On the Dynamic Stability of Fluid-Conveying Pipes

[+] Author and Article Information
D. S. Weaver

Department of Mechanical Engineering, McMaster University, Hamilton, Ontario, Canada

T. E. Unny

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada

J. Appl. Mech 40(1), 48-52 (Mar 01, 1973) (5 pages) doi:10.1115/1.3422971 History: Received July 01, 1971; Online July 12, 2010


This paper presents a general analysis of the dynamic stability of a finite-length, fluid-conveying pipe. The Flügge-Kempner equation is used in conjunction with classical potential theory so that circumferential modes as well as the usual beam modes may be considered. The cylinders are found to become unstable statically at first but flutter is predicted for higher velocities. The critical flow velocities for short, thin shells are associated with a number of circumferential waves. This number reduces for thicker and longer shells until the instability is in a beam mode. When the limiting case of a long thin shell is taken, it is found to agree with previous results obtained using a simpler beam approach.

Copyright © 1973 by ASME
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