The stochastic response analysis and first-passage reliability evaluation of multi-
dimensional nonlinear systems subjected to non-white-noise engineering dynamic …

Various numerical methods have been extensively studied and used for reliability analysis
over the past several decades. However, how to understand the effect of numerical …

Bayesian active learning methods have emerged for structural reliability analysis and shown
more attractive features than existing active learning methods. However, it remains a …

Line sampling has been demonstrated to be a promising simulation method for structural
reliability analysis, especially for assessing small failure probabilities. However, its practical …

This paper proposes a novel approach called the Density Extrapolation Approach (DEA) for
efficient reliability analysis. It builds on the Subset Simulation (SS) approach and integrates …

First-passage probability estimation of high-dimensional nonlinear stochastic dynamic
systems is a significant task to be solved in many science and engineering fields, but …

Kriging-based adaptive structural reliability analysis methods can replace the structural
performance function and perform reliability analysis accurately and efficiently by using …

Adaptive surrogate-based reliability analysis methods have garnered significant attention
due to their potential to enhance computational efficiency in accurately estimating failure …

This study presents an importance sampling formulation based on adaptively relaxing
parameters from the indicator function and/or the probability density function. The …

An efficient post-processing simulation method is proposed to estimate small failure
probabilities of stochastic dynamic structures involving the inherent randomness of structural …