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任意排列的弹性实心桩屏障对平面SH波的多重散射
引用本文:夏唐代,孙苗苗,陈晨.任意排列的弹性实心桩屏障对平面SH波的多重散射[J].振动与冲击,2011,30(7):87.
作者姓名:夏唐代  孙苗苗  陈晨
作者单位:1. 软弱土与环境土工教育部重点实验室,浙江大学,310058;2. 浙江大学岩土工程研究所,浙江杭州,310058
摘    要:为了弥补以往假设单重散射的计算方法中不考虑桩列作为整体屏障从而忽略桩间互相干涉关系的不足,提出了一种新的理论计算方法以求解任意直径、任意排列的弹性桩对入射平面SH波的多重散射。通过桩土界面的位移、应力连续条件可以求得待定的多重散射系数。多重散射中,每根桩的第一重散射即为通常的单重散射;第二重散射可表示为该桩被其余桩的第一重散射波之和所激发的散射波;以此类推至无穷多重散射。将无限重散射叠加即任意直径、任意排列弹性桩对平面SH波的多重散射的精确解。随后数值算例分析讨论了不同散射重数、剪切模量、桩间距以及桩数等对单排弹性桩屏障隔离效果的影响,绘制了屏障后的无量纲位移曲线,并引入透射系数来评价非连续弹性桩屏障的隔振效果,对实际工程中的振动污染治理和屏障隔振设计提出了有意义的结论和建议。

关 键 词:岩土工程    非连续屏障    多重散射    无量纲位移    透射系数    隔振效果  
收稿时间:2010-3-15
修稿时间:2010-7-5

Multiple scattering of plane SH wave by an arbitrary configuration of elastic piles as barrier
XIA Tang-dai,SUN Miao-miao,CHEN Chen.Multiple scattering of plane SH wave by an arbitrary configuration of elastic piles as barrier[J].Journal of Vibration and Shock,2011,30(7):87.
Authors:XIA Tang-dai  SUN Miao-miao  CHEN Chen
Affiliation:1.Key Laboratory of Soft Soils and Geoenvironmental Engineering of Education Ministry, Zhejiang University, Hangzhou 310058, China;2. Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058,China
Abstract:A new method different from the past ones to calculate multiple scattering of SH wave by an arbitrary configuration of elastic piles as barrier for vibration isolation was established.The multiple scattering problem was solved by applying the equations of equilibrium under the assumption of each order of scattering satisfying the elastic boundary conditions.The first order of scattering was generated from the excitation of each elastic pile with incident plane SH wave,and the second order resulted from the ...
Keywords:geotechnical engineering  discontinuous barrier  multiple scattering  normalized displacement  transmissibility index  screening effectiveness  
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