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Comparison of nonlinear methods for reduced-order modeling of geometrically nonlinear structures
1 : Institute of Mechanical Science and Industrial Applications
(IMSIA, UMR EDF-CNRS-CEA-ENSTA ParisTech, Palaiseau, France)
ENSTA ParisTech
Unité de Mécanique, IMSIA 828 Boulevard des Maréchaux 91762 Palaiseau Cedex -
France
2 : Bristol university
University of Bristol, United Kingdom -
United Kingdom
3 : Laboratoire d'Ingénierie des Systèmes Physiques et Numériques
École Nationale Supérieure d'Arts et Métiers (ENSAM)
Arts et Métiers, Lille -
France
4 : Skolkovo Institute of Science and Technology
Moscow -
Russia
5 : Department of Civil and Environmental Engineering
Politecnico di Milano -
Italy
6 : ENSTA Paris
IMSIA, UMR 9219, CNRS, CEA, EDF, UNIVERSITY OF PARIS-SACLAY
IMSIA -
France
7 : Politecnico di Milano
* : Corresponding author
Milano -
Italy
The aim of this contribution is to review and compare three different methods that have been proposed in order to derive
reduced-order models for geometrically nonlinear structures, and relying on a nonlinear technique to better take into account the
nonlinearities of the initial problem. The three methods are: implicit condensation, quadratic manifold derived with modal derivatives, and projection onto an invariant manifold, tangent at the origin to the linear eigenspace of the master modes. The methods are briefly reviewed theoretically and then compared with dedicated examples.
