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Fuzzy structural analysis based on fundamental reliability concepts
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DOI：10.1016/j.compstruc.2012.08.004.png)
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Fuzzy structural analysis is oriented to estimate the membership function of an output structural variable given the membership functions of the input ones, which are discretized in so-called a-cut levels. Such an estimation requires the solution of two optimization problems for each of them. In this paper an alternative approach is presented. It consists in solving a single optimization problem for the entire problem, which is that of FORM (first-order reliability analysis). It is shown that FORM solution has a valuable property, namely that it allows organizing the order statistics of the output variable along the design point vector. This property is exploited by a nonlinear projection of a large amount of standard Gaussian numbers, truncated according to the membership functions, onto a bi-dimensional space. From this mapping the samples necessary for directly solving the optimization problems are easily drawn using two curves, whose equations are derived from a similar transformation of the second-order approximation of the limit state function. A detailed structural example shows that the desired membership function of the response can be accurately estimated by the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.
Keyword:
Fuzzy structural analysis
Structural reliability
Interval analysis
Reliability plot
Order statistics
期刊
C
IF:
4.8
论文数:
6.2K
被引数:
1.7W
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