SH波 多重散射 波函数 无量纲位移 工程隔振 

分 类 号：TU435[建筑科学—岩土工程]