PGD reduced-order modeling for structural dynamics applications
| Autor: | Serge Prudhomme, Clément Vella |
|---|---|
| Přispěvatelé: | Laboratoire de Mécanique, Multiphysique, Multiéchelle - UMR 9013 (LaMcube), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics and Industrial Engineering, École Polytechnique de Montréal, École Polytechnique de Montréal (EPM), Discovery Grant from the Natural Sciences and Engineering Research Council of Canada [grant number RGPIN-2019-7154] |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
Computational Engineering
Finance and Science (cs.CE) FOS: Computer and information sciences Law of Conservation of Energy Mechanics of Materials Mechanical Engineering Wave Equation [INFO.INFO-CE]Computer Science [cs]/Computational Engineering Finance and Science [cs.CE] Computational Mechanics General Physics and Astronomy Computer Science - Computational Engineering Finance and Science Proper Generalized Decomposition Lagrangian and Hamiltonian Mechanics Computer Science Applications |
| Zdroj: | Computer Methods in Applied Mechanics and Engineering Computer Methods in Applied Mechanics and Engineering, 2022, 402, pp.115736. ⟨10.1016/j.cma.2022.115736⟩ |
| ISSN: | 0045-7825 |
| DOI: | 10.1016/j.cma.2022.115736⟩ |
| Popis: | International audience; We propose in this paper a Proper Generalized Decomposition (PGD) approach for the solution of problems in linear elastodynamics. The novelty of the work lies in the development of weak formulations of the PGD problems based on the Lagrangian and Hamiltonian Mechanics, the main objective being to devise numerical methods that are numerically stable and energy conservative. We show that the methodology allows one to consider the Galerkin-based version of the PGD and numerically demonstrate that the PGD solver based on the Hamiltonian formulation offers better stability and energy conservation properties than the Lagrangian formulation. The performance of the two formulations is illustrated and compared on several numerical examples describing the dynamical behavior of a one-dimensional bar. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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