Abstract Design of structural and multidisciplinary systems under uncertainties requires
estimation of their reliability or equivalently the probability of failure under the given …

High-dimensional reliability analysis remains a grand challenge since most of the existing
methods suffer from the curse of dimensionality. This paper introduces a novel high …

In this study, a general frame of the forward and inverse structural uncertainty propagations
(UPs) based on the dimension reduction (DR) method and the derivative lambda probability …

The maximum entropy method (MEM) is a powerful tool for the recovery of unknown
probability density functions (PDF) and has growing popularity in the reliability analysis …

The fractional moment-based maximum entropy method (FM-MEM) attracts more and more
attention in reliability analysis recently, comparing with the common integer moment-based …

Efficiency is greatly concerned in reliability analysis community, especially for the problems
with high-dimensional input random variables, because the computation cost of common …

Evaluating the large reliability index of an implicit and nonlinear performance function (PF) is
still a challenging problem in practical engineering. To overcome this problem, an efficient …

Strong earthquakes can damage power facilities, resulting in power outages and major
economic losses. Seismic vulnerability analysis is a common method to assess the seismic …

Traditional methods for structural uncertainty problems with nonconventional distributions
involve a significant computational burden, attributed to the nonlinear increase of structures …

This paper proposes an improved maximum entropy method for reliability analysis (i-MEM),
in which the limit state function is transformed by a nonlinear map** to predict the failure …