Uncertain structural design based on nonlinear fuzzy analysis

authored by: Michael Beer
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.
External Organisation(s): Technische Universität Dresden
Type: Article
Journal: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume: 84
Pages: 740-753
No. of pages: 14
ISSN: 0044-2267
Publication date: 2004
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Applied Mathematics
Electronic version(s): https://doi.org/10.1002/zamm.200410154 (Access: Closed)