Surrogate-model-assisted uncertainty treatment practices have been the subject of
increasing attention and investigations in recent decades for many symmetrical engineering …

Efficient assessment of mechanical system reliability subject to arbitrary probability
distributions and dependent input parameters signifies an important yet challenging task. To …

This paper presents a new bivariate dimension reduction method (BDRM) for statistical
moments evaluation and structural reliability analysis with accuracy and efficiency. A high …

An efficient reliability method, ie, AGM-PDEM, is presented which combines the adaptive
global metamodel (AGM) and the probability density evolution method (PDEM). The global …

The approximation of the probability density function (PDF) of the performance function,
especially for the tail distribution, is of paramount importance in structural reliability analysis …

Polynomial chaos expansion (PCE) is widely used to build a surrogate meta-model of the
performance function for structural reliability analysis. The number of terms to be determined …

Recovering the probability distribution of the performance function with an arbitrary shape is
still a difficult task for structural reliability analysis. Since working with the characteristic …

In this paper, a novel hybrid cubature formula is proposed for moment-based uncertainty
propagation analysis. First, the contribution-degree analysis is performed to classify the …

An efficient method for structural reliability analysis is presented, which combines the
statistical moments estimation and a versatile probability distribution model, ie, the shifted …

Statistical moment estimations of the performance function with the aim of balancing
accuracy and efficiency still remains a challenge for moment-based structural reliability …