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RESEARCH PAPERS: Offshore Mechanics

Stability of a String in Axial Flow

[+] Author and Article Information
G. S. Triantafyllou

Research and Development Center, Greek Navy, Athens, Greece

C. Chryssostomidis

Department of Ocean Engineering, Massachusetts Institute of Technology, Cambridge, Mass. 02139

J. Energy Resour. Technol 107(4), 421-425 (Dec 01, 1985) (5 pages) doi:10.1115/1.3231213 History: Received June 01, 1984; Revised April 23, 1985; Online October 22, 2009

Abstract

The equation of motion of a long slender beam submerged in an infinite fluid moving with constant speed is derived using Hamilton’s principle. The upstream end of the beam is pinned and the downstream end is free to move. The resulting equation of motion is then used to perform the stability analysis of a string, i.e., a beam with negligible bending stiffness. It is found that the string is stable if (a ) the external tension at the free end exceeds the value of a U 2 , where a is the “added mass” of the string and U the fluid speed; or (b ) the length-over-diameter ratio exceeds the value 2Cf /π, where Cf is the frictional coefficient of the string.

Copyright © 1985 by ASME
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