Flutter phenomena of flexible thin sheets such as paper swept by wind are studied for a wide range of mass ratios by an analytical method developed by the authors. The analytical results explain well the tendencies found in the experimental data. Furthermore, the flutter behaviors for very low mass ratios are predicted to tend to deviate far from those for ordinarily stiff materials, which are attributed to the effects of both the fluid friction and the added mass effect by surrounding fluid in addition to the ordinary governing effects for higher mass ratios, i.e., elasticity, inertia force, and fluid pressure. [S0098-2202(00)01201-3]

1.
Yamaguchi
,
N.
,
Yokota
,
K.
, and
Tsujimoto
,
Y.
,
2000
. “
Flutter Limits and Behaviors of a Flexible Thin Sheet in High-Speed Flow—I: Analytical Method for Prediction of the Sheet Behavior
,”
ASME J. Fluids Eng.
,
122
, pp.
65
73
.
2.
Hoerner, S. F., 1965, Fluid-Dynamic Drag, Hoerner Fluid Dynamics, Brick Town, NJ, pp. 3–25.
3.
Taneda, S., 1966, “Drag of Fluttering Cloths,” Preprints of the 21st Meeting of Physical Society of Japan, p. 91 (in Japanese).
4.
Taneda
,
S.
,
1968
, “
Wave Motions of Flags
,”
J. Phys. Soc. Jpn.
,
24
, pp.
329
401
.
5.
Sparenberg
,
J. A.
,
1962
, “
On the Waving Motion of a Flag
,”
Proc. Ned. Akad. Sci. Ser. B
,
65
, pp.
378
392
.
6.
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
.
7.
Yamaguchi, N., Sekiguchi, T., and Ogata, M., 1998, “Effects of Disturbances on Flutter Speed of Flexible Thin Sheets Blown in Air Flow,” Preprints of Japan Society of Mechanical Engineers, No. 98-1, pp. III 17–18.
8.
Yamaguchi, N., Sekiguchi, T., Tsujimoto, Y., and Yokota, K., 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, pp. 305–306.
9.
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
.
10.
Huang
,
L.
,
1995
, “
Flutter of Cantilevered Plates in Axial Flow
,”
J. Fluids Struct.
,
9
, pp.
127
147
.
11.
Watanabe, Y., Isogal, 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.
12.
Yamaguchi, N., 1999, “Regions Predominated by Bending Modes and Tension Modes in the Flutter Phenomena of Thin Sheet or Web in Flow,” Research Bulletin of Meisei University, Faculty of Physical Sciences and Engineering, No. 35, pp. 31–37.
13.
Yamaguchi, N., 1997, “Prediction of Stability Limits and Fluttering Behavior of a Flexible Thin Sheet in High Speed Flow,” International Conference of Fluids Engineering, Japan Society of Mechanical Engineers, Tokyo, ICFE-97-1109, No. 97-203, Vol. 1, pp. 527–532.
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