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Fuzzy structural analysis using $$\alpha$$-level optimization. (English) Zbl 1009.74053
From the summary: We present new concepts and developments for structural analysis involving uncertain parameters. Based on a classification of uncertainties in structural analysis, the uncertainty “fuzziness” is identified and its quantification is demonstrated. On the basis of fuzzy set theory, a general method for fuzzy structural analysis is developed and formulated in terms of the $$\alpha$$-level optimization with application of a modified evolution strategy. By way of examples, geometrically and physically nonlinear algorithms are adopted in the presented study as a deterministic fundamental solution for the analysis of steel and reinforced concrete structures.

##### MSC:
 74P10 Optimization of other properties in solid mechanics 74K99 Thin bodies, structures
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