应用模糊有限元法的一种反分析形式

A Formulation of Back Analysis Using the Fuzzy Finite Element Method

本文提出了应用模糊有限元法的一种反分析形式。本方法将常规的反分析方法与模糊有限元法结合起来考虑岩土工程反分析问题中的不确定性，不精确性即模糊性。还提出了关于隶属函数、敏感性系数、贡献权和反分析结果可靠度等新的计算公式，以及考虑有限单元数模糊性的新方法。给出了算例并对模糊有限单元反分析结果进行了隶属度、敏感系数、模糊测度及可靠度等模糊分析。

This paper presents a formulation of the back analysis using the fuzzy finite element method. The methodcombines the conventional back analysis with fuzzy finite element method to consider the uncertain,imprecise,orfuzzy nature of back analysis problems in geomechanical engineering. We also suggest the calculating formulae aboutthe membership function,the weight of contribution,the reliability for back analysis results,and a new method toconsider the fuzziness of element number.The fuzzy analysis of the membership function, the sensitivity factor,thefuzzy measure,and the reliability for fuzzy back analysis results are illustrated with an example.