D. Wei

TL;DR: In this paper, a new univariate method employing the most probable point as the reference point for predicting failure probability of structural and mechanical systems subject to random loads, material properties, and geometry is presented.

TL;DR: In this article, an alternative univariate method for predicting component reliability of mechanical systems subject to random loads, material properties, and geometry is presented. But the method involves novel function decomposition at a most probable point that facilitates the univariate approximation of a general multivariate function in the rotated Gaussian space and one-dimensional integrations for calculating the failure probability.

TL;DR: In this article, a new univariate decomposition method for design sensitivity analysis and reliability-based design optimization of mechanical systems subject to uncertain performance functions in constraints is presented, which involves a novel univariate approximation of a general multivariate function in the rotated Gaussian space for reliability analysis.

TL;DR: In this article, a multi-point univariate decomposition method for structural reliability analysis involving multiple most probable points (MPPs) is presented, which involves a novel function decomposition at all MPPs that facilitates local univariate approximations of a performance function in the rotated Gaussian space.