An iteration approach for structural non-probabilistic reliability analysis based on hyper-ellipsoidal models
  
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DOI:10.7511/jslx20086140
KeyWord:Hyper-ellipsoidal model,non-probabilistic reliability,reliability index,Most Probable failure Point,iteration algorithm
LUO Yang-jun  KANG Zhan
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Abstract:
      This paper investigates the iteration algorithms for the non-probabilistic reliability analysis of structures using hyper-ellipsoidal models of uncertainties.For the purpose of alleviating the convergence difficulties of the reliability index calculation in presence of highly nonlinear limit-state functions,the paper proposed a criterion for detecting Zig-zag iterations and a modified iteration scheme based on the HL-RF algorithm.The numerical example demonstrates the validity and efficiency of the present method.The proposed techniques are also shown to be capable of improving the iteration convergence in evaluating the non-probabilistic reliability index.