本文選題：黑色巖層 + 突變理論��； 參考：《西南科技大學(xué)》2015年碩士論文

【摘要】：由兩種基本不同的變化現(xiàn)象,引入了突變理論,梳理了突變理論的發(fā)展歷程、基本形式及其特征,分析了控制平面內(nèi)被分叉集所分的不同區(qū)域?qū)?yīng)的系統(tǒng)的穩(wěn)定性。根據(jù)前人的相關(guān)研究成果,總結(jié)了基于尖點(diǎn)突變理論解決邊坡穩(wěn)定性等工程問(wèn)題的一般步驟。本文通過(guò)分析黑色巖層X(jué)RD實(shí)驗(yàn)衍射圖譜表明:黑色巖層的主要成分是石英、白云母、伊利石、綠泥石以及少量的黃鐵礦等。黃鐵礦易被氧化,產(chǎn)生的酸性水會(huì)引起礦物成分的化學(xué)蝕變,使其產(chǎn)生裂縫,抗剪強(qiáng)度降低。經(jīng)過(guò)長(zhǎng)時(shí)間的侵蝕,黑色巖層內(nèi)部產(chǎn)生軟弱夾層。本文根據(jù)黑色巖層邊坡地質(zhì)情況,建立了巖質(zhì)邊坡力學(xué)模型,綜合考慮軟弱夾層的應(yīng)變軟化、水致弱化以及降雨等因素,建立尖點(diǎn)突變模型。基于突變理論,闡述了穩(wěn)定性邊坡、同步失穩(wěn)型邊坡以及滯后失穩(wěn)型邊坡等三種邊坡演化過(guò)程,并給出了邊坡系統(tǒng)失穩(wěn)破壞的必要條件。對(duì)于邊坡的穩(wěn)定性問(wèn)題,通過(guò)比較分析表明:本文建立的尖點(diǎn)突變模型優(yōu)于傳統(tǒng)的剛度極限平衡法。通過(guò)分析實(shí)際工程案例表明:基于本文建立的尖點(diǎn)突變模型研究邊坡的穩(wěn)定性等問(wèn)題是正確性,與實(shí)際是相符的。為使計(jì)算簡(jiǎn)單化、快速化,根據(jù)本文的研究成果,采用MATLAB語(yǔ)言,編寫了用于計(jì)算邊坡穩(wěn)定性以及失穩(wěn)邊坡臨界失穩(wěn)系數(shù)的程序。
[Abstract]:In this paper, the catastrophe theory is introduced from two basic variation phenomena, the development course, basic form and characteristics of the catastrophe theory are combed out, and the stability of the system corresponding to different regions in the control plane is analyzed. Based on the previous research results, the general steps to solve slope stability problems based on cusp catastrophe theory are summarized. The XRD diffraction patterns of the black strata show that the main components of the black strata are quartz, Muscovite, Illite, chlorite and a small amount of pyrite. Pyrite is easy to be oxidized, resulting in acid water will cause chemical alteration of mineral composition, resulting in cracks and reduced shear strength. After a long period of erosion, weak intercalation is produced inside the black strata. According to the geological conditions of black rock slope, a mechanical model of rock slope is established in this paper. Considering the factors such as strain softening, water induced weakening and rainfall of weak intercalation, a cusp catastrophe model is established. Based on the catastrophe theory, the evolution process of stable slope, synchronous unstable slope and delayed unstable slope are expounded, and the necessary conditions for the failure of slope system are given. For the stability of slope, the comparison and analysis show that the cusp catastrophe model established in this paper is superior to the traditional stiffness limit equilibrium method. Through the analysis of practical engineering cases, it is shown that the research on slope stability based on the cusp catastrophe model established in this paper is correct and consistent with the actual situation. In order to simplify and quicken the calculation, a program for calculating the slope stability and the critical instability coefficient of the unstable slope is compiled by using MATLAB language according to the research results of this paper.
【學(xué)位授予單位】：西南科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：TU457

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