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TECHNICAL PAPERS

Coupled Slow and Fast Dynamics of Flow Excited Elastic Cable Systems

[+] Author and Article Information
W.-J. Kim, N. C. Perkins

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109

J. Vib. Acoust 125(2), 155-161 (Apr 01, 2003) (7 pages) doi:10.1115/1.1547462 History: Received March 01, 2001; Revised October 01, 2002; Online April 01, 2003
Copyright © 2003 by ASME
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Figures

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Steady state cross-flow VIV during lock-in predicted without considering the changes in mean drag. In this example, V=1.24 m/s,L=20 m,D=0.0155 m,Ḡ=0.3763,F̄=1.0027, and CL0=0.28
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Coupled slow and fast dynamic response of the cable suspension in uniform cross-flow resulting from variations in the mean drag; (a) cross-flow (VIV) response, (b) in-line (drift) response, (c) mean drag coefficient
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Coupled slow and fast response of cable-buoy system resulting from variations in mean drag. In this example, V=0.418 m/s,L=31 m,M=10 kg,Ḡ=0.3985,F̄=0.8829, and buoy diameter 0.6 m; (a) cross-flow response of the cable at an antinode, (b) in-line (drift) response of the cable at S=L, (c) tangential response of the buoy, (d) mean drag coefficient
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Cable-buoy system showing fast VIV and slow drift
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Schematics of two cable applications (a) cable suspension (b) cable-buoy system. Three-dimensional dynamic response (solid curves) from equilibrium (dashed curves) is described by U and projected onto the Serret-Frenet triad {t⁁,n⁁,b⁁} defined by the equilibrium configurations

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