A survey of non-probabilistic uncertainty treatment in finite element analysis

404 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Advanced line sampling for efficient robust reliability analysis (2015, methodology): “A detailed reasoning and discussion in this direction with an overview on available generalized models is provided in [14].45 In essence, a generalized model of uncertainty shall allow for imprecision in both the state variables of the system, denoted as θ, and the parameters of the probabilistic mo”
Interval model updating with irreducible uncertainty using the Kriging predictor (2011, methodology): “[5–9].”
Interval Finite Element Analysis using Interval Factor Method (2007, methodology): “Furthermore, in order to safely remove the higher order terms, IPM is only applicable to analyses with small intervals [ 10 ].”
Discussions on non-probabilistic convex modelling for uncertain problems (2017, methodology): “Also, the convex model approach presently has been applied in various areas in structural mechanics, such as finite element analysis [26, 27], non-probabilistic reliability analysis [5, 18, 28-31], uncertain optimization [32-37], hybrid reliability analysis [38-41], etc.”
Polynomial chaos expansion with random and fuzzy variables (2016, methodology): “The latter parameters can be modeled by fuzzy parameters [1,2], when the possible domain of variation is known; this approach has been successfully applied to determine the frequency response functions of uncertain dynamical systems [3–5].”