Hostname: page-component-7dd5485656-jtdwj Total loading time: 0 Render date: 2025-11-02T14:28:55.306Z Has data issue: false hasContentIssue false
  • English
  • Français

Aeroelastic instability of cantilevered flexible plates in uniform flow

Published online by Cambridge University Press:  25 September 2008

CHRISTOPHE ELOY ,
ROMAIN LAGRANGE ,
CLAIRE SOUILLIEZ  and
LIONEL SCHOUVEILER
CHRISTOPHE ELOY
Affiliation:
IRPHE, CNRS & Aix-Marseille Université, 49 rue Joliot-Curie, 13013 Marseille, France
ROMAIN LAGRANGE
Affiliation:
IRPHE, CNRS & Aix-Marseille Université, 49 rue Joliot-Curie, 13013 Marseille, France
CLAIRE SOUILLIEZ
Affiliation:
IRPHE, CNRS & Aix-Marseille Université, 49 rue Joliot-Curie, 13013 Marseille, France
LIONEL SCHOUVEILER
Affiliation:
IRPHE, CNRS & Aix-Marseille Université, 49 rue Joliot-Curie, 13013 Marseille, France
Get access Rights & Permissions [Opens in a new window]

Abstract

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilizing pressure forces and stabilizing bending stiffness. In previous experimental studies, the plates have always appeared much more stable than the predictions of two-dimensional models. This discrepancy is discussed and clarified in this paper by examining experimentally and theoretically the effect of the plate aspect ratio on the instability threshold. We show that the two-dimensional limit cannot be achieved experimentally because hysteretical behaviour and three-dimensional effects appear for plates of large aspect ratio. The nature of the instability bifurcation (sub- or supercritical) is also discussed in the light of recent numerical results.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 611 , 25 September 2008 , pp. 97 - 106
Copyright
Copyright © Cambridge University Press 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

Alben, S. & Shelley, M. J. 2008 Flapping states of a flag in an inviscid fluid: Bistability and the transition to chaos. Phys. Rev. Lett. 100, 074301.CrossRefGoogle Scholar
Balint, T. S. & Lucey, A. D. 2005 Instability of a cantilevered flexible plate in viscous channel flow. J. Fluids Struct. 20, 893–912.CrossRefGoogle Scholar
Bisplinghoff, R. L., Ashley, H. & Halfman, R. L. 1983 Aeroelasticity. Dover.Google Scholar
Crighton, D. G. 1985 The Kutta condition in unsteady flow. Annu. Rev. Fluid Mech. 17, 411–445.CrossRefGoogle Scholar
Datta, S. K. & Gottenberg, W. G. 1975 Instability of an elastic strip hanging in an airstream. J. Appl. Mech. pp. 195–198.CrossRefGoogle Scholar
Eloy, C., Souilliez, C. & Schouveiler, L. 2007 Flutter of a rectangular plate. J. Fluids Struct. 23, 904–919.CrossRefGoogle Scholar
Guo, C. Q. & Païdoussis, M. P. 2000 Stability of rectangular plates with free side-edges in two-dimensional inviscid channel flow. Trans. ASME: J. Appl. Mech. 67, 171–176.CrossRefGoogle Scholar
Huang, L. 1995 Flutter of cantilevered plates in axial flow. J. Fluids Struct. 9, 127–147.CrossRefGoogle Scholar
Kornecki, A., Dowell, E. H. & O'Brien, J. 1976 On the aeroelastic instability of two-dimensional panels in uniform incompressible flow. J. Sound Vib. 47, 163–178.CrossRefGoogle Scholar
Landau, L. D. & Lifschitz, E. M. 1986 Theory of Elasticity. Pergamon.Google Scholar
Lemaitre, C., Hémon, P. & de Langre, E. 2005 Instability of a long ribbon hanging in axial air flow. J. Fluids Struct. 20, 913–925.CrossRefGoogle Scholar
Lighthill, M. J. 1960 Note on the swimming of slender fish. J. Fluid Mech. 9, 305–317.CrossRefGoogle Scholar
Païdoussis, M. P. 2004 Fluid-Structure Interactions: Slender Structures And Axial Flow, Volume 2. Elsevier.Google Scholar
Rayleigh, Lord 1879 On the instability of jets. Proc. Lond. Math. Soc. X, 4–13.Google Scholar
Shayo, L. W. 1980 The stability of cantilever panels in uniform incompressible flow. J. Sound Vib. 68, 341–350.CrossRefGoogle Scholar
Shelley, M., Vandenberghe, N. & Zhang, J. 2005 Heavy flags undergo spontaneous oscillations in flowing water. Phys. Rev. Lett. 94, 094302.CrossRefGoogle ScholarPubMed
Taneda, S 1968 Waving motions of flags. J. Phys. Soc. Japan 24 (2), 392–401.CrossRefGoogle Scholar
Tang, D. M., Yamamoto, H. & Dowell, E. H. 2003 Flutter and limit cycle oscillations of two-dimensional panels in three-dimensional axial flow. J. Fluids Struct. 17, 225–242.CrossRefGoogle Scholar
Tang, L. & Païdoussis, M. P. 2007 On the instability and the post-critical behaviour of two-dimensional cantilevered flexible plates in axial flow. J. Sound Vib. 305, 97–115.CrossRefGoogle Scholar
Theodorsen, T. 1935 General theory of aerodynamic instability and the mechanism of flutter. Tech. Rep. TR-496. NACA.Google Scholar
Watanabe, Y., Isogai, K., Suzuki, S. & Sugihara, 2002 a A theoretical study of paper flutter. J. Fluids Struct. 16, 543–560.CrossRefGoogle Scholar
Watanabe, Y., Suzuki, S., Sugihara, M. & Sueoka, Y. 2002 b An experimental study of paper flutter. J. Fluids Struct. 16, 529–542.CrossRefGoogle Scholar
Yadykin, Y., Tenetov, V. & Levin, D. 2001 The flow-induced vibration of a flexible strip hanging vertically in a parallel flow, part 1: temporal aeroelastic instability. J. Fluids Struct. 15, 1167–1185.CrossRefGoogle Scholar
Yamaguchi, N., Sekiguchi, T., Yokota, K. & Tsujimoto, Y. 2000 Flutter limits and behavior of a flexible thin sheet in high-speed flow–II: Experimental results and predicted behaviors for low mass ratios. Trans. ASME: J. Fluids Engng 122, 74–83.Google Scholar