A new class of computational methods, referred to as decomposition methods, has been developed for predicting failure probability of structural and mechanical systems subject to random loads, material properties, and geometry. The methods involve a novel function decomposition that facilitates univariate and bivariate approximations of a general multivariate function, response surface generatio...

Formulation of structural reliability requires selection of probabilistic or physical models, which usually involve parameters to be estimated through statistical inference — a process that invariably introduces uncertainties in parameter estimates. The measure of reliability that incorporates these parameter uncertainties is termed the predictive reliability index. Methods for computing this m...

Based on two procedures for efficiently generating conditional samples, i.e. Markov chain Monte Carlo (MCMC) simulation and importance sampling (IS), two reliability sensitivity (RS) algorithms are presented. On the basis of reliability analysis of Subset simulation (Subsim), the RS of the failure probability with respect to the distribution parameter of the basic variable is transformed as a s...

Online course platforms have many advantages.Many universities establish online course platforms for online courses.Students' satisfaction with the online course platform largely determine the adopt of online course platform. In this paper, students in JiuJiang University Jiangxi province are regarded as research objects. Moderating variables are Big Five personality traits.Dependent variables ...

In this paper, a more efficient approach for component-level structural reliability analysis using the First Order Reliability Method (FORM) is presented. In this approach, the continuum design sensitivity analysis (DSA) and a two-point approximation (TPA) method are employed to support the most probable point (MPP) search in the random variable space for structural reliability analysis. This a...

In this paper, based on possibilistic reliability theory, the hybrid variables structural reliability model, which includes fuzzy variables and interval variables, is researched. The hybrid variables structural reliability model is established based on possibilistic reliability theory. The analytical algorithms of minimum fuzzy reliability index and maximum failure possibility degree in hybrid ...