Effects of Lumped Masses on the Stability of Fluid Conveying Tubes

[+] Author and Article Information
J. L. Hill

Department of Aerospace Engineering, University of Texas, Austin, Texas

C. P. Swanson

Radiation, Inc., Melbourne, Fla.

J. Appl. Mech 37(2), 494-497 (Jun 01, 1970) (4 pages) doi:10.1115/1.3408533 History: Received June 23, 1969; Online April 06, 2010


The effects of adding lumped masses to fluid conveying tubes are studied. The addition of the masses is accounted for by a discontinuous mass distribution. Solutions of the partial differential equation of motion with the discontinuous coefficient are sought approximately using Galerkin’s method. Numerical results are presented for the destabilizing fluid-flow velocity for a cantilevered tube. The numerical results compare favorably with experimental results.

Copyright © 1970 by ASME
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