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B Möller, W Graf, and M Beer (2000)
Fuzzy structural analysis using alpha-level optimization
Computational Mechanics 26:547–565.
In this paper new concepts and developments are presented for structural analysis
involving uncertain parameters. Based on a classification of the
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 α-level optimization
with the application of a modified evolution strategy. Every known
analysis algorithm for the realistic simulation of load-bearing behavior
may be applied in the fuzzy structural analysis in the sense of a
deterministic fundamental solution. By way of example, 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. The paper also describes coupling between
α-level optimization and the deterministic fundamental solution.
