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重力壩非線性有限元深層抗滑穩(wěn)定分析中突變理論的應用研究

發(fā)布時間:2018-02-20 01:57

  本文關鍵詞: 重力壩 深層抗滑穩(wěn)定 非線性 突變理論 失穩(wěn)判據 出處:《太原理工大學》2014年碩士論文 論文類型:學位論文


【摘要】:通常情況下,壩基并不是完整的巖體,往往存在復雜的節(jié)理、裂隙以及斷層等地質結構,當這些結構面貫通形成滑動通道時,將會造成重大工程事故,給人民的生命財產以及國家建設造成重大損失。因此,對重力壩深層抗滑穩(wěn)定性的研究具有重要意義。 近年來,我國許多學者針對重力壩深層抗滑穩(wěn)定分析做了大量的研究。但重力壩壩基深層抗滑穩(wěn)定是一個復雜的問題,至今仍未形成統一規(guī)范以及客觀精準的理論評價方法,故需要進一步探討與分析重力壩深層抗滑穩(wěn)定問題。 本文將突變理論應用于重力壩深層抗滑穩(wěn)定分析中,利用ANSYS軟件,采用非線性有限元強度折減法進行研究。 本文的主要研究內容如下: 首先,利用ANSYS軟件,通過非線性有限元計算得到壩趾夾層處上下兩點的節(jié)點號以及水平方向相對位移值,然后基于尖點突變理論,確定壩址夾層處上下兩點的水平方向相對位移X與強度折減系數k的尖點突變模型勢函數,進而將該尖點突變模型勢函數轉化為尖點突變模型的標準勢函數,根據尖點突變理論得到重力壩失穩(wěn)判據的判別式,通過計算標準勢函數的極值點和拐點共軛條件集來判別重力壩是否失穩(wěn)。其次,在清峪水庫重力壩深層抗滑穩(wěn)定分析過程中,采用非線性有限元強度折減法,得到各典型點水平方向位移—強度折減系數關系曲線,當以典型點位移突變作為失穩(wěn)判據時,不同典型點所得到的安全系數并不唯一。然后,在進行清峪水庫重力壩非線性有限元深層抗滑穩(wěn)定分析時,根據計算結果,采用重力壩深層抗滑穩(wěn)定的相對位移尖點突變模型失穩(wěn)判據,此時得到的安全系數和采用常用的塑性區(qū)貫通失穩(wěn)判據進行判別所得的結果相同,最后,采用雙斜面法和三斜面法分別計算,將采用相對位移尖點突變模型失穩(wěn)判據所得的計算結果同雙斜面法和三斜面法的計算結果進行比較,計算結果相對誤差較小,證明了重力壩深層抗滑穩(wěn)定的相對位移尖點突變模型失穩(wěn)判據在工程中的正確性和適用性。 本文建立了壩趾夾層處的上下兩點的水平方向相對位移—強度折減系數尖點突變模型,并將其作為失穩(wěn)判據,可以體現重力壩失穩(wěn)過程的突變性,能夠將安全系數量化到一個客觀具體的數值,同時結果具有唯一性。通過建立模型的標準勢函數,并比較其判別式與零的大小關系來判斷重力壩是否失穩(wěn),概念清楚,界定明確。
[Abstract]:Usually, the dam foundation is not a complete rock mass, and there are complex geological structures such as joints, fractures and faults. It has great loss to people's life and property and national construction. Therefore, it is of great significance to study the deep anti-slide stability of gravity dam. In recent years, many scholars in China have done a lot of research on the analysis of the deep anti-slide stability of gravity dam, but the deep anti-slide stability of gravity dam foundation is a complex problem, which has not yet formed a unified standard and objective and accurate theoretical evaluation method. Therefore, it is necessary to further discuss and analyze the problem of deep anti-slip stability of gravity dam. In this paper, the catastrophe theory is applied to the analysis of the deep anti-slip stability of gravity dams. The nonlinear finite element strength reduction method is used to study the stability of gravity dams by using ANSYS software. The main contents of this paper are as follows:. Firstly, using ANSYS software, the node number and horizontal relative displacement of the upper and lower two points in the dam toe intercalation are calculated by nonlinear finite element method, and then based on the cusp catastrophe theory, The potential function of the cusp catastrophe model of the horizontal direction relative displacement X and the strength reduction coefficient k of the upper and lower two points at the dam site is determined, and the potential function of the cusp catastrophe model is transformed into the standard potential function of the cusp mutation model. According to the cusp catastrophe theory, the discriminant of gravity dam instability criterion is obtained, and the stability of gravity dam is judged by calculating the conjugate condition set of extreme point and inflection point of standard potential function. Secondly, in the process of deep anti-slide stability analysis of gravity dam in Qingyu reservoir, The nonlinear finite element strength reduction method is used to obtain the displacement-strength reduction coefficient curve of each typical point in horizontal direction. When the displacement abrupt change of typical point is used as the criterion of instability, the safety factor obtained from different typical points is not unique. In this paper, the nonlinear finite element analysis of deep anti-slip stability of gravity dam in Qingyu Reservoir is carried out. According to the calculation results, the instability criterion of relative displacement cusp catastrophe model of gravity dam deep anti-slide stability is adopted. The safety factor obtained at this time is the same as that obtained by using the commonly used plastic zone through instability criterion. Finally, the double inclined plane method and the three oblique plane method are used to calculate the safety factor. The calculated results obtained by using the instability criterion of the cusp catastrophe model of relative displacement are compared with those of the double inclined plane method and the three oblique plane method. The relative error of the calculated results is relatively small. It is proved that the instability criterion of the cusp model of relative displacement of gravity dam is correct and applicable in engineering. In this paper, the cusp catastrophe model of the relative displacement-strength reduction coefficient of the upper and lower two points of the dam toe intercalation is established and used as the criterion of instability, which can reflect the catastrophe of the instability process of gravity dam. The safety factor can be quantified to an objective and concrete value, and the result is unique. By establishing the standard potential function of the model and comparing the size relation between the discriminant and the zero, the concept is clear. Clearly defined.
【學位授予單位】:太原理工大學
【學位級別】:碩士
【學位授予年份】:2014
【分類號】:TV642.3;TV223

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