There are two commonly used analytical reliability analysis methods: linear approximation–
first-order reliability method (FORM), and quadratic approximation–second-order reliability …

This paper proposes a novel second-order reliability method (SORM) using noncentral or
general chi-squared distribution to improve the accuracy of reliability analysis in existing …

Dimensional variation is inherent to any manufacturing process. In order to minimize its
impact on assembly products it is important to understand how the variation propagates …

In gradient‐based design optimization, the sensitivities of the constraint with respect to the
design variables are required. In reliability‐based design optimization (RBDO), the …

In this work, optimization-under-uncertainty (OUU) is treated by simultaneously minimizing
the mean of the objective and its variance due to variability of design variables and/or …

This paper proposes a most probable point (MPP)‐based dimension reduction method
(DRM) using the Hessian matrix called HeDRM to improve accuracy of reliability analysis in …

Abstract The Non-Parametric Stochastic Subset Optimization (NP-SSO) is a recently
developed algorithm appropriate for optimization problems that use reliability criteria as …

This paper proposes an algorithm to find robust reliability-based topology optimized designs
under a random-field material model. The initial design domain is made of linear elastic …

The objective of this study is to propose a new method for inverse reliability analysis and
robust design optimization using the univariate dimension reduction method (DRM). The …

There are two commonly used reliability analysis methods of analytical methods: linear
approximation-First Order Reliability Method (FORM), and quadratic approximation-Second …