n-dimensional Harmonic Balance Method extended to non-explicit nonlinearities - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics Année : 2006

n-dimensional Harmonic Balance Method extended to non-explicit nonlinearities

Résumé

The harmonic balance method is widely used for the analysis of strongly nonlinear problems under periodic excitation. The concept of \emph{hypertime} allows for the generalization of the usual formulation to multi-tone excitations. In this article, the method is applied to a system involving a nonlinearity which cannot be explicitly expressed in the multi-frequency domain in terms of harmonic coefficients. The direct and inverse Discrete Fast Fourier Transforms are then necessary to alternate between time and frequency domains in order to take into account this nonlinearity. The results show the efficiency and the precision of the method.
Fichier principal
Vignette du fichier
REMN2006HALv2.pdf (385.8 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00354486 , version 1 (19-01-2009)
hal-00354486 , version 2 (28-04-2009)

Licence

Paternité

Identifiants

Citer

Mathias Legrand, Sébastien Roques, Christophe Pierre, Patrice Cartraud, Bernard Peseux. n-dimensional Harmonic Balance Method extended to non-explicit nonlinearities. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2006, 15 (1-2-3), pp.269-280. ⟨10.3166/remn.15.269-280⟩. ⟨hal-00354486v2⟩
179 Consultations
462 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More