2023 • In Brake, Matthew R.W. (Ed.) Nonlinear Structures and Systems, Volume 1 - Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
Direct parametrisation; Invariant manifold; Large-scale FE models; Reduced-order modelling; Asymptotic expansion; Direct parametrization; FE model; Finite element modelling (FEM); Invariant manifolds; Large-scale FE model; Large-scales; Parametrizations; Reduced order modelling; Reduced-order model; Engineering (all); Computational Mechanics; Mechanical Engineering
Abstract :
[en] 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 on selected models, exhibiting large rotations and internal resonances. The results obtained with the reduction are compared to full-order harmonic balance simulations obtained by continuation of the forced response. We also illustrate the low computational cost of the present implementation for increasing order of the asymptotic expansion and increasing number of degrees of freedom in the structure. The results presented show that the proposed methodology can reproduce extremely accurately the dynamics of the systems with a very low computational cost.
Disciplines :
Mechanical engineering
Author, co-author :
Vizzaccaro, Alessandra; Imperial College London, London, United Kingdom ; University of Bristol, Bristol, United Kingdom
Opreni, Andrea; Politecnico di Milano, Milano, Italy
Salles, Loïc ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Imperial College London, London, United Kingdom ; Skolkovo Institute of Science and Technology, Moscow, Russian Federation
Frangi, Attilio; Politecnico di Milano, Milano, Italy
Touzé, Cyril; ENSTA Paris – CNRS – EDF – CEA – Institut Polytechnique de Paris, Palaiseau, France
Language :
English
Title :
Higher-Order Invariant Manifold Parametrisation of Geometrically Nonlinear Structures Modelled with Large Finite Element Models
Publication date :
2023
Event name :
40th IMAC, A Conference and Exposition on Structural Dynamics 2022
Event organizer :
Society for Experimental Mechanics Series
Event place :
Orlando, Usa
Event date :
07-02-2022 => 10-02-2022
Audience :
International
Main work title :
Nonlinear Structures and Systems, Volume 1 - Proceedings of the 40th IMAC, A Conference and Exposition on Structural Dynamics, 2022
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