A Single-Flexible-Cylinder Analysis for the Fluidelastic Instability of an Array of Flexible Cylinders in Cross-Flow

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

Department of Mechanical Engineering, McGill University, Montreal, Québec, Canada, H3A 2K6

J. Fluids Eng 108(2), 193-199 (Jun 01, 1986) (7 pages) doi:10.1115/1.3242562 History: Received October 16, 1984; Online October 26, 2009


A quasi-static fluidelastic analysis is developed for a single flexible cylinder surrounded by rigid cylinders and subject to cross-flow. Although the analysis is quasi-static, it includes a frequency-dependent term which arises because of flow retardation around the front stagnation region of the cylinder. The combined effect of this flow retardation and of the fluid force field is to produce, for some intercylinder patterns of motion, a negative fluid damping, acting in the sense normal to the flow direction. Using this analysis, the effect of array pattern of the adjacent rigid cylinders is investigated, and it is shown that for some geometries a single flexible cylinder will become unstable while for others it will not. For those array patterns which the theory indicates to be potentially unstable, the variation of critical flow velocity with mass-damping parameter is obtained and compared with available experimental data. In general, the comparison is good, indicating the validity of this analysis.

Copyright © 1986 by ASME
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