A new reliability method for small failure probability problems by combining the adaptive importance sampling and surrogate models

DOI10.1016/j.cma.2020.113336zbMath1506.65016OpenAlexW3081247894MaRDI QIDQ2020913

Kai Yuan, Hongyou Zhan, Ning-Cong Xiao

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113336

zbMATH Keywords

structural reliabilityadaptive importance samplingmultiple failure modeskriging modelssmall failure probability

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reliability and life testing (62N05)

Related Items (7)

Quantile-based topology optimization under uncertainty using kriging metamodel ⋮ A novel method for reliability analysis with interval parameters based on active learning Kriging and adaptive radial‐based importance sampling ⋮ A novel approach for multi‐output structural system reliability problem with small failure probability ⋮ AK-\(\mathrm{HR}^n\): an efficient adaptive kriging-based \(n\)-hypersphere rings method for structural reliability analysis ⋮ A novel maximum volume sampling model for reliability analysis ⋮ A stochastic process discretization method combing active learning Kriging model for efficient time-variant reliability analysis ⋮ Efficient local adaptive Kriging approximation method with single-loop strategy for reliability-based design optimization

Uses Software

• AK-MCS

Cites Work

• System reliability analysis with saddlepoint approximation
• A novel projection outline based active learning method and its combination with Kriging metamodel for hybrid reliability analysis with random and interval variables
• Evidence theory-based reliability optimization design using polynomial chaos expansion
• A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities
• Epistemic uncertainty-based reliability analysis for engineering system with hybrid evidence and fuzzy variables
• Efficient quantification of material uncertainties in reliability-based topology optimization using random matrices
• Adaptive kriging-based efficient reliability method for structural systems with multiple failure modes and mixed variables
• An efficient reliability method combining adaptive importance sampling and kriging metamodel

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