Vibration of Pipes Containing Flowing Fluids

[+] Author and Article Information
R. A. Stein, M. W. Tobriner

Engineering Physics Section, Battelle Memorial Institute, Washington, D. C.

J. Appl. Mech 37(4), 906-916 (Dec 01, 1970) (11 pages) doi:10.1115/1.3408717 History: Received May 01, 1969; Revised March 26, 1970; Online July 12, 2010


A numerical solution to the equation of motion that describes the behavior of an elastically supported pipe of infinite length conveying an ideal pressurized fluid has been developed, and a new interpretation of the effects produced by internal pressure forces is presented. The effects of foundation modulus, flow velocity, and internal pressure on the dynamic stability, frequency response, and wave-propagation characteristics of an undamped system are discussed. The stability of the system is assured if the flow velocity does not exceed a critical value. Internal pressure decreases the observed frequency of the system while the presence of flow produces two effects: one increases and the other decreases the oscillation frequency. The spatial wave form is shown to be asymptotically symmetric with respect to an axis translating downstream at a constant velocity. For large values of the foundation modulus, the behavior of the pipe is represented by a positively traveling wave packet of frequency equal to the natural frequency of the spring-mass system with an envelope which is an unattenuated duplication of the initial disturbance. Graphical examples of the numerical results for a 30-india steel pipe with a 1/4 -in-thick wall are shown.

Copyright © 1970 by ASME
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