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Communication Dans Un Congrès Année : 2024

Parametric model reduction for broad-band frequency analysis of nearly periodic structures

Jean-Mathieu Mencik

Résumé

This paper addresses the dynamic analysis of nearly periodic structures composed of substructures (cells) with varying properties. This may concern 2D or 3D substructures subjected to geometric modifications (mesh variations) or more standard parametric changes. In parametric model order reduction, reduced matrices of substructures can be interpolated over a multi-dimensional parametric space. Also, an interface reduction between the substructures can be proposed in which the vectors of interface degrees of freedom are described using the interface modes of an equivalent purely periodic structure. To improve the accuracy of the interpolation strategy at high frequencies, basis enrichment techniques are proposed. Within this framework, high-order static modes are used to enrich the basis of component modes of the substructures. Also, static correction vectors are used to enrich the basis of interface modes to account for the varying properties of the substructures.
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Dates et versions

hal-04685418 , version 1 (03-09-2024)

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  • HAL Id : hal-04685418 , version 1

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Jean-Mathieu Mencik. Parametric model reduction for broad-band frequency analysis of nearly periodic structures. The 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), Jun 2024, Lisbao, Portugal. ⟨hal-04685418⟩
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