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On the maximum amplitude for a freely vibrating cylinder in cross-flow

Klamo, J. T. and Leonard, A. and Roshko, A. (2005) On the maximum amplitude for a freely vibrating cylinder in cross-flow. Journal of Fluids and Structures, 21 (4). pp. 429-434. ISSN 0889-9746.

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The response of a freely oscillating circular cylinder (“free vibration”) in cross-flow has been studied experimentally using controlled magnetic eddy current to provide variable damping. In general, the nondimensional response amplitude, A*, and dominant frequency, ω*, depend on the Reynolds number, Re, and the nondimensional mass, m*, damping, b*, and elasticity, k*, of the system. The main objective of this study is to characterize the maximum amplitude that is achieved for a given system as cross-flow velocity is varied. We find that this maximum amplitude, A*_(max), occurs within a small range of values of k*_(eff) = ω*^2m* + k*. For values of Reynolds number in the range 525<Re<2600, we determine A*_(max)(b*, Re) for lightly to moderately damped systems. Extrapolating these results to b*=0 defines limiting values of amplitude, A*_(Lim), which depend on Reynolds number. An important point is that these results do not depend on the specific value of either m* or k*. These results show that the Reynolds number, which has generally been ignored in discussions of maximum-amplitude data, is an important parameter.

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Additional Information:Copyright © 2005 Elsevier Ltd. Received 20 May 2005; accepted 25 July 2005. Available online 4 October 2005. Thanks to Prof. Morteza Gharib for his involvement throughout this research effort. We gratefully acknowledge the financial support provided by ONR Grant # N00014-94-1-0793. Scholarship support was provided by the National Science Foundation graduate fellowship program.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-94-1-0793
NSF Graduate Research FellowshipUNSPECIFIED
Subject Keywords:Vortex-induced vibrations; Reynolds number; Synchronization; Lock-in; Flow-induced oscillations
Issue or Number:4
Record Number:CaltechAUTHORS:20141201-122718180
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Official Citation:J.T. Klamo, A. Leonard, A. Roshko, On the maximum amplitude for a freely vibrating cylinder in cross-flow, Journal of Fluids and Structures, Volume 21, Issue 4, December 2005, Pages 429-434, ISSN 0889-9746, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52226
Deposited By: George Porter
Deposited On:01 Dec 2014 20:55
Last Modified:03 Oct 2019 07:40

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