本文選題：數(shù)值流形法　切入點：土石壩工程　出處：《大連理工大學(xué)》2014年博士論文　論文類型：學(xué)位論文

【摘要】：近年來大型高土石壩的建設(shè),特別是在強地震區(qū)建設(shè)高土石壩日益增多,因而對土石壩采用更加精確合理的計算方法不但能夠發(fā)現(xiàn)已建工程中存在的安全隱患,還能給將要建設(shè)的大壩提供更精確的設(shè)計依據(jù),使大壩的建設(shè)更加合理,安全。數(shù)值流形法是一種基于流形分析和有限覆蓋技術(shù)新發(fā)展起來的數(shù)值方法,計算精度高,且能夠統(tǒng)一解決了連續(xù)介質(zhì)力學(xué)問題、非連續(xù)介質(zhì)力學(xué)問題以及塊體運動學(xué)問題。而在土石壩工程計算中常常涉及到非連續(xù)位移計算和塊體運動模擬等問題,因此采用數(shù)值流形法對土石壩工程進(jìn)行更加合理的模擬是合適的。 本文圍繞數(shù)值流形法在土石壩工程中的應(yīng)用,針對土石壩工程中的靜力分析、邊坡穩(wěn)定分析、坍塌過程模擬、永久位移計算、防滲墻受力分析等問題,對數(shù)值流形法本身及計算程序進(jìn)行了相應(yīng)的改進(jìn)和研制,使得數(shù)值流形法能夠應(yīng)用于土石壩工程的計算中。論文的主要內(nèi)容如下： 1.對數(shù)值流形法的理論進(jìn)行了介紹,探討了數(shù)值流形法的計算穩(wěn)定性。并針對計算材料非線性問題對數(shù)值流形法進(jìn)行了改進(jìn),在數(shù)值流形法中加入了E-B模型和內(nèi)蘊時間模型,給出了相關(guān)的計算流程,并對內(nèi)時理論的硬化函數(shù)進(jìn)行了研究。使得數(shù)值流形法在能夠同時解決幾何非線性和材料非線性問題。 2.將帶E-B模型的數(shù)值流形法引入土石壩非線性靜力分層加載計算中,并研制了相關(guān)的計算程序。將計算結(jié)果與傳統(tǒng)的有限元計算結(jié)果進(jìn)行了對比。利用內(nèi)時數(shù)值流形法,將防滲墻與壩體之間考慮成分離的介質(zhì),對防滲墻進(jìn)行了靜力分析,地震動力響應(yīng)分析,并分析了地震作用后壩頂出現(xiàn)裂縫的原因。采用內(nèi)時數(shù)值流形法對土石壩進(jìn)行了三維靜力分析和地震永久變形分析,給出了三維地震永久變形分布圖。 3.基于數(shù)值流形法的計算特點,提出了將數(shù)值流形法單元進(jìn)行分離的方式來實現(xiàn)土體破壞的模擬,并給出了模擬土體破壞的計算流程。彌補了有限元法模擬剪切試驗難以產(chǎn)生非連續(xù)位移的缺陷。對土的直剪試驗,給出了相關(guān)的計算結(jié)果。結(jié)合增加重力法,將此方法應(yīng)用于土石壩的邊坡穩(wěn)定分析和滑坡過程的模擬。討論了該方法中塊體邊界的粘聚力和摩擦角對邊坡安全系數(shù)的影響以及最終坍塌形態(tài)的影響。 基于以上研究,對數(shù)值流形法進(jìn)行了改進(jìn),構(gòu)建了完整的基于數(shù)值流形法的土石壩靜力、動力、邊坡穩(wěn)定分析的理論、數(shù)值方法和計算程序,為土石壩的穩(wěn)定分析提供了新的分析途徑和方法。
[Abstract]:In recent years, the construction of large high earth and rock dams, especially in strong earthquake areas, is increasing day by day. Therefore, using more accurate and reasonable calculation methods for earth and rock dams can not only find out the hidden safety problems existing in the existing projects. The numerical manifold method is a new numerical method based on manifold analysis and finite coverage technology. Moreover, the problems of continuum mechanics, discontinuous media mechanics and block kinematics can be solved in a unified way. However, discontinuous displacement calculation and block motion simulation are often involved in the calculation of earth and rock dams. Therefore, numerical manifold method is suitable for more reasonable simulation of earth-rock dam engineering. This paper focuses on the application of numerical manifold method in earth-rock dam engineering, aiming at static analysis, slope stability analysis, collapse process simulation, permanent displacement calculation, force analysis of impervious wall, etc. The numerical manifold method itself and its calculation program have been improved and developed accordingly, so that the numerical manifold method can be applied to the calculation of earth-rockfill dam engineering. The main contents of this paper are as follows:. 1. The theory of numerical manifold method is introduced, the computational stability of numerical manifold method is discussed, and the numerical manifold method is improved to solve the problem of material nonlinearity. The E-B model and intrinsic time model are added to the numerical manifold method. The related calculation flow is given and the hardening function of the internal time theory is studied so that the numerical manifold method can solve the geometric nonlinearity and material nonlinearity at the same time. 2. The numerical manifold method with E-B model is introduced into the calculation of nonlinear static stratified loading of earth-rock dam, and the related calculation program is developed. The results are compared with the traditional finite element method, and the internal time numerical manifold method is used. Considering the separation medium between the impervious wall and the dam body, the static analysis and the seismic dynamic response analysis of the impervious wall are carried out. The causes of cracks at the top of the dam after earthquake action are analyzed. The 3-D static analysis and seismic permanent deformation analysis of earth-rock dam are carried out by using the internal time numerical manifold method, and the distribution map of three-dimensional seismic permanent deformation is given. 3. Based on the computational characteristics of numerical manifold method, a method of separating numerical manifold method elements is proposed to simulate soil failure. The calculation flow of simulating soil failure is given, which makes up for the defect that it is difficult to produce discontinuous displacement in the finite element method. For the direct shear test of soil, the relevant calculation results are given, and the method of increasing gravity is combined with the method of increasing gravity. This method is applied to the slope stability analysis and landslide process simulation of earth-rock dams. The influence of the cohesive force and friction angle of the block boundary on the slope safety factor and the final collapse shape in this method is discussed. Based on the above research, the numerical manifold method is improved, and a complete theory, numerical method and calculation program for static, dynamic and slope stability analysis of earth-rock dam based on numerical manifold method are constructed. It provides a new way and method for stability analysis of earth-rock dam.
【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2014
【分類號】：TV641

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 彭麗云;李濤;劉建坤;;循環(huán)荷載作用下非飽和擊實粉土變形特性的試驗研究[J];北京工業(yè)大學(xué)學(xué)報;2010年11期

2 許建聰;尚岳全;孫紅月;;大變形彈塑性有限元與極限平衡法滑坡耦合分析[J];成都理工大學(xué)學(xué)報(自然科學(xué)版);2009年05期

3 介玉新,高波,李廣信,周小文;無單元法在堤壩防滲墻應(yīng)力分析中的應(yīng)用[J];長江科學(xué)院院報;2003年02期

4 林紹忠;明崢嶸;祁勇峰;;用數(shù)值流形法分析溫度場及溫度應(yīng)力[J];長江科學(xué)院院報;2007年05期

5 沈?qū)毺?王泳嘉;邊坡破壞機制的離散元法研究[J];東北工學(xué)院學(xué)報;1989年04期

6 邵龍?zhí)叮�，韓國城;堆石壩邊坡穩(wěn)定分析的一種方法[J];大連理工大學(xué)學(xué)報;1994年03期

7 李俊杰,邵龍?zhí)?邵宇;面板堆石壩地震永久變形計算方法研究[J];大連理工大學(xué)學(xué)報;1998年05期

8 張國新,金峰,王光綸;用基于流形元的子域奇異邊界元法模擬重力壩的地震破壞[J];工程力學(xué);2001年04期

9 周瑞忠,周小平,吳琛;數(shù)值方法進(jìn)展:從連續(xù)介質(zhì)到離散粒子模型[J];工程力學(xué);2005年S1期

10 楊明成;康亞明;;容重增加法在邊坡穩(wěn)定性分析中的應(yīng)用[J];哈爾濱工業(yè)大學(xué)學(xué)報;2009年06期

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