本文選題：橫觀各向同性 + 單相土��； 參考：《信陽師范學(xué)院》2017年碩士論文

【摘要】：基于考慮樁-土相互作用的連續(xù)介質(zhì)模型,在頻率域內(nèi)研究了管樁在單相橫觀各向同性土、飽和橫觀各向同性土的扭轉(zhuǎn)振動(dòng)問題,并在考慮部分土塞效應(yīng)的情況下,研究了單相橫觀各向同性土中部分外露管樁的扭轉(zhuǎn)振動(dòng),最后通過改變主要幾何參數(shù)、物理參數(shù),分析它們對(duì)樁頂復(fù)剛度的影響。主要工作如下:首先,將樁周土體和樁芯土體都視為單相橫觀各向同性土,考慮樁-土耦合扭轉(zhuǎn)振動(dòng),得到了土體的振動(dòng)方程和樁作扭轉(zhuǎn)振動(dòng)的方程,結(jié)合邊界條件和分離變量法,結(jié)合數(shù)學(xué)手段得到了土體作扭轉(zhuǎn)振動(dòng)的解,管樁扭轉(zhuǎn)振動(dòng)的解析解和樁頂復(fù)剛度的表達(dá)式。結(jié)合數(shù)值算例,改變主要的樁土參數(shù),觀察分析它們對(duì)樁頂扭轉(zhuǎn)復(fù)剛度的影響。結(jié)果表明:樁周土各向異性參數(shù)對(duì)樁頂復(fù)動(dòng)剛度影響顯著,剛度和阻尼的震蕩幅值隨其增大而顯著減小,樁芯土各向異性參數(shù)的影響規(guī)律與樁周土類似,但影響程度較樁周土小。其次,考慮部分土塞效應(yīng)和土的橫觀各向同性,研究了部分外露管樁的扭轉(zhuǎn)振動(dòng)。忽略除樁周單相土層和樁芯單相土層徑向位移的其他位移,最終求得了管樁樁頂?shù)呐まD(zhuǎn)復(fù)剛度。數(shù)值算例表明:樁周土各向異性參數(shù)對(duì)樁頂復(fù)動(dòng)剛度影響顯著,樁芯土各向異性參數(shù)的影響規(guī)律與樁周土類似,但影響程度較樁周土小;從整個(gè)頻率范圍來看,剛度和阻尼的震蕩幅值隨樁體剪切模量增大而增大。隨著內(nèi)外徑的不斷增大剛度和阻尼的震蕩幅值增大,高頻時(shí)剛度和阻尼的震蕩幅值都較大。由此可知,管樁內(nèi)壁不宜過薄,管樁樁芯埋入土體部分要保證一定的長度,特別是在高頻范圍內(nèi),才能保證實(shí)際工程的安全。最后,以Biot飽和土理論為基礎(chǔ),考慮樁周土和樁芯土的橫觀各向同性特性和軸對(duì)稱性,在柱坐標(biāo)下橫觀各向同性飽和土動(dòng)力平衡方程和流體平衡方程的基礎(chǔ)上,僅考慮樁周和樁芯橫觀各向同性飽和土徑向位移,得到了管樁樁頂扭轉(zhuǎn)復(fù)剛度的解析解。結(jié)合數(shù)值算例,通過改變主要的樁土參量,觀察它們對(duì)橫觀各向同性飽和土中管樁扭轉(zhuǎn)振動(dòng)的影響。結(jié)果表明:飽和橫觀各向同性土中管樁的扭轉(zhuǎn)振動(dòng)同樣存在有共振現(xiàn)象,樁周飽和土各向異性程度越大,樁頂復(fù)剛度越大;頻率較大時(shí),管樁越薄越容易發(fā)生失穩(wěn)破壞;管樁長徑比、內(nèi)外半徑比等幾何因素和土的各向異性程度、剪切模量等因素對(duì)橫觀各向同性飽和土中管樁扭轉(zhuǎn)振動(dòng)的影響較大。
[Abstract]:Based on the continuum model considering pile-soil interaction, the torsional vibration of pipe pile in single-phase transversely isotropic soil and saturated transversely isotropic soil is studied in frequency domain. The torsional vibration of some exposed pipe piles in single-phase transversely isotropic soil is studied. Finally, by changing the main geometric parameters and physical parameters, the influence of them on the complex stiffness of the pile top is analyzed. The main work is as follows: firstly, the soil around the pile and the soil around the pile are considered as the single-phase transversely isotropic soil. Considering the pile-soil coupling torsional vibration, the vibration equation of the soil and the equation of the torsional vibration of the pile are obtained. Combined with boundary conditions and the method of separating variables, the solution of torsional vibration of soil, the analytical solution of torsional vibration of pipe pile and the expression of complex stiffness of pile top are obtained by mathematical means. Combined with numerical examples, the main parameters of pile and soil are changed, and their effects on the torsional stiffness of pile top are observed and analyzed. The results show that the anisotropic parameters of the soil around the pile have a significant effect on the composite stiffness of the pile top, and the oscillation amplitude of the stiffness and damping decreases with the increase of the anisotropy of the pile, and the influence law of the anisotropic parameters of the pile core soil is similar to that of the soil around the pile. But the influence degree is smaller than the soil around the pile. Secondly, considering partial soil plug effect and transversely isotropy of soil, the torsional vibration of partially exposed pipe pile is studied. Other displacements of radial displacement of the single phase soil layer around the pile and the single phase soil layer of the pile core are ignored and the torsional complex stiffness of the top of the pipe pile is finally obtained. Numerical examples show that the anisotropic parameters of soil around the pile have a significant effect on the composite stiffness of the pile top, and the influence law of the anisotropic parameters of the core soil is similar to that of the soil around the pile, but the influence degree is smaller than that of the soil around the pile. The vibration amplitude of stiffness and damping increases with the increase of shear modulus. With the increasing of internal and external diameters, the oscillation amplitude of stiffness and damping increases, and the oscillation amplitude of stiffness and damping increases at high frequency. It can be seen that the inner wall of pipe pile should not be too thin, and the safety of practical engineering should be ensured only when the core of pipe pile is embedded in soil, especially in the range of high frequency. Finally, on the basis of Biot saturated soil theory, considering the transversely isotropic properties and axisymmetric properties of surrounding soil and pile-core soil, the dynamic equilibrium equation and fluid equilibrium equation of transversely isotropic saturated soil in cylindrical coordinates are discussed. Considering only the radial displacement of the transversely isotropic saturated soil around the pile and the core, the analytical solution of the torsional complex stiffness of the top of the pipe pile is obtained. By changing the main pile-soil parameters, the effects of the parameters on the torsional vibration of pipe piles in transversely isotropic saturated soil are observed by numerical examples. The results show that there is resonance in the torsional vibration of pipe pile in saturated transversely isotropic soil. The larger the anisotropy of saturated soil around the pile is, the greater the complex stiffness of the pile top is, and the thinner the pipe pile is, the more vulnerable it is to the failure of the pile. Geometric factors such as ratio of length to diameter, ratio of internal and external radius, anisotropy of soil and shear modulus have great influence on torsional vibration of pipe pile in transversely isotropic saturated soil.
【學(xué)位授予單位】：信陽師范學(xué)院
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TU473.1

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