Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances
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 …
probabilistic finite element analysis and its application for the representation of parametric …
Recent trends in the modeling and quantification of non-probabilistic uncertainty
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 …
quantification. Both techniques for the forward propagation and inverse quantification of …
Transonic aeroelastic simulation for instability searches and uncertainty analysis
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 …
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 …
and solutions are made available for two cases. In the first case, the parameter vertex …
Multivariate Gaussian process emulators with nonseparable covariance structures
The Gaussian process regression model is a popular type of “emulator” used as a fast
surrogate for computationally expensive simulators (deterministic computer models). For …
surrogate for computationally expensive simulators (deterministic computer models). For …
A new interval uncertain optimization method for structures using Chebyshev surrogate models
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 …
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
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 …
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 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 …
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 …
(FRFs) of damped finite element (FE) models with fuzzy uncertain parameters. Part one of …