Novel hybrid robust method for uncertain reliability analysis using finite conjugate map

SP Zhu, B Keshtegar, M Bagheri, P Hao… - Computer Methods in …, 2020 - Elsevier
Due to the limitation of measured data, the random and epistemic uncertainties must be
simultaneously handled for the reliability analysis of curvilinear aircraft stiffened panels with …

Estimation of the lower and upper bounds on the probability of failure using subset simulation and random set theory

DA Alvarez, F Uribe, JE Hurtado - Mechanical Systems and Signal …, 2018 - Elsevier
Random set theory is a general framework which comprises uncertainty in the form of
probability boxes, possibility distributions, cumulative distribution functions, Dempster …

Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading

MGR Faes, MA Valdebenito, D Moens, M Beer - Computers & Structures, 2020 - Elsevier
This paper presents a highly efficient and accurate approach to determine the bounds on the
first excursion probability of a linear structure that is subjected to an imprecise stochastic …

Augmented first-order reliability method for estimating fuzzy failure probabilities

MA Valdebenito, X Yuan, MGR Faes - Structural Safety, 2023 - Elsevier
This paper presents an approach for estimating the fuzzy failure probability associated with
reliability problems where uncertainty is characterized through random variables whose …

Robust topology optimization methodology for continuum structures under probabilistic and fuzzy uncertainties

Z Meng, Y Wu, X Wang, S Ren… - International Journal for …, 2021 - Wiley Online Library
Owing to the variations in geometric dimensions, material properties and external loads in
engineering applications, robust topology optimization (RTO) has garnered increasing …

[HTML][HTML] Super parametric convex model and its application for non-probabilistic reliability-based design optimization

Z Meng, H Hu, H Zhou - Applied Mathematical Modelling, 2018 - Elsevier
In this study, we attempt to propose a new super parametric convex model by giving the
mathematical definition, in which an effective minimum volume method is constructed to give …

Hybrid reliability analysis with both random and probability-box variables

X Yang, Y Liu, Y Zhang, Z Yue - Acta Mechanica, 2015 - Springer
Hybrid reliability analysis (HRA) with both aleatory and epistemic uncertainties is
investigated in this paper. The aleatory uncertainties are described by random variables …

Tighter bounds on the probability of failure than those provided by random set theory

DA Alvarez, JE Hurtado, J Ramírez - Computers & Structures, 2017 - Elsevier
Random set theory is a generalization of Dempster-Shafer evidence theory, that employs an
infinite number of focal elements. It can be used for the estimation of the bounds of the …

Aircraft icing safety analysis method in presence of fuzzy inputs and fuzzy state

J Wang, Z Lu, Y Shi - Aerospace Science and Technology, 2018 - Elsevier
For lack of safety measure under the widely existing fuzzy inputs and fuzzy state in the
aircraft icing process, a safety analysis model is established to quantify the safety degree of …

Unified reliability analysis by active learning Kriging model combining with random‐set based Monte Carlo simulation method

X Yang, Y Liu, Y Gao - International Journal for Numerical …, 2016 - Wiley Online Library
Reliability analysis with both aleatory and epistemic uncertainties is investigated in this
paper. The aleatory uncertainties are described with random variables, and epistemic …