Fuzzy structural analysis using alpha-level optimization

In this paper new concepts and developments are presented for structural an alysis involving uncertain parameters. Based on a classification of the unc ertainties 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 i n terms of the alpha -level optimization with the application of a modified evolution strategy. Every known analysis algorithm for the realistic simul ation of load-bearing behavior may be applied in the fuzzy structural analy sis in the sense of a deterministic fundamental solution. By way of example , geometrically and physically nonlinear algorithms are adopted in the pres ented study as a deterministic fundamental solution for the analysis of ste el and reinforced concrete structures. The paper also describes coupling be tween alpha -level optimization and the deterministic fundamental solution.