论文部分内容阅读
以模糊随机变量理论为指导,视模糊随机变量的均值为模糊数,基于小样本理论推导了均值模糊数模糊变化范围与样本数的关系式。采用截集敏感性分析法进行了边坡稳定的模糊随机有限元可靠度分析,得到了边坡的模糊随机可靠指标及模糊滑面的位置,研究了样本数与边坡模糊随机可靠指标的关系。分析表明,基于模糊随机变量理论的模糊随机可靠度分析方法是随机可靠度分析方法的自然推广;模糊随机可靠指标与样本数有关,随着样本数的改变,模糊随机可靠指标的中值也会发生微小变化,不是定值;在相同的置信度情况下,模糊随机可靠指标的变化范围随着样本数的增加而减小,可通过增加样本数的方式来减小模糊随机可靠指标的模糊性。
Guided by the theory of fuzzy random variables, the mean of the fuzzy random variables is regarded as the fuzzy numbers. Based on the small sample theory, the relation between the range of fuzzy changes of the fuzzy numbers and the number of samples is deduced. The method of cut-off sensitivity analysis was used to analyze the reliability of slope stability based on stochastic finite element method. The fuzzy random reliability index of slope and the location of fuzzy sliding surface were obtained. The relationship between the number of samples and the stochastic reliability index of slope was studied . The analysis shows that the fuzzy random reliability analysis method based on the theory of fuzzy random variables is a natural extension of the random reliability analysis method. The fuzzy random reliability index is related to the number of samples. As the number of samples changes, the median of fuzzy random reliability index The small changes occur, not a fixed value; under the same confidence level, the range of the fuzzy random reliability index decreases with the increase of the sample number, and the ambiguity of the fuzzy random reliability index can be reduced by increasing the number of samples .