Identification and quantification of multivariate interval uncertainty in finite element models

DOI10.1016/j.cma.2016.11.023zbMath1439.65162OpenAlexW2559786178MaRDI QIDQ2308945

David Moens, Matthias Faes, J. Cerneels, Dirk Vandepitte

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://lirias.kuleuven.be/handle/123456789/554408

zbMATH Keywords

uncertainty quantificationfinite element modellingpossibilisticinterval fieldmultivariate uncertainty

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General methods in interval analysis (65G40)

Related Items (11)

Transient landing dynamics analysis for a lunar lander with random and interval fields ⋮ Some significant improvements for interval process model and non-random vibration analysis method ⋮ Novel solution framework for inverse problem considering interval uncertainty ⋮ Euler-Bernoulli interval finite element with spatially varying uncertain properties ⋮ Novel Nonprobabilistic Bayesian Uncertainty Quantification Method for Structures with Interval Parameters ⋮ A bivariate subinterval method for dynamic analysis of mechanical systems with interval uncertain parameters ⋮ Multivariate dependent interval finite element analysis via convex hull pair constructions and the extended transformation method ⋮ Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model ⋮ Hybrid spatial uncertainty analysis for the estimation of imprecise failure probabilities in laser sintered PA-12 parts ⋮ Structural eigenvalue analysis under the constraint of a fuzzy convex set model ⋮ A novel sensitivity index for analyzing the response of numerical models with interval inputs

Uses Software

• Qhull

Cites Work

• Unnamed Item
• The stochastic finite element method: past, present and future
• Static response bounds of Timoshenko beams with spatially varying interval uncertainties
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• Probabilistic finite element analysis of a craniofacial finite element model
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• A fuzzy procedure for the static design of imprecise structures
• Interval fields to represent uncertainty on the output side of a static FE analysis
• An efficient response surface based optimisation method for non-deterministic harmonic and transient dynamic analysis
• Numerical Optimization
• The quickhull algorithm for convex hulls
• Convex Polyhedra

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