Acta Mechanica

, Volume 225, Issue 2, pp 413–430 | Cite as

Hybrid reliability analysis of structures with multi-source uncertainties

  • Lei Wang
  • Xiaojun WangEmail author
  • Yong Xia


A new hybrid reliability analysis technique based on the convex modeling theory is developed for structures with multi-source uncertainties, which may contain randomness, fuzziness, and non-probabilistic boundedness. By solving the convex modeling reliability problem and further analyzing the correlation within uncertainties, the structural hybrid reliability is obtained. Considering various cases of uncertainties of the structure, four hybrid models including the convex with random, convex with fuzzy random, convex with interval, and convex with other three are built, respectively. The present hybrid models are compared with the conventional probabilistic and the non-probabilistic models by two typical numerical examples. The results demonstrate the accuracy and effectiveness of the proposed hybrid reliability analysis method.


Failure Surface Limit State Function Structural Reliability Fuzzy Random Variable Interval Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  1. 1.Institute of Solid MechanicsBeihang UniversityBeijingChina
  2. 2.Department of Civil and Environmental EngineeringThe Hong Kong Polytechnic UniversityHung HomHong Kong, China

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