Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T06:35:04.222Z Has data issue: false hasContentIssue false
  • English
  • Français

Dynamics of flexible slender cylinders in axial flow Part 1. Theory

Published online by Cambridge University Press:  28 March 2006

M. P. Paidoussis
M. P. Paidoussis
Affiliation:
Chalk River Nuclear Laboratories, Atomic Energy of Canada Limited
Get access Rights & Permissions [Opens in a new window]

Abstract

A general theory is presented to account for the small, free, lateral motions of a flexible, slender, cylindrical body immersed in fluid flowing parallel to the position of rest of its axis. The cylinder is either clamped or pinned at both ends, or clamped at the upstream end and free at the other; it lies in a horizontal plane wherein all motion is considered to be confined. It is shown that for sufficiently large flow velocities the cylinder may be subject to buckling and oscillatory instabilities in its first and higher flexural modes, respectively. It is shown that for cylinders with both ends supported the oscillatory instabilities are specifically caused by lateral frictional forces, and that in the absence of hydrodynamic-drag effects only buckling is possible. The same applies for cylinders supported at the upstream end and with a very long, gradually tapering free end. The critical conditions of stability, expressed in dimensionless form, are evaluated extensively for clamped-free and pinned-pinned cylinders, illustrating the effect of the various system parameters on stability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 4 , December 1966 , pp. 717 - 736
Copyright
© 1966 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Benjamin, T. Brooke 1961 Proc. Roy. Soc., A 261, 457.
Benjamin, T. Brooke 1963 J. Fluid Mech. 16, 43.
Bishop, R. E. D. & Johnson, D. C. 1960 The Mechanics of Vibration, chap. 7. Cambridge University Press.
Euler, L. 1933 Isis, 20, 1.
Gregory, R. W. & Paidoussis, M. P. 1966 Proc. Roy. Soc., A 293, 512.
Handelman, G. H. 1955 Quart. J. Appl. Math. 13, 32.
Hawthorne, W. R. 1961 Proc. Instn Mech. Engrs, 175, 52.
Lamb, H. 1932 Hydrodynamics, chap. 5. Cambridge University Press.
Lighthill, M. J. 1960 J. Fluid Mech. 9, 30.
Morse, P. M. 1948 Vibration and Sound, chap. 3. New York: McGraw Hill.
Munk, M. M. 1924 NACA Rep. no. 184.
Niordson, F. I. N. 1953 K. Tek. Högskol. Handl. no. 73.
Paidoussis, M. P. 1963 Ph.D. Thesis, Cambridge University.
Paidoussis, M. P. 1966 J. Fluid Mech. 26, 73.
Taylor, G. I. 1952 Proc. Roy. Soc., A 214, 158.