本文選題：三維軸對(duì)稱(chēng) + 縱向振動(dòng)��； 參考：《大連海事大學(xué)》2017年碩士論文

【摘要】：本文分析了徑向非均質(zhì)土中縱向振動(dòng)荷載作用下樁的動(dòng)力響應(yīng)問(wèn)題�；谕馏w與樁的本構(gòu)關(guān)系,文中采用三維軸對(duì)稱(chēng)土模型,較系統(tǒng)的考慮了樁周土豎向波動(dòng)效應(yīng),建立徑向非均質(zhì)土體的三維波動(dòng)方程和一維粘彈性樁的波動(dòng)方程,再引入樁-土邊界條件和接觸條件,用解析法求解了粘彈性實(shí)體樁和管樁在縱向任意激振力作用下的耦合振動(dòng)問(wèn)題,主要研究工作包括:1.在考慮土體徑向非均質(zhì)性情況下,利用三維軸對(duì)稱(chēng)土體模型,采用分離變量法和超越方程求根法求得實(shí)體樁與土體接觸界面的復(fù)剛度,進(jìn)而推導(dǎo)得到單樁樁頂受任意縱向激振力作用下的樁振動(dòng)方程的頻域表達(dá)式,再利用卷積公式和拉普拉斯逆變換得到半正弦脈沖激勵(lì)作用下樁頂速度時(shí)域響應(yīng)半解析解。基于所得解對(duì)樁土耦合振動(dòng)的機(jī)理以及土體動(dòng)力反應(yīng)特性進(jìn)行研究,重點(diǎn)研究了土體的徑向非均質(zhì)性對(duì)樁-土動(dòng)力特性的影響。研究表明,土體的徑向非均質(zhì)性對(duì)樁-土動(dòng)力特性有著明顯的影響,考慮土體徑向非均質(zhì)性十分必要。2.在軸對(duì)稱(chēng)條件下利用三維連續(xù)介質(zhì)理論研究徑向非均質(zhì)土中管樁-土的縱向耦合振動(dòng)問(wèn)題。對(duì)樁周土任意圈層的平衡方程由外而內(nèi)逐層求解,求得樁周土與樁接觸界面所在圈層的位移表達(dá)式,再根據(jù)樁芯土動(dòng)力平衡方程和邊界條件求得樁芯土的位移表達(dá)式,進(jìn)而利用管樁-土接觸界面完全耦合條件求解樁動(dòng)力平衡方程,得到樁頂?shù)念l域響應(yīng)解析解和時(shí)域響應(yīng)半解析解,并采用MATLAB軟件編程,得到樁頂復(fù)剛度、樁頂速度導(dǎo)納曲線、樁底反射波曲線,再通過(guò)變化土體、管樁特性參數(shù),分析管樁內(nèi)外半徑比、長(zhǎng)徑比、土質(zhì)擾動(dòng)程度、擾動(dòng)范圍、圈層數(shù)變化等參數(shù)對(duì)管樁縱向振動(dòng)特性的影響。本文給出的樁-土縱向耦合振動(dòng)理論使樁基振動(dòng)理論更為完善,也為樁基抗震,防震設(shè)計(jì)及樁基動(dòng)態(tài)檢測(cè)技術(shù)提供了更多理論支持。
[Abstract]:In this paper, the dynamic response of pile under longitudinal vibration load in radial heterogeneous soil is analyzed. Based on the constitutive relation between soil and pile, the three-dimensional axisymmetric soil model is used to systematically consider the vertical wave effect of soil around the pile, and the three-dimensional wave equation of radial heterogeneous soil and the wave equation of one-dimensional viscoelastic pile are established. By introducing pile-soil boundary condition and contact condition, the coupled vibration problem of viscoelastic solid pile and pipe pile under the action of longitudinal arbitrary excitation force is solved by analytical method. The main research work includes: 1. Considering the radial heterogeneity of soil mass, the complex stiffness of contact interface between solid pile and soil is obtained by using three-dimensional axisymmetric soil model, the method of separating variables and the method of root finding by transcendental equation. Furthermore, the frequency domain expression of the pile vibration equation under arbitrary longitudinal excitation on the top of a single pile is derived, and the semi-analytical solution of the velocity response in time domain is obtained by using convolution formula and Laplace inverse transformation. Based on the results, the mechanism of pile-soil coupling vibration and soil dynamic response were studied, and the influence of soil radial heterogeneity on pile-soil dynamic characteristics was studied. The results show that the radial heterogeneity of soil has obvious influence on the dynamic characteristics of pile-soil, and it is necessary to consider the radial heterogeneity of soil. The longitudinal coupling vibration of pipe pile-soil in radial heterogeneous soil is studied by using three-dimensional continuum theory under the condition of axisymmetric. In this paper, the equilibrium equation of any circular layer around the pile is solved layer by layer from outside to inside, and the displacement expression of the contact layer between the pile and the pile is obtained, and the displacement expression of the pile core soil is obtained according to the dynamic equilibrium equation of the pile core soil and the boundary condition. Then the dynamic equilibrium equation of the pile is solved by using the complete coupling condition between the pipe pile and the soil contact interface, and the analytic solution of the frequency domain response and the semi-analytical solution of the time domain response of the pile top are obtained, and the complex stiffness of the pile top and the velocity admittance curve of the pile top are obtained by using MATLAB software. By changing the soil mass and the characteristic parameters of the pipe pile, the influence of the parameters such as the ratio of the inside and outside radius of the pipe pile, the ratio of length to diameter, the degree of soil disturbance, the range of disturbance and the number of circles on the longitudinal vibration characteristics of the pile is analyzed. The pile-soil longitudinal coupling vibration theory presented in this paper makes the pile foundation vibration theory more perfect, and provides more theoretical support for the pile foundation seismic resistance, anti-seismic design and pile foundation dynamic detection technology.
【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(lèi)號(hào)】：TU473.1

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