Engineering analysis with probability boxes: A review on computational methods
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 …
vague or incomplete data in the description of model uncertainties is a fast-growing field of …
Modeling, analysis, and optimization under uncertainties: a review
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 …
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 …
requires the establishment of accurate parametric probability distribution functions using …
Improved Kriging-based hierarchical collaborative approach for multi-failure dependent reliability assessment
Reliability assessment considering multi-failure dependency brings in highly complex
computing tasks, which is impracticable for some complex structures like turbine cooling …
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 …
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
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 …
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
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 …
first excursion probability of a linear structure that is subjected to an imprecise stochastic …
Hybrid uncertain static analysis with random and interval fields
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 …
system parameter is investigated in this study. Unlike the traditional hybrid uncertain static …
Robust topology optimization for structures under interval uncertainty
This paper proposes a new non-probabilistic robust topology optimization approach for
structures under interval uncertainty, as a complementarity of the probabilistic robust …
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
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 …
element method is proposed to determine the bounds of sound pressure in the 2D acoustic …