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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
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

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.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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