Comptes Rendus
Identification de la relation de dispersion dans les barres
[Identification of the dispersion relation in rods]
Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 849-855.

Dispersion and attenuation of longitudinal waves in elastic or weakly viscoelastic rods are measured by analysing the resonant frequencies present in the strain spectrum due to an unknown loading. The method takes the finite measuring time of the test into account. It is applied to an aluminium bar, in which the dispersion relation is identified very accurately at frequencies up to 60 kHz.

Une méthode de mesure de la dispersion et de l'amortissement des ondes longitudinales dans une barre élastique ou faiblement viscoélastique est présentée. Elle est fondée sur l'analyse des résonances présentes dans le spectre du signal de la déformation produite par un chargement indéterminé. Appliquée à une barre d'aluminium, elle permet la mesure de la dispersion pour des fréquences allant jusqu'à 60 kHz. On vérifie la grande qualité de la relation de dispersion ainsi obtenue en testant la précision du transport des ondes calculé avec cette relation.

Received:
Revised:
Published online:
DOI: 10.1016/S1631-0721(02)01541-3
Mot clés : ondes, relation de dispersion, module d'Young complexe, barres de Hopkinson, dynamique, traitement du signal
Keywords: waves, dispersion relation, complex Young's modulus, Hopkinson bar, dynamics, signal processing

Ramzi Othman 1; Robert H. Blanc 2; Marie-Noëlle Bussac 3; Pierre Collet 3; Gérard Gary 1

1 Laboratoire de mécanique des solides, UMR 7649, École polytechnique, 91128 Palaiseau, France
2 Trans.Waves, 150, cité Le Corbusier, 13008 Marseille, France
3 Centre de physique théorique, UMR 7644, École polytechnique, 91128 Palaiseau, France
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Ramzi Othman; Robert H. Blanc; Marie-Noëlle Bussac; Pierre Collet; Gérard Gary. Identification de la relation de dispersion dans les barres. Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 849-855. doi : 10.1016/S1631-0721(02)01541-3. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01541-3/

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