Comptes Rendus
no. 12
Identification de la relation de dispersion dans les barres
Ramzi Othman1 ; Robert H. Blanc2 ; Marie-Noëlle Bussac3 ; Pierre Collet3 ; Gérard Gary1
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
Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 849-855.

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.

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.

Reçu le :
Révisé le :
Publié le :
DOI : 10.1016/S1631-0721(02)01541-3
Mots-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/

[1] R.H. Blanc Transient wave propagation methods for determining the viscoelastic properties of solids, J. Appl. Mech, Volume 60 (1993) no. 3, pp. 763-768

[2] B. Lundberg; R.H. Blanc Determination of mechanical material properties from the two-point response of an impacted linearly viscoelastic rod specimen, J. Sound Vib, Volume 137 (1988), pp. 483-493

[3] P.S. Follansbee; C. Frantz Wave propagation in the split Hopkinson pressure bar, J. Engrg. Mater. Tech, Volume 105 (1983) no. 61, pp. 61-66

[4] D.A. Gorham A numerical method for the correction of dispersion in pressure bar signals, J. Phys. E, Volume 16 (1983), pp. 477-479

[5] J.C. Gong; L.E. Malvern; D.A. Jenkins Dispersion investigation in the split Hopkinson pressure bar, J. Engrg. Mater. Tech, Volume 112 (1990), pp. 309-314

[6] M.N. Bussac; P. Collet; G. Gary; R. Othman An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars, J. Mech. Phys. Solids, Volume 50 (2002), pp. 321-349

[7] D.A. Gorham; X.J. Wu An empirical method for correcting dispersion in pressure bar measurements of impact stress, Meas. Sci. Technol, Volume 7 (1996), pp. 1227-1232

[8] C. Bacon An experimental method for considering dispersion and attenuation in a viscoelastic Hopkinson Bar, Exper. Mech, Volume 38 (1998) no. 4, pp. 242-249

[9] L. Hillström; M. Mossberg; B. Lundberg Identification of complex modulus from measured strains on an axially impacted bar using least squares, J. Sound Vib, Volume 230 (2000) no. 3, pp. 689-707

[10] R.M. Davies A critical study of Hopkinson pressure bar, Philos. Trans. Roy. Soc. London Ser. A, Volume 240 (1948), pp. 375-457

[11] R. Othman; R.H. Blanc; M.N. Bussac; P. Collet; G. Gary A spectral method for wave dispersion analysis. Application to an aluminium rod (A. Chiba; S. Tanimura; K. Hokamoto, eds.), Impact Engineering and Application, Proceedings of the 4th International Symposium of Impact Engineering, Elsevier, 2001, pp. 71-76

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  • P. Collet; G. Gary; B. Lundberg Noise-Corrected Estimation of Complex Modulus in Accord With Causality and Thermodynamics: Application to an Impact Test, Journal of Applied Mechanics, Volume 80 (2013) no. 1 | DOI:10.1115/1.4007081
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  • R. Othman; G. Gary Testing Aluminum Alloy from Quasi-static to Dynamic Strain-rates with a Modified Split Hopkinson Bar Method, Experimental Mechanics, Volume 47 (2007) no. 2, p. 295 | DOI:10.1007/s11340-006-9023-7
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