本文選題：周期性排樁　切入點：周期分形排樁　出處：《北京交通大學(xué)》2014年博士論文　論文類型：學(xué)位論文

【摘要】：摘要：本文從固體物理學(xué)的周期性理論出發(fā),研究了土木工程中的周期性排樁(如周期性實心／空心排樁、周期性填充排樁和周期性分形排樁)和周期性波屏障結(jié)構(gòu)。周期結(jié)構(gòu)具有獨特的衰減域禁波特性,當(dāng)彈性波的頻率落在衰減域內(nèi)時,彈性波不能在周期介質(zhì)中傳播。另外,即使彈性波的頻率在衰減域外,經(jīng)過特殊設(shè)計的周期結(jié)構(gòu)對彈性波的傳播具有方向特性,即波的能量只能沿著某些方向傳遞,而在其他方向產(chǎn)生振動盲區(qū)。利用衰減域的禁波特性和波動傳播的方向特性,就可以設(shè)計出具有減振、隔振功能的周期結(jié)構(gòu)。這些周期結(jié)構(gòu)可以應(yīng)用到土木工程中的環(huán)境減振以及地震動的隔離當(dāng)中。本文的研究目的是通過對這類周期結(jié)構(gòu)的系統(tǒng)研究,為土木工程減振(震)方法提出新思路。本文通過理論研究、數(shù)值模擬以及對比其他研究者的試驗結(jié)果的研究方法,首先利用級數(shù)展開技術(shù)和有限元法,求解了不同形式周期結(jié)構(gòu)的頻散曲線。然后,利用有限元技術(shù),建立合理的分析模型和邊界條件,進(jìn)而分析了各種二維、三維周期結(jié)構(gòu)的散射波場。通過和其他作者的實驗結(jié)果對比,說明了理論結(jié)果的正確性和衰減域的存在性。本文的創(chuàng)新性成果主要有： (1)提出利用固體物理學(xué)中的周期性理論分析排樁的樁-土相互作用,用衰減域的概念解釋周期性排樁對彈性波的頻散特性；提出利用周期性排樁的衰減域特性實現(xiàn)對環(huán)境振動的衰減。 (2)獲得了周期實心排樁和周期空心排樁的衰減域,并對衰減域的影響因素進(jìn)行了系統(tǒng)研究；揭示了土的彈性模量、樁的半徑和周期常數(shù)對周期性排樁衰減域的重要影響,得出常見尺寸的排樁易于隔離中頻振動的結(jié)論。 (3)研究了周期填充排樁的面內(nèi)和面外衰減域,并對衰減域的影響因素進(jìn)行了分析；利用局域共振機(jī)理和布拉格散射機(jī)理對周期填充排樁衰減域的合理性進(jìn)行了解釋,將局域共振型周期填充排樁拓展用于低頻減振。 (4)對周期分形排樁的衰減域和方向傳播特性,進(jìn)行了理論研究和數(shù)值模擬,揭示了代數(shù)和填充率對周期分形排樁衰減域的影響規(guī)律。 (5)設(shè)計了具備三維隔振(震)能力的周期性波屏障,為環(huán)境減振以及地震動隔離提出新思路。 通過本文研究,不僅可以深入了解周期結(jié)構(gòu)對彈性波的散射機(jī)制和減振效果,而且對揭示周期性排樁的樁-土相互作用機(jī)理、彈性波在樁-土之間的能量轉(zhuǎn)換和耗散機(jī)理、建立周期性排樁在人工振動下的理論分析模型與設(shè)計方法、以及新型波屏障的設(shè)計,均具有非常重要的指導(dǎo)意義。
[Abstract]:Abstract: This article from the periodicity theory of solid state physics, studies the periodicity in civil engineering piles (such as periodic solid / hollow piles, with periodic pile rows and periodic fractal piles) and periodic wave barrier structure. Periodic structure has no unique characteristics of the wave attenuation domain, when the elastic the wave frequency is in the attenuation domain, elastic wave cannot propagate in the periodic medium. In addition, even if the elastic wave attenuation in frequency domain, after the spread of periodic structure with special design of elastic wave with directional features, namely wave energy transfer only along some direction, vibration in the other direction. The blind the direction of attenuation domain can wave characteristics and wave propagation, can be designed with vibration isolation function, periodic structure. These periodic structure can be applied to the environmental vibration in civil engineering and seismic isolation From them. The purpose of this study is through systematic research on this type of periodic structure, for the civil engineering vibration (vibration) method and puts forward a new idea. This paper through theoretical research, research methods of numerical simulation and other research results of the comparison, using series expansion technique and the finite element method, solving the different forms of cycle the structure of the dispersion curve. Then, by using the finite element method, establish the analysis model and reasonable boundary conditions, and then analyzes the various two-dimensional scattering of three-dimensional periodic structure. The experimental results of the author and other than that, the correctness of the theoretical results and the attenuation domain. The existence of innovations of this paper the main:
(1) the theory of periodicity in solid physics is proposed to analyze pile soil interaction. The concept of attenuation domain is used to explain the dispersion characteristics of periodic piles on elastic waves, and the attenuation characteristic of periodic piles is applied to achieve the attenuation of environmental vibration.
(2) the attenuation domain pile and periodic cycle hollow piles, and the factors influencing the attenuation domain were studied; the elastic modulus of soil is disclosed, the radius and the periodic constant pile effect on periodic pile pile attenuation domain, easy to draw a conclusion that common intermediate frequency vibration isolation size.
(3) the period of filling pile of the in-plane and out of plane attenuation domain, and the influence factors of attenuation domain were analyzed for the period of filling pile; the rationality of attenuation domain are explained by the local resonance mechanism and Prague scattering mechanism, the locally resonant period of filling pile is extended to low-frequency vibration.
(4) the attenuation and directional propagation characteristics of periodic fractal row piles are theoretically studied and numerically simulated, revealing the influence of algebra and filling rate on the attenuation region of periodic fractal piles.
(5) a periodic wave barrier with three dimensional vibration isolation (earthquake) ability is designed to provide a new idea for environmental vibration reduction and isolation of ground motion.
Through this research, not only can understand the periodic structure of the elastic wave scattering mechanism and damping effect, but also to reveal the periodic pile soil pile interaction mechanism, the energy conversion of elastic wave in between pile and soil and dissipation mechanism, establish a periodic row of piles in artificial vibration under the theoretical analysis and model the design method, and design a new type of wave barrier, have very important significance.

【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2014
【分類號】：TU352.1

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本文編號：1610820