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TECHNICAL PAPERS

An Investigation on the Use of Connors’ Equation to Predict Fluidelastic Instability in Cylinder Arrays

[+] Author and Article Information
Stuart J. Price

Department of Mechanical Engineering, McGill University Montreal, Quebec H3A 2K6, Canada e-mail: stuart.price@mcgill.ca

J. Pressure Vessel Technol 123(4), 448-453 (Jul 13, 2001) (6 pages) doi:10.1115/1.1403445 History: Received March 19, 2001; Revised July 13, 2001
Copyright © 2001 by ASME
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References

Figures

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Theoretical stability boundary for fluidelastic instability of a square array, P/D=1.33, obtained by Tanaka and Takahara 18: –, δ=0.01; — —, δ=0.03; ---, δ=0.1; [[dotted_line]], lines showing Vpc/fnD proportional to m/ρD2 and (m/ρD2)1/2
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Theoretical stability boundary for fluidelastic instability predicted by Chen 21 for a row of cylinders with P/D=1.33; ---, theoretical solution showing multiple instability boundaries; –, practical stability boundary
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Theoretical stability boundary for fluidelastic instability obtained by Yetisin and Weaver 24 for a square array with P/D=1.5; ---, one flexible cylinder –, five flexible cylinders. (Figure reproduced from Yetisir and Weaver 24, ⊙, experimental data from Weaver and Fitzpatrick 5.)
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Comparison of quasi-steady analysis of Price and Païdoussis 26, P/D=1.5, and the quasi-unsteady analysis of Granger and Païdoussis 29, P/D=1.5, with experimental data, 1.33≤P/D≤1.5, for a square array (reproduced from Granger and Païdoussis 29): ---, Price and Païdoussis quasi-steady model; –, Granger and Païdoussis quasi-unsteady order-1 model; –⋅–, Granger and Païdoussis quasi-unsteady order-2 model (this follows very closely the order-1 curve); experimental data identified in Granger and Païdoussis.
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Correlations of critical flow velocity for fluidelastic instability as function of mass and damping, reproduced from Pettigrew and Taylor 6, experimental data identified in Pettigrew and Taylor—(a) Vpc/fnD as a function of (m/ρD20.5, (b) Vpc/fnD as a function of (mδ/ρD2)

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