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RESEARCH PAPERS

Stability of a Cluster of Flexible Cylinders in Bounded Axial Flow

[+] Author and Article Information
M. P. Paidoussis, S. Suss

Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada

J. Appl. Mech 44(3), 401-408 (Sep 01, 1977) (8 pages) doi:10.1115/1.3424091 History: Received October 01, 1976; Revised January 01, 1977; Online July 12, 2010

Abstract

This paper deals with the dynamics of a cluster of parallel flexible cylinders in a cylindrical channel in the presence of an axially flowing fluid. The equations of motion are derived, taking into account inviscid and viscous hydrodynamic coupling of small arbitrary motions of the cylinders. Solutions of the equations of motion yield the eigenfrequencies and modal shapes of the system. For sufficiently high flow velocities the system loses stability by divergence and flutter, similarly to a solitary cylinder in unbounded flow; however, the critical flow velocities are much lower, as proximity to other cylinders and to the channel wall severely destabilize the system.

Copyright © 1977 by ASME
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