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徑向非均質(zhì)粘彈性單相土中管樁縱向振動(dòng)特性分析

發(fā)布時(shí)間:2018-04-03 12:47

  本文選題:管樁-土耦合縱向振動(dòng) 切入點(diǎn):徑向非均質(zhì)土 出處:《大連海事大學(xué)》2017年碩士論文


【摘要】:本文研究了在徑向、雙向非均質(zhì)土中,管樁樁頂受縱向激振力的動(dòng)力響應(yīng)問(wèn)題。首先,根據(jù)樁周圍土體、管樁的本構(gòu)關(guān)系,建立非均質(zhì)土的平面波動(dòng)方程及一維粘彈性管樁的波動(dòng)方程,由管樁-土接觸面的連續(xù)及相應(yīng)的邊界條件,得到方程解的待定系數(shù),求得管樁樁頂?shù)淖杩购瘮?shù)的解析解,在此基礎(chǔ)上,系統(tǒng)深入的研究了彈性樁與非均質(zhì)土在縱向振動(dòng)力作用下的動(dòng)力耦合振動(dòng)問(wèn)題。主要工作如下:(1)基于波動(dòng)方程的基本理論,根據(jù)定解問(wèn)題確定管樁的一維波動(dòng)方程及土體平面應(yīng)變的波動(dòng)方程。在此基礎(chǔ)上研究實(shí)心樁、管樁在粘彈性單相土中的縱向振動(dòng)問(wèn)題,用Mathematic編程,然后根據(jù)參數(shù)的變化,得到樁頂復(fù)剛度曲線,最后根據(jù)已有實(shí)心樁文獻(xiàn)對(duì)比分析,得到管樁的一些相關(guān)結(jié)論。(2)考慮到地基土在施工過(guò)程中受到動(dòng)荷載擾動(dòng),使得樁周土和樁芯土性質(zhì)沿徑向呈非均質(zhì)性,將土體沿徑向分為內(nèi)、外部區(qū)域,內(nèi)部擾動(dòng)區(qū)域劃分為多圈層,各圈層之間連續(xù)接觸,建立徑向非均質(zhì)土體的平面應(yīng)變模型,根據(jù)土體動(dòng)力方程和阻抗函數(shù)的傳遞性,用解析法求得樁周土、管樁接觸面上的剪切復(fù)剛度,即得到樁周土對(duì)管樁的作用表達(dá)式,用Mathematic編程,得到樁頂復(fù)剛度和速度導(dǎo)納曲線,基于土體參數(shù)的變化,對(duì)徑向非均質(zhì)土體管樁-土縱向耦合振動(dòng)進(jìn)行研究。(3)同時(shí)考慮樁周土縱向、徑向非均質(zhì)性,建立在徑向非均質(zhì)土平面應(yīng)變模型基礎(chǔ)上考慮縱向成層土中的管樁縱向振動(dòng)問(wèn)題,求得管樁樁頂動(dòng)力阻抗函數(shù)解析解。通過(guò)對(duì)土體參數(shù)研究,對(duì)雙向非均質(zhì)土中管樁樁頂動(dòng)力響應(yīng)特性進(jìn)行研究。
[Abstract]:In this paper, the dynamic response of pipe pile top subjected to longitudinal excitation in radial and bidirectional heterogeneous soil is studied.Firstly, according to the constitutive relation of soil around pile and pipe pile, the plane wave equation of heterogeneous soil and the wave equation of one-dimensional viscoelastic pipe pile are established. The undetermined coefficient of the equation solution is obtained from the continuity of the interface between pipe pile and soil and the corresponding boundary conditions.The analytical solution of impedance function on the top of pipe pile is obtained. On this basis, the dynamic coupling vibration of elastic pile and heterogeneous soil under the action of longitudinal vibration force is studied systematically and deeply.The main work is as follows: (1) based on the basic theory of wave equation, the one-dimensional wave equation of pipe pile and the wave equation of soil plane strain are determined according to the definite solution problem.On this basis, the longitudinal vibration of solid pile and pipe pile in viscoelastic single-phase soil is studied. Mathematic is used to program, and then according to the change of parameters, the complex stiffness curve of pile top is obtained. Finally, according to the literature of solid pile, a comparative analysis is made.Some relevant conclusions of pipe pile are obtained. (2) considering that the foundation soil is disturbed by dynamic load during construction, the properties of soil around pile and pile core soil are heterogeneity along radial direction, and the soil is divided into inner and outer region along radial direction.The region of internal disturbance is divided into multiple circles, and the contact between each layer is continuous. The plane strain model of radial heterogeneous soil is established. According to the dynamic equation of soil and the transitivity of impedance function, the soil around pile is obtained by analytical method.The shearing complex stiffness on the contact surface of pipe pile is obtained, that is, the action expression of soil around the pile on the pipe pile is obtained, and the complex stiffness and velocity admittance curve of the pile top are obtained by Mathematic programming, based on the change of soil parameters.The longitudinal vibration of pipe pile and soil in radial heterogeneous soil is studied. (3) considering the longitudinal and radial heterogeneity of soil around the pile, the longitudinal vibration of pipe pile in longitudinal layered soil is considered on the basis of plane strain model of radial heterogeneous soil.The analytical solution of the dynamic impedance function on the top of pipe pile is obtained.Through the study of soil parameters, the dynamic response characteristics of pipe pile top in bidirectional heterogeneous soil are studied.
【學(xué)位授予單位】:大連海事大學(xué)
【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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