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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(yīng)用研究

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  本文關(guān)鍵詞: 重力壩 深層抗滑穩(wěn)定 非線性 突變理論 失穩(wěn)判據(jù) 出處:《太原理工大學(xué)》2014年碩士論文 論文類(lèi)型:學(xué)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(fù)雜的節(jié)理、裂隙以及斷層等地質(zhì)結(jié)構(gòu),當(dāng)這些結(jié)構(gòu)面貫通形成滑動(dòng)通道時(shí),將會(huì)造成重大工程事故,給人民的生命財(cái)產(chǎn)以及國(guó)家建設(shè)造成重大損失。因此,對(duì)重力壩深層抗滑穩(wěn)定性的研究具有重要意義。 近年來(lái),我國(guó)許多學(xué)者針對(duì)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(gè)復(fù)雜的問(wèn)題,至今仍未形成統(tǒng)一規(guī)范以及客觀精準(zhǔn)的理論評(píng)價(jià)方法,故需要進(jìn)一步探討與分析重力壩深層抗滑穩(wěn)定問(wèn)題。 本文將突變理論應(yīng)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(qiáng)度折減法進(jìn)行研究。 本文的主要研究?jī)?nèi)容如下: 首先,利用ANSYS軟件,通過(guò)非線性有限元計(jì)算得到壩趾夾層處上下兩點(diǎn)的節(jié)點(diǎn)號(hào)以及水平方向相對(duì)位移值,然后基于尖點(diǎn)突變理論,確定壩址夾層處上下兩點(diǎn)的水平方向相對(duì)位移X與強(qiáng)度折減系數(shù)k的尖點(diǎn)突變模型勢(shì)函數(shù),進(jìn)而將該尖點(diǎn)突變模型勢(shì)函數(shù)轉(zhuǎn)化為尖點(diǎn)突變模型的標(biāo)準(zhǔn)勢(shì)函數(shù),根據(jù)尖點(diǎn)突變理論得到重力壩失穩(wěn)判據(jù)的判別式,通過(guò)計(jì)算標(biāo)準(zhǔn)勢(shì)函數(shù)的極值點(diǎn)和拐點(diǎn)共軛條件集來(lái)判別重力壩是否失穩(wěn)。其次,在清峪水庫(kù)重力壩深層抗滑穩(wěn)定分析過(guò)程中,采用非線性有限元強(qiáng)度折減法,得到各典型點(diǎn)水平方向位移—強(qiáng)度折減系數(shù)關(guān)系曲線,當(dāng)以典型點(diǎn)位移突變作為失穩(wěn)判據(jù)時(shí),不同典型點(diǎn)所得到的安全系數(shù)并不唯一。然后,在進(jìn)行清峪水庫(kù)重力壩非線性有限元深層抗滑穩(wěn)定分析時(shí),根據(jù)計(jì)算結(jié)果,采用重力壩深層抗滑穩(wěn)定的相對(duì)位移尖點(diǎn)突變模型失穩(wěn)判據(jù),此時(shí)得到的安全系數(shù)和采用常用的塑性區(qū)貫通失穩(wěn)判據(jù)進(jìn)行判別所得的結(jié)果相同,最后,采用雙斜面法和三斜面法分別計(jì)算,將采用相對(duì)位移尖點(diǎn)突變模型失穩(wěn)判據(jù)所得的計(jì)算結(jié)果同雙斜面法和三斜面法的計(jì)算結(jié)果進(jìn)行比較,計(jì)算結(jié)果相對(duì)誤差較小,證明了重力壩深層抗滑穩(wěn)定的相對(duì)位移尖點(diǎn)突變模型失穩(wěn)判據(jù)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(diǎn)的水平方向相對(duì)位移—強(qiáng)度折減系數(shù)尖點(diǎn)突變模型,并將其作為失穩(wěn)判據(jù),可以體現(xiàn)重力壩失穩(wěn)過(guò)程的突變性,能夠?qū)踩禂?shù)量化到一個(gè)客觀具體的數(shù)值,同時(shí)結(jié)果具有唯一性。通過(guò)建立模型的標(biāo)準(zhǔn)勢(shì)函數(shù),并比較其判別式與零的大小關(guān)系來(lái)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(xué)位授予單位】:太原理工大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2014
【分類(lèi)號(hào)】:TV642.3;TV223

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