2019
DOI: 10.3390/app9122546
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A Novel Algorithm for Structural Reliability Analysis Based on Finite Step Length and Armijo Line Search

Abstract: This paper presents a novel algorithm for structural reliability analysis based on the finite step length and Armijo line search to remove the drawbacks of the Hasofer–Lind and Rakwitz–Fiessler (HL-RF) algorithm that may be subjected to non-convergence in the first-order reliability method (FORM). Initially, the sensitivity factor with finite step length is introduced for preventing the iterative process of the algorithm from entering a periodic loop. Subsequently, an optimization method based on the sufficien… Show more

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Cited by 15 publications
(8 citation statements)
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“…For the step size σ k of the interval analysis, it is determined according to the Armijo rule 46 : σk=maxsτsgbold-italicyk+τtbold-italicdbold-italicykgyk<0, where τ ∈ (0, 1) and s is the smallest nonnegative integer satisfying the inequality.…”
Section: Proposed Methods With Both Random and Interval Variablesmentioning
confidence: 99%
“…For the step size σ k of the interval analysis, it is determined according to the Armijo rule 46 : σk=maxsτsgbold-italicyk+τtbold-italicdbold-italicykgyk<0, where τ ∈ (0, 1) and s is the smallest nonnegative integer satisfying the inequality.…”
Section: Proposed Methods With Both Random and Interval Variablesmentioning
confidence: 99%
“…Compared to methods following the three afore-mentioned three clues, methods emphasize on searching algorithms seem more efficient and accurate, which are realized by regulating the sampling process strategically through some algorithms. The family of searching algorithms for structural reliability is board and varied, in which some of the heuristic ones are directional divisions [34][35][36][37], swarm algorithms [38,39], genetic algorithms [40][41][42], gradient or difference-based algorithms [43,44], etc. Yet, further improvements on searching algorithms with respect to the following aspects are always welcomed: 1, maximizing computational efficiency by minimizing the number of redundant samplings; 2, increasing robustness by adapting to a board type range of PFs; 3, stabilization of the convergence rate; 4, customization for different engineering cases according to the requirement of accuracy.…”
Section: Introductionmentioning
confidence: 99%
“…Unlike the fault diagnosis method requiring the structure to be failed [6]- [8], reliability analysis is throughout any stage of a structure's life. Quantifying the failure probability (FP) is central to conduct the reliability assessment of a structure, which can be defined as [9]:…”
Section: Introductionmentioning
confidence: 99%