›› 2011, Vol. 32 ›› Issue (2): 579-584.

• Numerical Analysis • Previous Articles     Next Articles

Study of relationship between sample size and fuzzy random reliability indices of slope stability

TAN Xiao-hui 1, 2, BI Wei-hua1, HU Xiao-jun3, WU Kun-ming4   

  1. 1. School of Resources and Environment Engineering, Hefei University of Technology, Hefei 230009, China; 2. Center for post-doctoral studies of Geology; Hefei University of Technology, Hefei 230009, China; 3. School of Architecture Engineering, Hefei University, Hefei 230009, China; 4. School of Civil Engineering, Hefei University of Technology, Hefei 230009, China
  • Received:2009-06-30 Online:2011-02-10 Published:2011-02-16

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Abstract:

Considering the means of fuzzy random variables are fuzzy numbers, the relationship between the variation ranges of the means of fuzzy random variables and sample size is obtained based on the theory of fuzzy random variables and the theory of small sample size. Through the fuzzy random finite element reliability analysis of slope stability using the cutting method of sensitivity, the fuzzy random reliability indices and the fuzzy slip surfaces of slopes can be calculated; and the relationship between sample size and fuzzy random reliability indices can be obtained. It is demonstrated that the method of fuzzy random reliability analysis based on the theory of fuzzy random variables are the natural extension of the normally used method of stochastic reliability analysis. The normal value of fuzzy reliability indices is not a constant for it will change a little with the changing of sample size. Under the same confidence level, the variation ranges of the reliability indices will decrease with the increasing of sample size. Then, we can decrease the fuzziness of fuzzy random reliability indices by increasing the number of sample size.

Key words: fuzziness, randomness, reliability analysis, sample size, slope stability

CLC Number: 

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