基于Janbu法的边坡稳定可靠度分析

Reliability analysis of slope stability using Janbu method

结合任意滑动面形式的Janbu条分法和JC的可靠度分析理论,从极限条件出发推导出可靠性分析的功能函数,给出基于Janbu法的可靠性功能函数的推导过程。根据土性参数对边坡的影响,选取土的粘聚力c和内摩擦角φ(取其正切值f)作为随机变量,并对非正态分布的c进行正态化。并根据随机场理论,分析c、f相关性对边坡稳定可靠度指标的影响。

Based on the slice method of Janbu, in which the failure surfaces is arbitrary- shaped, and the reliability theory of JC, a function equation in limiting equilibrium is developed to calculate factors of safety of slopes. According to the influence to the slope, the soil parameters, including coherence c and internal friction angle φ, are regarded as random variables, and the coherence c which is not normally distributed is normalized. Using the random field theory, the influence of the correlation of shear strength to the reliability index is analysized.