Uncertain structural design based on nonlinear fuzzy analysis

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Original languageEnglish
Pages (from-to)740-753
Number of pages14
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume84
Issue number10-11
Publication statusPublished - 2004
Externally publishedYes

Abstract

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.

Keywords

    α-level optimization, Fuzzy clustering, Fuzzy numbers, Fuzzy structural analysis, Uncertain structural design

ASJC Scopus subject areas

Cite this

Uncertain structural design based on nonlinear fuzzy analysis. / Beer, Michael.
In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 84, No. 10-11, 2004, p. 740-753.

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