The Dynamic Behavior of Articulated Pipes Conveying Fluid With Periodic Flow Rate

[+] Author and Article Information
M. P. Bohn, G. Herrmann

Department of Applied Mechanics, Stanford University, School of Engineering, Stanford, Calif.

J. Appl. Mech 41(1), 55-62 (Mar 01, 1974) (8 pages) doi:10.1115/1.3423271 History: Received March 01, 1973; Revised May 01, 1973; Online July 12, 2010


The plane motion of two rigid, straight articulated pipes conveying fluid is examined. In contrast to previous work, the flow rate is not taken as constant, but is allowed to have small periodic oscillations about a mean value, as would be expected in a pump-driven system. It is shown that in the presence of such disturbances, both parametric and combination resonances are possible. When the system can also admit loss of stabilty by static buckling or by flutter, it is found that the presence of small periodic disturbances constitutes a destabilizing effect. Floquet theory and converging infinite determinant expansions are used to illustrate a basic difference between systems which lose stability by divergence and those that lose stability by flutter. An algebraic criterion is obtained for the minimum amplitude of flow rate oscillation required for the system to be affected by the presence of small disturbances.

Copyright © 1974 by ASME
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