Machine learning-based methods in structural reliability analysis: A review

SS Afshari, F Enayatollahi, X Xu, X Liang - Reliability Engineering & System …, 2022 - Elsevier
Structural Reliability analysis (SRA) is one of the prominent fields in civil and mechanical
engineering. However, an accurate SRA in most cases deals with complex and costly …

Monte Carlo and variance reduction methods for structural reliability analysis: A comprehensive review

C Song, R Kawai - Probabilistic Engineering Mechanics, 2023 - Elsevier
Monte Carlo methods have attracted constant and even increasing attention in structural
reliability analysis with a wide variety of developments seamlessly presented over decades …

Assessing small failure probabilities by AK–SS: An active learning method combining Kriging and Subset Simulation

X Huang, J Chen, H Zhu - Structural Safety, 2016 - Elsevier
With complex performance functions and time-demanding computation of structural
responses, the estimation of small failure probabilities is a challenging problem in …

Metamodel-based importance sampling for structural reliability analysis

V Dubourg, B Sudret, F Deheeger - Probabilistic Engineering Mechanics, 2013 - Elsevier
Structural reliability methods aim at computing the probability of failure of systems with
respect to some prescribed performance functions. In modern engineering such functions …

Assessing small failure probabilities by combined subset simulation and support vector machines

JM Bourinet, F Deheeger, M Lemaire - Structural Safety, 2011 - Elsevier
Estimating small probabilities of failure remains quite a challenging task in structural
reliability when models are computationally demanding. FORM/SORM are very suitable …

An improved adaptive kriging-based importance technique for sampling multiple failure regions of low probability

F Cadini, F Santos, E Zio - Reliability Engineering & System Safety, 2014 - Elsevier
The estimation of system failure probabilities may be a difficult task when the values
involved are very small, so that sampling-based Monte Carlo methods may become …

Meta-models for structural reliability and uncertainty quantification

B Sudret - arXiv preprint arXiv:1203.2062, 2012 - arxiv.org
A meta-model (or a surrogate model) is the modern name for what was traditionally called a
response surface. It is intended to mimic the behaviour of a computational model M (eg a …

A state‐of‐the‐art review on fatigue life assessment of steel bridges

XW Ye, YH Su, JP Han - Mathematical Problems in …, 2014 - Wiley Online Library
Fatigue is among the most critical forms of damage potentially occurring in steel bridges,
while accurate assessment or prediction of the fatigue damage status as well as the …

A Gaussian process-based dynamic surrogate model for complex engineering structural reliability analysis

G Su, L Peng, L Hu - Structural Safety, 2017 - Elsevier
The performance function of a complex engineering structure is always highly nonlinear and
implicit, and its reliability needs to be evaluated through a time-consuming computer codes …

Meta-model-based importance sampling for reliability sensitivity analysis

V Dubourg, B Sudret - Structural Safety, 2014 - Elsevier
Reliability sensitivity analysis aims at studying the influence of the parameters in the
probabilistic model onto the probability of failure of a given system. Such an influence may …