The first-order reliability method (FORM) is commonly used in the field of structural reliability
analysis, which transforms the reliability analysis problem into the solution of an optimization …

Computing the sensitivity vector in the traditional first order reliability method may provide
inaccurate reliability outcomes for discrete performance functions and inefficient …

This paper presents the state of the art in Structural Reliability Analysis (SRA) methods with
a view of identifying key applications of each method and its proposed variations, qualifying …

The reliability analysis of structural systems with multiple failure modes and mixed variables
is a critical problem because of complex nonlinear correlations among failure modes (or …

Due to its advantages of simplicity and high efficiency, Hasofer–Lind and Rackwitz–Fiessler
(HL–RF) method is widely used in structural reliability analysis. However, it may encounter …

Abstract The Most Probable Point (MPP) is typically searched by transforming the basic
random variables from original to standard normal space in the traditional first order …

The single-loop approach (SLA) for reliability-based design optimization (RBDO) is one of
the most efficient schemes for optimization problems with linear and weak nonlinear …

This study aims to develop a rotational sparse grid (R-SPGR) method for statistical moment
evaluation and structural reliability analysis with enhanced accuracy and efficiency. The …

Surrogate-models have proven to be an effective strategy for structural systems with
expensive-to-evaluate simulations and are very useful for structural reliability analysis. Many …

The estimation of the failure probability for complex systems is a crucial issue for
sustainability. Reliability analysis methods are needed to be developed to provide accurate …