An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems

Renson, Ludovic; Deliège, Geoffrey; Kerschen, Gaëtan

doi:10.1007/s11012-014-9875-3

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Article (Scientific journals)

An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems

Renson, Ludovic; Deliège, Geoffrey; Kerschen, Gaëtan

2014 • In Meccanica, 49 (8), p. 1901-1916

Peer reviewed

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https://hdl.handle.net/2268/162025

DOI
10.1007/s11012-014-9875-3

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Keywords :

Nonlinear normal modes; Invariant manifolds; Nonconservative systems; Modal analysis; Finite element method

Abstract :

[en] This paper addresses the numerical computation of nonlinear normal modes defined as two-dimensional invariant manifolds in phase space. A novel finite-element-based algorithm, combining the streamline upwind Petrov-Galerkin method with mesh moving and domain prediction-correction techniques, is proposed to solve the manifold-governing partial differential equations. It is first validated using conservative examples through the comparison with a reference solution given by numerical continuation. The algorithm is then demonstrated on nonconservative examples.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Renson, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Deliège, Geoffrey ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

An effective finite-element-based method for the computation of nonlinear normal modes of nonconservative systems

Publication date :

2014

Journal title :

Meccanica

ISSN :

0025-6455

eISSN :

1572-9648

Publisher :

Kluwer Academic Publishers, Netherlands

Special issue title :

Nonlinear Dynamics and Control of Composites for Smart Engineering Design

Volume :

Issue :

Pages :

1901-1916

Peer reviewed :

Peer reviewed

Funders :

FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture

Available on ORBi :

since 24 January 2014

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