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Michael Beer (2004)
Uncertain structural design based on nonlinear fuzzy analysis
Special Issue of ZAMM 84(10–11):740–753.
In this paper a comprehensive application of fuzzy set theory in structural engineering is presented. Non-stochastic uncertainty
is quantified using fuzzy values. The fuzzy structural parameters are processed on the basis of a generally applicable numerical
method for arbitrary linear and nonlinear fuzzy structural analyses. This method is formulated in terms of α-level optimization
combined with a modified evolution strategy. The fuzzy structural responses are compared with permissible values and assessed
using an analog to the Shannon entropy and defuzzification algorithms. Referring to permissible fuzzy structural responses
uncertain structural design parameters are derived by applying a fuzzy cluster analysis to the fuzzy structural parameters. The
nonlinear fuzzy structural analysis including uncertain structural design is demonstrated by way of an example.
