边坡稳定性分析中加载系数法研究

发布时间：2018-03-22 13:54

本文选题：边坡稳定性分析　切入点：极限平衡条分法　出处：《宁夏大学》2017年硕士论文　论文类型：学位论文

【摘要】：边坡稳定性分析在岩土力学学科中是重要的理论课题,同时也是工程中重要的实践课题。本文详细介绍了目前边坡稳定性分析的常用极限平衡条分法,并通过算例对常用极限平衡条分法进行了比较,分析指出它们存在的问题。针对常用极限平衡条分法存在的问题,文中引入了另一种边坡稳定性分析方法,即加载系数法。它通过施加一假想体积力,体积力的方向平行于条底,而让边坡可能滑动体达到极限平衡状态,按照条底法向力方程,在条底法向力上作出一些假定,依据极限平衡原理和Mohr-Coulomb破坏准则,推导出边坡稳定加载系数解析解,这使得未知量的假设有更加充分的理论依据和更加明确的物理意义。工程中惯于采取安全系数作为稳定性指标来评价边坡稳定程度,为此,依据Mohr-Coulomb准则、安全系数以及加载系数两个稳定性指标的定义,在理论上研究推导出边坡稳定安全系数与加载系数的之间的关系;基于可能滑动体的静力平衡及Mohr-Coulomb破坏准则,建立了安全系数法与加载系数法两者之间的统一方程,并研究了相应的数值算法,从数值上模拟了加载系数与安全系数两个稳定性指标之间的关系。运用安全系数与加载系数之间存在的关系,直接由加载系数解析解来求解安全系数,不但计算边坡稳定性指标的结果更精确,而且稳定性指标的计算工作量大幅度减少。
[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.
【学位授予单位】：宁夏大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TU43

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