Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances

D Moens, M Hanss - Finite Elements in Analysis and Design, 2011 - Elsevier
The objective of this paper is to give a general overview of recent research activities on non-
probabilistic finite element analysis and its application for the representation of parametric …

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 …

Transonic aeroelastic simulation for instability searches and uncertainty analysis

KJ Badcock, S Timme, S Marques… - Progress in Aerospace …, 2011 - Elsevier
In this paper the use of eigenvalue stability analysis of very large dimension aeroelastic
numerical models arising from the exploitation of computational fluid dynamics is reviewed …

Interval model updating with irreducible uncertainty using the Kriging predictor

HH Khodaparast, JE Mottershead… - Mechanical Systems and …, 2011 - Elsevier
Interval model updating in the presence of irreducible uncertain measured data is defined
and solutions are made available for two cases. In the first case, the parameter vertex …

Multivariate Gaussian process emulators with nonseparable covariance structures

TE Fricker, JE Oakley, NM Urban - Technometrics, 2013 - Taylor & Francis
The Gaussian process regression model is a popular type of “emulator” used as a fast
surrogate for computationally expensive simulators (deterministic computer models). For …

A new interval uncertain optimization method for structures using Chebyshev surrogate models

J Wu, Z Luo, N Zhang, Y Zhang - Computers & Structures, 2015 - Elsevier
This paper proposes a new non-probabilistic interval uncertain optimization methodology for
structures. The uncertain design problem is often formulated as a double-loop optimization …

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 …

A sequential simulation strategy for response bounds analysis of structures with interval uncertainties

BY Ni, C Jiang, PG Wu, ZH Wang, WY Tian - Computers & Structures, 2022 - Elsevier
Prediction of response bounds of structures with interval uncertainties is a major concern in
interval finite element analysis. In many cases, the structural response is a variable …

Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures

D Moens, D Vandepitte - Computer methods in applied mechanics and …, 2007 - Elsevier
This paper introduces the new concept of interval sensitivities applicable in the general
context of numerical interval analysis. The interval sensitivities represent a measure for the …

A fuzzy finite element procedure for the calculation of uncertain frequency-response functions of damped structures: Part 1—Procedure

D Moens, D Vandepitte - Journal of sound and vibration, 2005 - Elsevier
This work introduces a numerical algorithm to calculate frequency-response functions
(FRFs) of damped finite element (FE) models with fuzzy uncertain parameters. Part one of …