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Asymptotic Computation of Invariant Manifolds of large Finite Element structures with Geometric Nonlinearities

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Alessandra Vizzaccaro
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  • PersonId : 1104925
Andrea Opreni
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  • PersonId : 1105192
Loic Salles
Attilio Alberto Frangi
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  • PersonId : 1039306

Abstract

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.
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Dates and versions

hal-03778411 , version 1 (15-09-2022)

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  • HAL Id : hal-03778411 , version 1

Cite

Alessandra Vizzaccaro, Andrea Opreni, Loic Salles, Attilio Alberto Frangi, Cyril Touzé. Asymptotic Computation of Invariant Manifolds of large Finite Element structures with Geometric Nonlinearities. ENOC 2020+2, 10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France. ⟨hal-03778411⟩
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