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TECHNICAL PAPERS

Flutter Limits and Behaviors of a Flexible Thin Sheet in High-Speed Flow— I: Analytical Method for Prediction of the Sheet Behavior

[+] Author and Article Information
Nobuyuki Yamaguchi

Department of Mechanical Engineering, Meisei University, Hino City, Tokyo 191-8506, Japan

Kazuhiko Yokota

Yoshinobu Tsujimoto

Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University, Toyonaka City 560-8531, Japan

J. Fluids Eng 122(1), 65-73 (Nov 15, 1999) (9 pages) doi:10.1115/1.483242 History: Received March 15, 1999; Revised November 15, 1999
Copyright © 2000 by ASME
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References

Theodorsen, T., 1935, “General Theory of Aerodynamic Instability and the Mechanism of Flutter,” NACA Report No. 496.
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Fung, Y. C., 1995, An Introduction to the Theory of Aeroelasticity, Wiley, New York.
Bisplinghoff, R. L., and Ashley, H., 1962, Principles of Aeroelasticity, Wiley, New York.
Dowell, E. H., 1975, Aeroelasticity of Plates and Shells, Noordhoff International Publishing, Leyden, The Netherlands.
Dowell, E. H., Curtiss, Jr., H. C., Scanlan, R. H., and Sisto, F., 1989, A Modern Course in Aeroelasticity, Kluwer Academic, The Netherlands.
Lucey,  A. D., Cafolla,  P. W., Carpenter,  P. W., and Yang,  M., 1997, “The Nonlinear Hydroelastic Behavior of Flexible Walls,” J. Fluids Structures, 11, pp. 717–744.
Sparenberg,  J. A., 1962, “On the waving Motion of a Flag,” Proc. Ned. Akad. Sci. Ser., B65, pp. 378–392.
Taneda, S., 1966, “Drag of Fluttering Cloths,” Preprints of the 21st Meeting of the Physical Society of Japan, p. 91 (in Japanese).
Taneda,  S., 1969, “Wave Motions of Flags,” J. Phys. Soc. Jpn., 24, pp. 329–401.
Datta,  S. K., and Gottenberg,  W. G., 1975, “Instability of an Aeroelastic Strip Hanging in an Airstream,” ASME J. Appl. Mech., 42, pp. 195–198.
Huang,  L. J., 1995, “Flutter of Cantilevered Plates in Axial Flow,” J. Fluids Structures, 9, pp. 127–147.
Watanabe, Y., Isogai, K., and Sugihara, M., 1995, “Basic Study of Flutter Mechanism of Paper Sheet,” Preprints of Japan Society of Mechanical Engineers, No. 95-10 (V) pp. 145–146.
Suzuki, Y., and Kaneko, S., 1997, “Flutter of Paper Sheet with Tensile Force,” Preprints of Japan Society of Mechanical Engineers, No. 97-10 (B), pp. 115–116.
Vollan, A., 1999, private communication.
Yamaguchi, N., 1995, “Fluttering Behavior of a Flexible Thin Sheet of Paper in High Speed Flow, The First Report: A Theoretical Method for Prediction of the Behavior of the Sheet for Infinitesimally Small Perturbed Motion,” Preprints of Japan Society of Mechanical Engineers, No. 95-1, pp. 189–190.
Yamaguchi, N., 1996, “Fluttering Behavior of a Flexible Thin Sheet of Paper in High Speed Flow, The First Report: A Theoretical Method for Prediction of the Behavior of the Sheet for Infinitesimally Small Perturbed Motion,” Research Bulletin of Meisei University, Faculty of Physical Sciences and Engineering, Vol. 32, pp. 19–36.
Yamaguchi, N., 1997, “Prediction of Stability Limits and Fluttering Behavior of a Flexible Thin Sheet in High Speed Flow,” International Conference on Fluids Engineering, Japan Society of Mechanical Engineers, ICFE-97-1109, No. 97-203, Vol. 1, pp. 527–532.
Yamaguchi, N., Sekiguchi, T., and Ogata, M., 1998, “Effects of Disturbances on Flutter Speed of Flexible Thin Sheets Blown in Air Flow,” Preprint of Japan Society of Mechanical Engineers, No. 98-1 (III), pp. 17–18.
Yamaguchi, N., 1998, “Effects of Fluid Friction on the Flutter Behaviors of Flexible Thin Sheets in Air Flow,” Preprints of Japan Society of Mechanical Engineers, No. 98-15 (III), pp. 305–306.
Yokota, K., Hidaka, S., Kawamura, S., Tsujimoto, Y., Yamaguchi, N., and Yamaji, C., 1998, “A Study of the Flutter of Flexible Sheets Cantilevered at Upstream Ends in Free Streams,” Preprints of Japan Society of Mechanical Engineers, No. 98-1 (III), pp. 117–118.
Yamaguchi,  N.,, Yokota,  K., and Tsujimoto,  Y., 1999, “Flutter Limits and Behavior of a Flexible Thin Sheet in High Speed Flow, (1) Analytical Method for Prediction of the Sheet Behavior,” Trans. Jpn. Soc. Mech. Eng., Ser. B, 65, pp. 1224–1231.
Yamaguchi,  N., Sekiguchi,  T., Yokota,  K., and Tsujimoto,  Y., 1999, “Flutter Limits and Behavior of a Flexible Thin Sheet in High Speed Flow, (2) Experimental Results and Predicted Behaviors for Low Mass Ratios,” Trans. Jpn. Soc. Mech. Eng., Ser. B, 65, pp. 1232–1239.
Yamaguchi,  N., Sekiguchi,  T., Yokota,  K., and 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,” ASME J. Fluids Eng. 122, pp. 74–83.

Figures

Grahic Jump Location
(a) A fluttering sheet and (b) Distribution of the displacements and inclinations of the sheet
Grahic Jump Location
(a) Simulation of the flow by vortices and (b) The distribution of the vortices
Grahic Jump Location
Relation between the surface vortices and the velocity difference across the sheet
Grahic Jump Location
Balance of forces and moments on short segment “i”
Grahic Jump Location
Matching condition of the flow and the sheet surface at point “ic”
Grahic Jump Location
Calculated results on fluttering behaviors for flutter limits for mass ratios of 2.92 (a) and 0.04 (b)

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