基于区间组合法的边坡稳定非概率模糊可靠性分析方法

根据边坡稳定性影响因素的随机性、模糊性以及岩土材料力学参数取值的区间性特征,采用非对称三角模糊数表示岩土力学参数取值可能性分布,并对试验数据进行区间模糊优化分析。将所得非对称三角模糊数转化成区间数,运用边坡稳定性分析的简化Bishop法与区间组合法建立边坡安全系数区间值及可能滑动面求解方法,避免了区间函数运算的区间扩张问题。将安全系数区间计算函数与给定安全系数值之差作为功能函数,利用非概率模糊可靠性分析方法计算不同截集水平下的模糊可靠性指标,进而得到其可能性分布曲线,并由可能性理论求得边坡失效可能度,从而建立了基于区间组合法的边坡稳定非概率模糊可靠性分析方法。工程算例表明,该方法具有一定的合理性,为边坡工程稳定性评价提供了新的途径。

Non-probabilistic fuzzy reliability analysis of slope stability based on interval interconnection method

The factors of slope stability involve randomness and fuzziness,and the mechanical parameter values of rock and soil are usually given in intervals.Asymmetric triangular fuzzy numbers were used to describe the probability distributions,and interval fuzzy optimization analysis of test data was carried out to determine their values.These asymmetry triangular fuzzy numbers were changed into interval numbers.The calculating method for safety factor interval and possible slope failure surface was proposed by using a simplified Bishop's method and an interval interconnection method,avoiding the need for interval extension.The difference between the safety factor interval function and the given safety factor was regarded as the reliability function.Non-probabilistic fuzzy reliability analysis method was used to calculate the fuzzy reliability indexes with different cut-levels and the probable distribution curves.The possibility theory was introduced to obtain the slop failure possibility.Method for non-probabilistic fuzzy reliability analysis of slope stability based on interval interconnection was established.A practical example indicates the feasibility of the method,and it provides an approach for slop stability evaluation.