Asymptotic Computation of Invariant Manifolds of large Finite Element structures with Geometric Nonlinearities
| Autor: | Vizzaccaro, Alessandra, Opreni, Andrea, Salles, Loic, Frangi, Attilio Alberto, Touzé, Cyril |
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| Přispěvatelé: | University of Bristol [Bristol], Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D), EDF (EDF)-EDF (EDF), Touzé, Cyril |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | ENOC 2020+2, 10th European Nonlinear Dynamics Conference ENOC 2020+2, 10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France |
| Popis: | International audience; In this contribution we present a method to directly compute asymptotic expansion of invariant manifolds of large finite element models from physical coordinates and their reduced order dynamics on the manifold. We show the accuracy of the reduction method on selected models, exhibiting large rotations and internal resonances. The results obtained with the reduction compared to full-order harmonic balance simulations show that the proposed methodology can reproduce extremely accurately the dynamics of the original systems with a very low computational cost. |
| Databáze: | OpenAIRE |
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