Modern Monte Carlo methods for efficient uncertainty quantification and propagation: A survey

J Zhang - Wiley Interdisciplinary Reviews: Computational …, 2021 - Wiley Online Library
Uncertainty quantification (UQ) includes the characterization, integration, and propagation of
uncertainties that result from stochastic variations and a lack of knowledge or data in the …

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 …

An efficient reliability analysis method for structures with hybrid time-dependent uncertainty

K Zhang, N Chen, P Zeng, J Liu, M Beer - Reliability Engineering & System …, 2022 - Elsevier
Performing time-dependent reliability analysis is an effective way to estimate the failure
probability of structural system throughout its lifetime. In the engineering practices, uncertain …

Estimation of failure probability function under imprecise probabilities by active learning–augmented probabilistic integration

C Dang, P Wei, J Song, M Beer - ASCE-ASME Journal of Risk and …, 2021 - ascelibrary.org
Imprecise probabilities have gained increasing popularity for quantitatively modeling
uncertainty under incomplete information in various fields. However, it is still a …

Non-intrusive stochastic analysis with parameterized imprecise probability models: II. Reliability and rare events analysis

P Wei, J Song, S Bi, M Broggi, M Beer, Z Lu… - Mechanical Systems and …, 2019 - Elsevier
Structural reliability analysis for rare failure events in the presence of hybrid uncertainties is
a challenging task drawing increasing attentions in both academic and engineering fields …

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 …

Polymorphic uncertainty quantification for engineering structures via a hyperplane modelling technique

Q Wang, Y Feng, D Wu, G Li, Z Liu, W Gao - Computer Methods in Applied …, 2022 - Elsevier
This paper proposes a hyperplane modelling technique aided polymorphic uncertainty
quantification strategy for various engineering applications. Accumulative experiences from …

[HTML][HTML] Efficient reliability analysis of complex systems in consideration of imprecision

J Salomon, N Winnewisser, P Wei, M Broggi… - Reliability Engineering & …, 2021 - Elsevier
In this work, the reliability of complex systems under consideration of imprecision is
addressed. By joining two methods coming from different fields, namely, structural reliability …

Differentiating effects of input aleatory and epistemic uncertainties on system output: A separating sensitivity analysis approach

M Wu, T **ahou, J Chen, Y Liu - Mechanical Systems and Signal …, 2022 - Elsevier
Sensitivity analysis (SA), aiming at identifying and prioritizing the most influential inputs to
output, has been extensively investigated in simulation-based system design under …

Fully decoupled reliability-based design optimization of structural systems subject to uncertain loads

MGR Faes, MA Valdebenito - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
Reliability-based optimization (RBO) offers the possibility of finding the best design for a
system according to a prescribed criterion while explicitly taking into account the effects of …