Application of interval fields to represent uncertainty at the output side of structural Finite Element analysis

Imholz, Maurice; Vandepitte, Dirk; Moens, David

doi:10.20906/cps/usm-2016-0057

Cited by 2 publications

(3 citation statements)

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“…9 increases, the applicability of this approach decreases, as the continuity of the coefficient fields rapidly decreases for higher order terms. More on this can be found in [21,22].…”

Section: Propagationmentioning

confidence: 96%

“…Previous research [21] indicated that for low order polynomials applied to plate based models, these coefficient fields exhibit a high degree of continuity, because of the correlated behaviour of the eigenfrequencies with respect to changing density in different points on the plate. This allows us to in turn model these coefficient fields by low order polynomials:…”

Section: Propagationmentioning

confidence: 99%

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Modelling of Material Parameter Uncertainty of Resonance Wood Used in Violins Using the Interval Field

Imholz¹,

Vandepitte²,

Moens³

2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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Abstract. The interval field method can be used to model spatial uncertainty in finite element models. When analysing spatial uncertainty, dependency is an important quantity to consider, as it is physically implausible to assume a quantity is independent in locations that are close to each other. The interval field method was introduced to join this concept of dependency with classical interval analysis, omitting the need to define probability distributions. This paper will apply the theory of interval field (IF) to the dynamical properties of a violin top plate, with uncertain stiffness and density.

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“…9 increases, the applicability of this approach decreases, as the continuity of the coefficient fields rapidly decreases for higher order terms. More on this can be found in [21,22].…”

Section: Propagationmentioning

confidence: 96%

Section: Propagationmentioning

confidence: 99%

Modelling of Material Parameter Uncertainty of Resonance Wood Used in Violins Using the Interval Field

Imholz¹,

Vandepitte²,

Moens³

2017

Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECO

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show abstract

“…For example, the coefficients corresponding to the parameter value in adjacent elements have to be quite similar. The fact that the coefficients are correlated in space leads to a response surface description in terms of the spatial coordinates x and y, which the authors introduced earlier in [5], and is given by equation 9.…”

Section: Propagating the Uncertainty: The Continuous Field Response Smentioning

confidence: 99%

Dynamical Analysis of Plate Models With Uncertain Structural Properties Using the Interval Field Method

Imholz¹,

Vandepitte²,

Moens³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. In uncertainty quantification, interval arithmetic provides an appropriate procedure when little knowledge is available on the nature of the probability distribution of uncertain or imprecise quantities. This commonly occurs in engineering applications due to subjective knowledge or incomplete availability of test data. Intervals are by definition unable to take into account dependent input and output quantities, which forces the assumption of independency when applying them. This is a severe limitation on the accuracy of the analysis as dependency is always present to some extent. The concept of interval fields (IF) [1] provides a solution by defining non-deterministic fields using interval parameters. In its simplest form [2], the field is expressed as a weighted sum of basis functions, the weights being modelled using interval parameters. The dependency within the field is then captured by the basis functions, which describe the spatial nature of dependency, whereas the magnitude of uncertainty is captured by the weights. Field parameters are usually associated to geometric quantities (such as plate thickness), but they can be applied generally whenever multiple uncertain input or output quantities are involved. Both at the input and output side of a numerical analysis, IF can be used for a more realistic description of the estimated uncertainty. At the input side, taking into account dependency reduces overestimation on the output uncertainty bounds. At the output side, it is important that a realistic uncertain set of output quantities is represented as closely as possible without adding conservatism, as this corrupts the results of possible postprocessing or follow-up analysis. The application of IF here provides an important step towards achieving this goal.This paper aims to apply IF to analyse structural Finite Element models with uncertain structural properties. The property of interest in this paper will be the E-modulus. The concept of IF will be used to model spatial dependency within this parameter and will lead to a more accurate estimation of the output uncertainty.

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Application of interval fields to represent uncertainty at the output side of structural Finite Element analysis

Cited by 2 publications

References 0 publications

Modelling of Material Parameter Uncertainty of Resonance Wood Used in Violins Using the Interval Field

Modelling of Material Parameter Uncertainty of Resonance Wood Used in Violins Using the Interval Field

Dynamical Analysis of Plate Models With Uncertain Structural Properties Using the Interval Field Method

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