[HTML][HTML] Stochastic model updating with uncertainty quantification: an overview and tutorial

S Bi, M Beer, S Cogan, J Mottershead - Mechanical Systems and Signal …, 2023 - Elsevier
This paper presents an overview of the theoretic framework of stochastic model updating,
including critical aspects of model parameterisation, sensitivity analysis, surrogate …

Sampling methods for solving Bayesian model updating problems: A tutorial

A Lye, A Cicirello, E Patelli - Mechanical Systems and Signal Processing, 2021 - Elsevier
This tutorial paper reviews the use of advanced Monte Carlo sampling methods in the
context of Bayesian model updating for engineering applications. Markov Chain Monte …

Recent trends in the modeling and quantification of non-probabilistic uncertainty

M Faes, D Moens - Archives of Computational Methods in Engineering, 2020 - Springer
This paper gives an overview of recent advances in the field of non-probabilistic uncertainty
quantification. Both techniques for the forward propagation and inverse quantification of …

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 …

Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review

H Zhao, C Fu, Y Zhang, W Zhu, K Lu… - Computer Methods in …, 2024 - Elsevier
Quantitative analysis and optimal design under uncertainty are active research areas in
modern engineering structures and systems. A metamodel, as an effective mathematical …

[HTML][HTML] From inference to design: A comprehensive framework for uncertainty quantification in engineering with limited information

A Gray, A Wimbush, M de Angelis, PO Hristov… - … Systems and Signal …, 2022 - Elsevier
In this paper we present a framework for addressing a variety of engineering design
challenges with limited empirical data and partial information. This framework includes …

A new non-probabilistic time-dependent reliability model for mechanisms with interval uncertainties

Q Chang, C Zhou, P Wei, Y Zhang, Z Yue - Reliability Engineering & …, 2021 - Elsevier
This paper proposes a new non-probabilistic time-dependent reliability model for evaluating
the kinematic reliability of mechanisms when the input uncertainties are characterized by …

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 …

Efficient non-probabilistic parallel model updating based on analytical correlation propagation formula and derivative-aware deep neural network metamodel

J Mo, WJ Yan, KV Yuen, M Beer - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Non-probabilistic convex models are powerful tools for structural model updating with
uncertain‑but-bounded parameters. However, existing non-probabilistic model updating …

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 …