A comprehensive review of digital twin—part 2: roles of uncertainty quantification and optimization, a battery digital twin, and perspectives

A Thelen, X Zhang, O Fink, Y Lu, S Ghosh… - Structural and …, 2023 - Springer
As an emerging technology in the era of Industry 4.0, digital twin is gaining unprecedented
attention because of its promise to further optimize process design, quality control, health …

How to deal with uncertainties in electric power systems? A review

AR Jordehi - Renewable and sustainable energy reviews, 2018 - Elsevier
In electric power systems, there exist many diverse uncertain parameters such as loads,
electricity price, wind power generation and photovoltaic power generation. In power system …

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 …

First and second order approximate reliability analysis methods using evidence theory

Z Zhang, C Jiang, GG Wang, X Han - Reliability Engineering & System …, 2015 - Elsevier
The first order approximate reliability method (FARM) and second order approximate
reliability method (SARM) are formulated based on evidence theory in this paper. The …

Non-probabilistic convex model process: a new method of time-variant uncertainty analysis and its application to structural dynamic reliability problems

C Jiang, BY Ni, X Han, YR Tao - Computer Methods in Applied Mechanics …, 2014 - Elsevier
In this paper, we propose a method for time-variant uncertainty analysis, namely, the “non-
probabilistic convex model process”, which provides an effective mathematical tool for the …

Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method

W Gao, D Wu, C Song, F Tin-Loi, X Li - Finite Elements in Analysis and …, 2011 - Elsevier
This paper presents a mixed perturbation Monte-Carlo method for static and reliability
analysis of structural systems with a mixture of random and interval parameters/loadings …

Construction of probability box model based on maximum entropy principle and corresponding hybrid reliability analysis approach

X Liu, X Wang, J **e, B Li - Structural and Multidisciplinary Optimization, 2020 - Springer
In this paper, a new method for constructing the probability box (p-box) model is developed
based on maximum entropy principle. The distribution characteristics of probability box …

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 concurrent design of dynamic structures under hybrid uncertainties

J Zheng, Z Luo, C Jiang, J Gao - Mechanical Systems and Signal …, 2019 - Elsevier
A new robust topology optimization method based on level sets is developed for the
concurrent design of dynamic structures composed of uniform periodic microstructures …

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 …