非连续屏障对Rayleigh波宽频散射三维快速边界元模拟

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (19) : 89-97.

论文

刘中宪1,3，符瞻远1，苗雨2，王治坤1，李昌俊1

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3-D simulation for broadband scattering of Rayleigh wave by discontinuous barrier based on FMP-IBEM

LIU Zhong-xian1,3, Fu Zhan-yuan1，Miao Yu2, Wang Zhi-kun1, Li Chang-jun1

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文章历史 +

摘要

基于单层位势理论，将快速多极子-间接边界元方法（FMM-IBEM）拓展到弹性半空间群桩对弹性波的宽频散射求解，进而研究了Rayleigh波入射下多排桩屏障体系的隔振效果。数值试验表明该方法能够大幅度降低常规IBEM计算所需的存储量和计算量。针对典型算例，讨论了单排桩净距、排桩桩长、场地波速、排桩排数及多排桩之间净距对Rayleigh波的屏障效应。结果分析表明：排桩排数是影响多排桩隔振效果的主要因素，而多排桩之间的排距对隔振效果影响较小；桩间净距和桩长是影响单排桩隔振效果的重要参数，桩距在0.1-0.3倍Rayleigh波波长，桩长大于1倍波长时即可取得较好的隔振效果；对于不同的场地，场地土越软，排桩隔振效果越好。对低频波隔振宜采用多排桩进行隔振。

Abstract

Here, based on the single-layer potential theory, the fast multi-pole indirect boundary element method (FMP-IBEM) was extended to solve broadband scattering of elastic wave by group of piles in an elastic half-space. Then, vibration isolation effect of multi-row piles barrier on incident Rayleigh wave was investigated. Numerical simulation showed that this method can greatly reduce storage amount and computational one of conventional IBEM calculation. A typical example was given to discuss barrier effects of single row piles’ spacing, pile length, site wave velocity, row number of multi-row piles and spacing between rows on Rayleigh wave. The results showed that the row number of multi-row piles is the main factor affecting vibration isolation effect of multi-row piles, while the spacing between rows of multi-row piles has smaller effect on their vibration isolation effect; the spacing between piles and pile length are important parameters affecting vibration isolation effect of single-row piles; if the pile spacing is 0.1-0.3 times of the wavelength of Rayleigh wave and the pile length is larger than one wavelength, good vibration isolation effect can be obtained; for different sites, the softer the site soil, the better the vibration isolation effect of row piles; multi-row piles barrier is suitable for vibration isolation of low-frequency wave.
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导出引用

刘中宪1,3，符瞻远1，苗雨2，王治坤1，李昌俊1. 非连续屏障对Rayleigh波宽频散射三维快速边界元模拟[J]. 振动与冲击, 2019, 38(19): 89-97

LIU Zhong-xian1,3, Fu Zhan-yuan1，Miao Yu2, Wang Zhi-kun1, Li Chang-jun1. 3-D simulation for broadband scattering of Rayleigh wave by discontinuous barrier based on FMP-IBEM[J]. Journal of Vibration and Shock, 2019, 38(19): 89-97

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