Abstract
Abstract
The article presents global Sobol sensitivity analysis of a rolled member in tension made from austenitic chromium-nickel stainless steel of type 1.4307/AISI 304 L. The statistical characteristics of yield strength and of the geometry of the rolled steel IPE cross-section are presented on the basis of published experimental research. The sensitivity analysis showed the dominant effect of the yield strength on the static resistance. The second dominant variable is the flange thickness. Higher-order sensitivity indices oriented at detecting the presence of interaction effects between input variables are very small. The characteristics of other types of sensitivity analyses oriented at quantiles or the probability of failure are discussed, especially in terms of a higher proportion of higher-order sensitivity indices. The results of Sobol sensitivity analysis of stainless steel are compared with similar results of carbon steels.
Reference40 articles.
1. Sensitivity estimates for non-linear mathematical models;Sobol;Matematicheskoe Modelirovanie,1990
2. Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates;Sobol;Mathematics and Computers in Simulation,2001
3. Trends in sensitivity analysis practice in the last decade;Ferretti;Science of the Total Environment,2018
4. Adaptive reliability analysis for rare events evaluation with global imprecise line sampling;Song;Computer Methods in Applied Mechanics and Engineering,2020
5. Estimating probability of fatigue failure of steel structures;Kala;Acta et Commentationes Universitatis Tartuensis de Mathematica,2019