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On the dynamic motion of a thin flexible cylinder in a viscous stream

Published online by Cambridge University Press:  29 March 2006

C. R. Ortloff  and
J. Ives
C. R. Ortloff
Affiliation:
General Research Corporation, 6300 Hollister Avenue, P.O. Box 3587, Santa Barbara, California 93105
J. Ives
Affiliation:
General Research Corporation, 6300 Hollister Avenue, P.O. Box 3587, Santa Barbara, California 93105
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Abstract

The stability and time-dependent deflexions of a thin flexible cylinder with zero bending rigidity set in a viscous stream are examined. The cylinder is fixed at one end and free at the other. Modal shapes are found based on solutions to linearized equations resulting from small deflexion assumptions; the dependence of cylinder motion upon the aerodynamic, elastic and physical size characteristics of the cylinder is exhibited. It is found that the cylinder motion is always unstable and that cylinder amplitude increases without bound as time is increased.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 4 , 6 October 1969 , pp. 713 - 720
Copyright
© 1969 Cambridge University Press

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References

Bretherton, F. P., Carrier, G. F. & LONGUET-HIGGINS, M. S. 1966 J. Fluid Mech. 26, 393.
Calvert, R. T. 1968 M.S. Thesis, Dept. of Electrical Engineering, M.I.T.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Cowley, M. D. & Rosensweig, R. E. 1967 J. Fluid Mech. 30, 671.
Devitt, E. B. & Melcher, J. R. 1965 Phys. Fluids, 8, 1193.
Dupont De, Nemours, E. I. & COMPANY 1966 Freon Products Div. Technical Bulletin B-2, Wilmington, Delaware.
Fultz, D. 1959 J. Meteorology, 16, 199.
Grodzinsky, S. E. 1967 M.S. Thesis, Dept. of Electrical Engineering, M.I.T.
Guttman, D. S. 1967 M.S. Thesis, Dept. of Electrical Engineering, M.I.T.
Habip, L. M. 1967 Engineering Progress at the University of Florida, XXI, no. 2.
Kelvin, Lord 1910 Mathematical and Physical Papers IV, Hydrodynamics and General Dynamics. Cambridge University Press.
Lamb, Horace 1932 Hydrodynamics. New York: Dover.
Lighthill, M. J. 1966 J. Fluid Mech. 26, 411.
Melcher, J. R. 1963 Field-Coupled Surface Waves. Cambridge, Mass: MIT Press.
Melcher, J. R., Guttman, D. S. & Hurwitz, M. 1969 J. Spacecraft and Rockets, 6, 25.
Melcher, J. R. & Hurwitz, M. 1967 J. Spacecraft and Rockets, 4, 864.
Melcher, J. R., Hurwitz, M., Fax, R. G. & Blutt, J. 1969 J. Spacecraft and Rockets. (To be published.)
Melcher, J. R. & Schwartz, W. J. 1968 Phys. Fluids, 11, 2064.
Nayyer, N. K. & Murty, G. S. 1960 Proc. Phys. Soc. 75, 369.
Phillips, O. M. 1960 J. Fluid Mech. 7, 340.
Reynolds, J. M. 1965 Phys. Fluids, 8, 161.
Rouse, H. 1946 Elementary Mechanics of Fluids. New York: Wiley.
Stratton, J. A. 1941 Electromagnetic Theory. New York: McGraw-Hill.
Wong, J. 1966 B.S. Thesis, Department of Electrical Engineering, M.I.T.