多排任意排列的弹性桩屏障对平面P波或SV波多重散射

孙苗苗;;夏唐代;

振动与冲击 ›› 2014, Vol. 33 ›› Issue (6) : 148-155.

PDF(2622 KB)
PDF(2622 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (6) : 148-155.
论文

多排任意排列的弹性桩屏障对平面P波或SV波多重散射

  • 孙苗苗1,2,3,4,夏唐代3,4

作者信息 +

Multiple scattering of P and SV waves by muti-row arebitrarily arranged elastic piles barrier

  • SUN Miao-miao1,2,3,4,XIA Tang-dai3,4

Author information +
文章历史 +

摘要

提出可计算任意排列、任意圆截面多排弹性桩屏障对平面P波或SV波的多重散射理论方法,可弥补单重散射假定只在散射体截面尺寸相对入射波长可忽略情况下成立的不足,并考虑桩与桩间互相干涉现象。散射过程定义任意一弹性桩对入射P波或SV波的散射为第一重,第二重散射可将第一重散射波作为次生波源,继而对所有散射体皆遵循此过程;每一重散射均在桩土边界满足应力及位移连续条件,从而获得前一重与后一重散射的波函数迭代关系;总散射波场可由所有散射体各重散射叠加获得。数值计算考查相同截面多排桩屏障的散射重数、桩距、排距、桩土模量比等参数对屏障隔离效果影响。该方法可作为实际工程隔振设计理论参考依据。

Abstract

A theoretical method of calculating multiple scattering of P and SV waves by arbitrarily arranged and circular cross-section multi-row elastic piles barrier is presented, which has covered the shortage that single scattering hypothesis is reasonable only under the cross-section size is negligible compared with the incident wave length, and this method is considered interference phenomenon as well. It is defined first order scattering of P and SV waves by an arbitrary elastic pile s, the second order scattering is regarded as the first scattering waves induced, thus all scatterers and successive orders follow this multiple scattering process. Every order of scattering satisfies stress and displacement continuity conditions at pile-soil interface and an iteration relationship of wave functions is obtained. Total scattering wave field is achieved by composing all orders scattering by scatterers. It is investigated the influences of scattering orders, separations of piles, distances of pile-rows and shear modulus ratio of pile and soil etc. on isolation effectiveness of pile barriers, which are some of referred basis in practical engineering vibration isolation design.


关键词

隔振 / 多重散射 / 非连续屏障 / 任意排列 / 弹性桩

Key words

vibration isolation / multiple scattering / discontinuous barrier / arbitrarily arranged / elastic piles

引用本文

导出引用
孙苗苗;;夏唐代;. 多排任意排列的弹性桩屏障对平面P波或SV波多重散射[J]. 振动与冲击, 2014, 33(6): 148-155
SUN Miao-miao;;XIA Tang-dai;. Multiple scattering of P and SV waves by muti-row arebitrarily arranged elastic piles barrier[J]. Journal of Vibration and Shock, 2014, 33(6): 148-155

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