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M Beer, B Möller, and M Liebscher (2003)
Processing uncertainty in structural analysis, design and safety assessment
In: Fourth International Symposium on Uncertainty Modeling and Analysis (ISUMA), edited by B.M. Ayyub and N.O. Attoh-Okine. ISUMA, College Park MD 34-39, pages 1–6.
In this paper a fuzzy method for
determining appropriate structural design is presented. Non-stochastic
uncertainty is quantified using fuzzy values and fuzzy random variables.
Fuzzy structural parameters are processed on the basis of a generally
applicable numerical method for arbitrary nonlinear fuzzy structural
analyses. Fuzzy randomness is introduced into a fuzzy probabilistic
safety assessment. This leads to fuzzy results representing fuzzy
structural responses and fuzzy safety levels. Referring to permissible
structural responses and safety levels uncertain structural design
parameters are derived. The nonlinear fuzzy structural analysis including
uncertain structural design is demonstrated by way of an example.
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