Numerical methods play a dominant role in structural reliability analysis, and the goal has
long been to produce a failure probability estimate with a desired level of accuracy using a …

Industrial robot, as one class of digitalized intelligent equipment, plays a significant role in
enhancing production efficiency and quality through implementing desired kinematic …

In the second-order reliability method, the limit state function in arbitrarily distributed random
variables is approximated by a quadratic polynomial of standard normal variables. The fitted …

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

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 high-order moment-based method is an attractive non-intrusive approach for structural
reliability analysis, while it remains a challenge to strike a balance between accuracy …

First‐order reliability method (FORM) has been mostly utilized for solving reliability‐based
design optimization (RBDO) problems efficiently. However, second‐order reliability method …

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 …

The robustness and efficiency of the first-order reliability method (FORM) are the important
issues in the structural reliability analysis. In this paper, a hybrid conjugate search direction …