Abstract
The flutter that spontaneously appears when a flexible plate is immersed in a parallel flow is addressed both experimentally and theoretically. Linear stability of the plate is analyzed using a model of one-dimensional flutter coupled with a three-dimensional potential flow. The analysis leads to results in quantitative agreement with the experiments. The coupled flutter of parallel plates is also considered. A similar, but simplified, model shows that the problem is then reduced to a system of linearly coupled oscillators which is in agreement with the coupled flutter modes observed in the experiments.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Eloy C, Souilliez C, Schouveiler L (2007) Flutter of a rectangular plate. J Fluids Struct 23:904–919
Eloy C, Lagrange R, Souilliez C, Schouveiler L (2008) Aeroelastic instability of cantilevered flexible plates in uniform flow. J Fluid Mech 611:97–106
Farnell DJJ, David T, Barton DC (2004) Coupled states of flapping flags. J Fluids Struct 19:29–36
Guo CQ, Païdoussis MP (2000) Analysis of hydroelastic instabilities of rectangular parallel-plate assemblies. ASME J Press Vessel Technol 122:502–508
Huang WX, Shin SJ, Sung HJ (2007) Simulation of flexible filaments in a uniform flow by the immersed boundary method. J Comput Phys 226:2206–2228
Jia LB, Li F, Yin XZ, Yin XY (2007) Coupling modes between two flapping filaments. J Fluid Mech 581:199–220
Kornecki A, Dowell EH, O’Brien J (1976) On the aeroelastic instability of two-dimensional panels in uniform incompressible flow. J Sound Vib 47:163–178
Lemaitre C, Hémon P, de Langre E (2005) Instability of a long ribbon hanging in axial air flow. J Fluids Struct 20:913–925
Lighthill MJ (1960) Note on the swimming of slender fish. J Fluid Mech 9:305–317
Michelin S, Llewellyn SG (2009) Linear stability analysis of coupled parallel flexible plates in an axial flow. J Fluids Struct 25:1136–1157
Païdoussis MP (2004) Fluid-structure interaction: slender structures and axial flow, vol 2. Elsevier Academic Press, New York
Rayleigh L (1879) On the instability of jets. Proc London Math Soc 10:4–13
Schouveiler L, Eloy C (2009) Coupled flutter of parallel plates. Phys Fluids 21:08703
Shelley MJ, Zhang J (2011) Flapping and bending bodies interacting with fluid flows. Annu Rev Fluid Mech 43:449–465
Taneda S (1968) Waving motions of flags. J Phys Soc Jpn 24:392–401
Theodorsen T (1935) General theory of aerodynamics instability and the mechanism of flutter. NACA Report 496
Wang SY, Yin XZ (2010) A numerical method to simulate the coupled oscillations of flexible structures in flowing fluids. Chin Sci Bull 55:3880–3888
Watanabe Y, Isogai K, Suzuki S, Sugihara M (2002) A theoretical study of paper flutter. J Fluids Struct 16:543–560
Zhang J, Childress S, Libchaber A, Shelley M (2000) Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind. Nature 408:835–839
Zhu LD, Peskin CS (2003) Interaction of two flapping filaments in a flowing soap film. Phys Fluids 15:1954–1960
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Schouveiler, L., Eloy, C. (2012). Flapping Plate(s). In: Klapp, J., Cros, A., Velasco Fuentes, O., Stern, C., Rodriguez Meza, M. (eds) Experimental and Theoretical Advances in Fluid Dynamics. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17958-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-17958-7_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17957-0
Online ISBN: 978-3-642-17958-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)