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 …

Uncertainty quantification for structural response field with ultra-high dimensions

L Cao, Y Zhao - International Journal of Mechanical Sciences, 2024 - Elsevier
The structural response field is crucial for understanding mechanical behavior, especially
under uncertain conditions. However, current uncertainty quantification predominantly …

A multivariate interval approach for inverse uncertainty quantification with limited experimental data

M Faes, M Broggi, E Patelli, Y Govers… - … Systems and Signal …, 2019 - Elsevier
This paper introduces an improved version of a novel inverse approach for the quantification
of multivariate interval uncertainty for high dimensional models under scarce data …

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 …

An interval finite element method for the analysis of structures with spatially varying uncertainties

A Sofi, E Romeo, O Barrera, A Cocks - Advances in Engineering Software, 2019 - Elsevier
Finite element analysis of linear-elastic structures with spatially varying uncertain properties
is addressed within the framework of the interval model of uncertainty. Resorting to a …

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 …

Interval parameter sensitivity analysis based on interval perturbation propagation and interval similarity operator

Y Zhao, X Li, S Cogan, J Zhao, J Yang, D Yang… - Structural and …, 2023 - Springer
An interval parameter sensitivity analysis is developed to quantify the impact of simulation
model parameters on the model outputs. This sensitivity analysis contains two main steps …

A novel sensitivity index for analyzing the response of numerical models with interval inputs

Q Chang, C Zhou, MA Valdebenito, H Liu… - Computer Methods in …, 2022 - Elsevier
This study proposes a novel sensitivity index to provide essential insights into numerical
models whose inputs are characterized by intervals. Based on the interval model and its …

The sub-interval similarity: A general uncertainty quantification metric for both stochastic and interval model updating

Y Zhao, J Yang, MGR Faes, S Bi, Y Wang - Mechanical Systems and Signal …, 2022 - Elsevier
One of the key challenges of uncertainty analysis in model updating is the lack of
experimental data. The definition of an appropriate uncertainty quantification metric, which is …

Identification and quantification of spatial interval uncertainty in numerical models

M Faes, D Moens - Computers & Structures, 2017 - Elsevier
This paper presents a novel methodology for the identification and quantification of spatial
uncertainty, modelled as an interval field. In order to make a realistic assessment of the …