Engineering analysis with probability boxes: A review on computational methods

MGR Faes, M Daub, S Marelli, E Patelli, M Beer - Structural Safety, 2021 - Elsevier
The consideration of imprecise probability in engineering analysis to account for missing,
vague or incomplete data in the description of model uncertainties is a fast-growing field of …

Modeling, analysis, and optimization under uncertainties: a review

E Acar, G Bayrak, Y Jung, I Lee, P Ramu… - Structural and …, 2021 - Springer
Abstract Design optimization of structural and multidisciplinary systems under uncertainty
has been an active area of research due to its evident advantages over deterministic design …

Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review

C Jiang, J Zheng, X Han - Structural and Multidisciplinary Optimization, 2018 - Springer
Traditional structural uncertainty analysis is mainly based on probability models and
requires the establishment of accurate parametric probability distribution functions using …

Improved Kriging-based hierarchical collaborative approach for multi-failure dependent reliability assessment

K Deng, LK Song, GC Bai, XQ Li - International Journal of Fatigue, 2022 - Elsevier
Reliability assessment considering multi-failure dependency brings in highly complex
computing tasks, which is impracticable for some complex structures like turbine cooling …

[HTML][HTML] Discussions on non-probabilistic convex modelling for uncertain problems

BY Ni, C Jiang, ZL Huang - Applied Mathematical Modelling, 2018 - Elsevier
Non-probabilistic convex model utilizes a convex set to quantify the uncertainty domain of
uncertain-but-bounded parameters, which is very effective for structural uncertainty analysis …

Low-discrepancy sequence initialized particle swarm optimization algorithm with high-order nonlinear time-varying inertia weight

C Yang, W Gao, N Liu, C Song - Applied Soft Computing, 2015 - Elsevier
Particle swarm optimization (PSO) is a population-based stochastic optimization algorithm
motivated by intelligent collective behavior of some animals such as flocks of birds or …

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 …

Hybrid uncertain static analysis with random and interval fields

D Wu, W Gao - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
Uncertain static analysis of an engineering structure with diverse type of non-deterministic
system parameter is investigated in this study. Unlike the traditional hybrid uncertain static …

Robust topology optimization for structures under interval uncertainty

J Wu, J Gao, Z Luo, T Brown - Advances in Engineering Software, 2016 - Elsevier
This paper proposes a new non-probabilistic robust topology optimization approach for
structures under interval uncertainty, as a complementarity of the probabilistic robust …

Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters

B Xia, D Yu - Journal of Sound and Vibration, 2012 - Elsevier
Based on the sub-interval perturbation analysis, a modified sub-interval perturbation finite
element method is proposed to determine the bounds of sound pressure in the 2D acoustic …