From linear to nonlinear PGD-based parametric structural dynamics
Article dans une revue avec comité de lecture
Auteur
ARGERICH MARTIN, Clara
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
111023 École Centrale de Nantes [ECN]
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
111023 École Centrale de Nantes [ECN]
Date
2019Journal
Comptes Rendus MécaniqueRésumé
The present paper analyzes different integration schemes of solid dynamics in the frequency domain involving the so-called Proper Generalized Decomposition – PGD. The last framework assumes for the solution a parametric dependency with respect to frequency. This procedure allowed introducing other parametric dependences related to loading, geometry, and material properties. However, in these cases, affine decompositions are required for an efficient computation of separated representations. A possibility for circumventing such difficulty consists in combining modal and harmonic analysis for defining an hybrid integration scheme. Moreover, such a procedure, as proved in the present work, can be easily generalized to address nonlinear parametric dynamics, as well as to solve problems with non-symmetric stiffness matrices, always operating in the domain of low frequencies.
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