Convex Set Theory for Reliability Assessment of Steel Beam with Bounded Uncertainty

Li-Zhe Jia,Yi-Ming Duan

(School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China)



Abstract:

Probabilistic reliability model established by insufficient data is inaccessible. The convex model was applied to model the uncertainties of variables. A new non-probabilistic reliability model was proposed based on the robustness of system to uncertainty. The non-probabilistic reliability model, the infinite norm model, and the probabilistic model were used to assess the reliability of a steel beam, respectively. The results show that the resistance is allowed to couple with the action effect in the non-probabilistic reliability model. Additionally, the non-probabilistic reliability model becomes the same accurate as probabilistic model with the increase of the bounded uncertain information. The model is decided by the available data and information.

Key words:  non-probabilistic model  convex set theory  structural reliability

DOI£º10.11916/j.issn.1005-9113.2014.02.014

Clc Number:TU312+.3

Fund: