This paper develops a general theory for the dynamics of slender, nonuniform axisymmetric beams subjected to either internal or external flow, or to both simultaneously. The effect of the boundary layer of the external flow is taken into account in the formulation. Typical solutions of the equations of motion are presented for cantilevered conical beams in external flow and for beams with a conical internal flow passage. Such systems lose stability at sufficiently high flow velocity, internal or external, either by flutter or by buckling. The effect of several parameters is investigated. For internal flow, the internal and external shape, whether uniform or conical, and the density of the surrounding fluid have sometimes unexpected effects on stability; e.g., tubular beams lose stability at lower internal flow when immersed in water than when in air. For external flow the effects of conicity, free end shape and boundary-layer thickness are investigated; the latter has a strong stabilizing influence, such that simple theory neglecting this effect results in serious error.
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March 1979
Research Papers
Dynamics of Slender Tapered Beams With Internal or External Axial Flow—Part 1: Theory
M. J. Hannoyer,
M. J. Hannoyer
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6
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M. P. Paidoussis
M. P. Paidoussis
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6
Search for other works by this author on:
M. J. Hannoyer
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6
M. P. Paidoussis
Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6
J. Appl. Mech. Mar 1979, 46(1): 45-51 (7 pages)
Published Online: March 1, 1979
Article history
Received:
May 1, 1978
Revised:
August 1, 1979
Online:
July 12, 2010
Citation
Hannoyer, M. J., and Paidoussis, M. P. (March 1, 1979). "Dynamics of Slender Tapered Beams With Internal or External Axial Flow—Part 1: Theory." ASME. J. Appl. Mech. March 1979; 46(1): 45–51. https://doi.org/10.1115/1.3424526
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