论文信息 - Stability problems of steel structures in the presence of stochastic and fuzzy uncertainty

Stability problems of steel structures in the presence of stochastic and fuzzy uncertainty

General ideas and problems of probability approach and its utilization in the verification of structural design procedures of EUROCODES are mentioned. The paper is aimed at the probability study of the ultimate limit state of a steel compressed member designed economically according to EUROCODE 3. The theoretical failure probability (reliability index) vs. ratio of permanent to variable load action is calculated by means of the Monte Carlo simulation method. The misalignment of the failure probability according to EN1990 is analysed. Initial imperfections are generally considered as random variables and random fields. The non-linear beam FEM is used. The influence of initial curvature shape and size variability of the member axis on the variability of load-carrying capacity is investigated. The probabilistic analysis is supplemented with the fuzzy analysis of the influence of uncertainties on the failure probability.

Zdeněk Kala

[1] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..

[2] Milan Holický,et al. Design characteristics of structural steels based on statistical analysis of metallurgical products , 2004 .

[3] H. Gulvanessian,et al. EN1990 Eurocode—Basis of structural design , 2001 .

[4] Zdenek Kala. FUZZY PROBABILITY METHODS IN APPLICATIONS TO RELIABILITY ANALYSIS OF EUROCODE RULES FOR STEEL STRUCTURE DESIGN , 2007 .

[5] Zdeněk Kala,et al. Sensitivity analysis of the stability problems of thin-walled structures , 2005 .

[6] Didier Dubois,et al. Fuzzy sets and systems ' . Theory and applications , 2007 .

[7] C. Guedes Soares,et al. Uncertainty modelling in plate buckling , 1988 .

[8] Konrad Bergmeister,et al. Technologische Eigenschaften von Stählen im europäischen Vergleich , 2006 .

[9] D. A. Nethercot,et al. Designer's guide to EN 1993-1-1 : Eurocode 3: Design of Steel Structures : General Rules and Rules for Buildings /L. Gardner and D. A. Nethercot , 2005 .

[10] Jon C. Helton,et al. An exploration of alternative approaches to the representation of uncertainty in model predictions , 2003, Reliab. Eng. Syst. Saf..