本文選題：邊坡穩(wěn)定性分析　切入點(diǎn)：極限平衡條分法　出處：《寧夏大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：邊坡穩(wěn)定性分析在巖土力學(xué)學(xué)科中是重要的理論課題,同時也是工程中重要的實(shí)踐課題。本文詳細(xì)介紹了目前邊坡穩(wěn)定性分析的常用極限平衡條分法,并通過算例對常用極限平衡條分法進(jìn)行了比較,分析指出它們存在的問題。針對常用極限平衡條分法存在的問題,文中引入了另一種邊坡穩(wěn)定性分析方法,即加載系數(shù)法。它通過施加一假想體積力,體積力的方向平行于條底,而讓邊坡可能滑動體達(dá)到極限平衡狀態(tài),按照條底法向力方程,在條底法向力上作出一些假定,依據(jù)極限平衡原理和Mohr-Coulomb破壞準(zhǔn)則,推導(dǎo)出邊坡穩(wěn)定加載系數(shù)解析解,這使得未知量的假設(shè)有更加充分的理論依據(jù)和更加明確的物理意義。工程中慣于采取安全系數(shù)作為穩(wěn)定性指標(biāo)來評價邊坡穩(wěn)定程度,為此,依據(jù)Mohr-Coulomb準(zhǔn)則、安全系數(shù)以及加載系數(shù)兩個穩(wěn)定性指標(biāo)的定義,在理論上研究推導(dǎo)出邊坡穩(wěn)定安全系數(shù)與加載系數(shù)的之間的關(guān)系;基于可能滑動體的靜力平衡及Mohr-Coulomb破壞準(zhǔn)則,建立了安全系數(shù)法與加載系數(shù)法兩者之間的統(tǒng)一方程,并研究了相應(yīng)的數(shù)值算法,從數(shù)值上模擬了加載系數(shù)與安全系數(shù)兩個穩(wěn)定性指標(biāo)之間的關(guān)系。運(yùn)用安全系數(shù)與加載系數(shù)之間存在的關(guān)系,直接由加載系數(shù)解析解來求解安全系數(shù),不但計(jì)算邊坡穩(wěn)定性指標(biāo)的結(jié)果更精確,而且穩(wěn)定性指標(biāo)的計(jì)算工作量大幅度減少。
[Abstract]:Slope stability analysis is not only an important theoretical subject in geotechnical mechanics, but also an important practical subject in engineering. In this paper, the commonly used limit equilibrium strip method for slope stability analysis is introduced in detail. Through the comparison of common limit equilibrium slice method, the problems of them are pointed out, and another method of slope stability analysis is introduced in this paper, aiming at the problems of the commonly used limit equilibrium strip method. That is, the loading coefficient method. By applying an imaginary volume force, the direction of the volume force is parallel to the bottom of the strip, and the slope may slip to the limit equilibrium state. According to the normal force equation of the strip bottom, some assumptions are made on the normal force at the bottom of the strip. According to the limit equilibrium principle and Mohr-Coulomb failure criterion, the analytical solution of slope stability loading coefficient is derived. This makes the hypothesis of unknown quantity have more sufficient theoretical basis and clearer physical meaning. In engineering, the safety factor is used as the stability index to evaluate the slope stability degree. Therefore, according to the Mohr-Coulomb criterion, Based on the definition of safety factor and loading factor, the relationship between slope stability safety factor and loading factor is derived theoretically, and based on the static equilibrium and Mohr-Coulomb failure criterion of possible sliding body, The unified equation between the safety factor method and the loading coefficient method is established, and the corresponding numerical algorithm is studied. The relationship between the loading coefficient and the safety factor is numerically simulated. By using the relationship between the safety factor and the loading factor, the safety factor is solved directly by the analytical solution of the loading coefficient. Not only the calculation results of slope stability index are more accurate, but also the calculation workload of slope stability index is greatly reduced.
【學(xué)位授予單位】：寧夏大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TU43

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