Flow-Induced Vibrations Caused by Roughness in Pipes Conveying Fluid

[+] Author and Article Information
A. Shulemovich

New York, NY

J. Appl. Mech 53(1), 181-186 (Mar 01, 1986) (6 pages) doi:10.1115/1.3171708 History: Received May 01, 1984; Revised April 01, 1985; Online July 21, 2009


This paper presents a theoretical investigation of self-excited vibrations of pipes conveying fluid due to roughness. A model of a laminar friction, considered as the excitation mechanism, is based on Prandtl’s universal velocity distribution for the turbulent boundary layer and on Nikuradse’s experiments. The analysis has shown that the friction characteristic has a negative slope in a certain range of fluid velocities. This range is a function of pipe roughness and is shifted to lower flow velocities due to roughness growth during pipe operation. It was found that the differential operator of a piping loop motion based on the nonlinear restoring characteristic coincides with the differential operator of Duffing’s equation for the hardening system. The energy method was used to obtain the approximate closed-form solution for the amplitude of steady self-excited vibrations. The unstable response with jump phenomena can appear due to interaction of small turbulent disturbances in conveying fluid with a given nonlinear system.

Copyright © 1986 by ASME
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