本文選題：平面波　切入點(diǎn)：間接邊界積分方程法(IBIEM)　出處：《巖土力學(xué)》2016年04期

【摘要】：采用一種高精度的間接邊界積分方程法(IBIEM),對(duì)二維非連續(xù)群樁屏障對(duì)平面P、SV波的隔振效果進(jìn)行寬頻帶計(jì)算分析。該方法基于單層位勢(shì)理論,通過(guò)在非連續(xù)屏障交界面附近引入虛擬波源,分別用以構(gòu)造散射體內(nèi)、外散射場(chǎng),繼而由邊界條件建立方程并求解得到虛擬波源密度,外部的總波場(chǎng)可由散射場(chǎng)和自由場(chǎng)疊加而得到。精度檢驗(yàn)表明,該方法能夠精確高效地求解任意排樁的寬頻隔振問(wèn)題。進(jìn)而以圓柱實(shí)心樁為例,通過(guò)定量化頻譜分析,揭示了P、SV波入射時(shí)排樁對(duì)不同頻段彈性波的隔振差別,探討了不同波速比、樁間距、樁排數(shù)對(duì)隔振效果的影響規(guī)律,研究結(jié)果表明:(1)隔振效果存在最優(yōu)無(wú)量綱頻段,宜優(yōu)化設(shè)計(jì)樁徑和樁間距以達(dá)到最佳效果;(2)場(chǎng)地土愈軟,隔振效果愈佳。相比P波,SV波對(duì)于樁間距更為敏感;(3)低頻波宜采用多排樁,但對(duì)高頻波,采用三排以上的樁屏障對(duì)隔振效果的提升則不再顯著。
[Abstract]:A high precision indirect boundary integral equation method is used to calculate and analyze the vibration isolation effect of two-dimensional discontinuous pile group barrier on planar Phane SV wave.Based on the theory of single layer potential, the virtual wave source is introduced near the interface of discontinuous barrier to construct the scattering field inside and outside, then the equation is established by the boundary condition and the density of the virtual wave source is obtained.The external total wave field can be obtained by the superposition of the scattering field and the free field.The accuracy test shows that the method can accurately and efficiently solve the wide-band vibration isolation problem of arbitrary piles.Then, taking solid cylindrical pile as an example, through quantitative spectrum analysis, the difference of vibration isolation between pile row and elastic wave in different frequency bands is revealed, and the influence law of different wave velocity ratio, pile spacing and pile row number on vibration isolation effect is discussed.The results show that there is an optimal dimensionless frequency band in the vibration isolation effect of 1: 1) and the optimum design of pile diameter and spacing is appropriate to achieve the optimum effect. The softer the soil is, the better the vibration isolation effect is.Compared with P wave, SV wave is more sensitive to pile spacing. Low frequency wave is more suitable for multi-row pile, but for high frequency wave, the improvement of vibration isolation effect by adopting more than three rows of pile barrier is not significant.
【作者單位】： 天津城建大學(xué)土木工程學(xué)院;天津城建大學(xué)天津市土木建筑結(jié)構(gòu)防護(hù)與加固重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(No.51278327) 天津市應(yīng)用基礎(chǔ)研究與前沿研究計(jì)劃項(xiàng)目(No.14JCYBJC21900) 濱海土木工程結(jié)構(gòu)與安全教育部重點(diǎn)實(shí)驗(yàn)室項(xiàng)目(No.2014-01)~~
【分類號(hào)】：TU473.1

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