Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 199, Issue 9-12, Pages 450-464Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2009.08.015
Keywords
Probabilistic Buckling Analysis; Reliability analysis; Response Surface Method; Ratio of polynomials surface; Uncertain parameters
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An efficient procedure for the reliability analysis of frame structures with respect to the buckling limit state is proposed under the assumption that no imperfections are present and that the elastic parameters are uncertain and modeled as random variables. The approach allows a deeper investigation of structures which are not sensitive to imperfections. The procedure relies on a Response Surface Method adopting simple ratio of polynomials without cross-terms as performance function. Such a relationship approximates analytically the dependence between the buckling load and the basic variables furnishing a limit state equation which is very close to the exact one when a proper experimental design is adopted. In this way a Monte Carlo Simulation applied to the response surface leads to a good approximation with low computational effort. Several numerical examples show the accuracy and effectiveness of the method varying structural complexity, correlation between basic variables and their distribution. (C) 2009 Elsevier B.V. All rights reserved.
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