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Journal of Mechanical Science and Technology

, Volume 32, Issue 11, pp 5063–5068 | Cite as

A direct-integration-based structural reliability analysis method using non-probabilistic convex model

  • Xiao-Bo Nie
  • Hai-Bin Li
Article
  • 5 Downloads

Abstract

In practical structural reliability analysis, there is not only random uncertainty but also fuzzy uncertainty. Aiming at the fuzzy reliability of structure, a novel fuzzy reliability method is proposed based on direct integration method and ellipsoidal convex model. Firstly, the decomposition of fuzzy mathematics principle is used to convert fuzzy reliability model into non-probabilistic reliability model, in which fuzzy variables are converted into interval variables. The upper and lower bounds of interval variables are determined by the possibility distribution function on the membership value. Secondly, multidimensional ellipsoid convex models are constructed to quantify the uncertainty because of the complexity of non-probabilistic reliability. Finally, sigmoid function with adjustable parameter is introduced to direct integration method for approximating the step function, and then direct integration method is used to solve the fuzzy reliability. Numerical examples are investigated to demonstrate the effectiveness of the present method, which provides a feasible way for the structural fuzzy reliability analysis.

Keywords

Fuzzy variable Ellipsoid convex Interval variable Sigmoid function Direct integration method 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of ScienceInner Mongolia University of TechnologyHohhot, Inner MongoliaChina

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