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TECHNICAL PAPERS

Axial Leakage Flow-Induced Vibration of the Elastic Rod as the Axisymmetric Continuous Flexible Beam

[+] Author and Article Information
Katsuhisa Fujita, Atsuhiko Shintani

Mechanical Systems Engineering, Graduate School of Engineering, Osaka Prefecture University Sakai, Osaka, 599-8531, Japan

J. Pressure Vessel Technol 123(4), 421-428 (May 23, 2001) (8 pages) doi:10.1115/1.1387442 History: Received November 15, 2000; Revised May 23, 2001
Copyright © 2001 by ASME
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References

Hobson, D. E., 1982, “Fluid-Elastic Instabilities Caused by Flow in An Annulus,” Proc. BNES 3rd Int. Conf. in Vibration in Nuclear Plant, pp. 440–461.
Inada,  F., and Hayama,  S., 1989, “A Study on Leakage-Flow-Induced Vibrations,” (in Japanese), Trans. Jpn. Soc. Mech. Eng. Ser. C C55, No. 511, pp. 2565–2570.
Nagakura,  H., and Kaneko,  S., 1992, “The Stability of a Cantilever Beam Subjected to One-Dimensional Leakage Flow” (in Japanese), Trans. Jpn. Soc. Mech. Eng. Ser. C. C58, No. 546, pp. 352–359.
Yasuo,  A., and Paidoussis,  M. P., 1989, “Flow-Induced Instability of Heat-Exchanger Tubes due to Axial Flow in a Diffuser Shaped, Loose Intermediate Support,” ASME J. Pressure Vessel Technol., 111, pp. 428–434.
Arai, M., and Tajima, K., 1997, “Leakage-Flow-Induced Vibrations of an Axisymmetric Body,” Proc., Asia-Pacific Conference ’97, pp. 698–703.
Li. D., Kaneko S., and Hayama S., 1998, “A Study on Annular Leakage-Flow-Induced Vibration” (in Japanese), Proc. JSME D&D’98, No. 98-8 I, Vol. A, pp. 733–740.
Paidoussis,  M. P., 1966, “Dynamics of Flexible Slender Cylinders in Axial Flow, Part 1. Theory, Part 2. Experiment,” J. Fluid Mech., 26, pp. 717–751.
Paidoussis,  M. P., and Ostoja-Starzewski,  M., 1981, “Dynamics of a Flexible Cylinder in Subsonic Axial Flow,” AIAA J., 19, pp. 1467–1475.
Paidoussis, M. P., 1998, Fluid Structure Interactions Slender Structures and Axial Flow, Vol. I, Academic Press, New York, NY.
Sugiyama,  Y., Tanaka,  Y., Kishi,  T., and Kawagoe,  H., 1985, “Effect of a Spring Support on the Stability of Pipes Conveying Fluid,” J. Sound Vib., 100, pp. 257–270.
Paidoussis,  M. P., Luu,  T. P., and Laither,  B. H., 1986, “Dynamics of the Finite-length Tubular Beams Conveying Fluid,” J. Sound Vib., 106, pp. 311–331.
Fujita, K., and Ito, T., 1992, “Study of Leakage Flow-Induced Vibration of an Axisymmmetric Cylindrical Rod Due to Axial Flow,” ASME PVP-Vol. 244, pp. 33–43.
Fujita, K., Ito, T., Kawata, Y., and Izumi, H., 1994, “Axial Leakage Flow-Induced Vibration of a Long Flexible Rod with Small Gaps,” ASME PVP-Vol. 273, pp. 133–143.
Fujita, K. and Shintani, A., 1999, “Flow-induced Vibration of The Elastic Rod due to Axial Flow: Unstable Phenomena of Continuous Flexible Rod,” ASME PVP-Vol. 389, pp. 199–206.
Tanaka, M., Fujita, K., Hotta, A., and Kono, N., 1988, “Parallel Flow Induced Damping of PWR Fuel Assembly,” ASME PVP-Vol. 133, pp. 121–125.

Figures

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Relation among number of eigenmodes in a vacuum axial flow velocity, and accuracy of the complex eigenvalues
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Argand diagram for simply supported rod
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Eigenfrequency and the gap width H̄ for simply supported rod for 1st mode
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Critical velocity versus gap width H̄ for simply supported rod
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Critical velocity versus length L for simply supported beam
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Critical velocity versus radius R for simply supported rod
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Effect of the fluid on stability for simply supported rod
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Effect of the density of rod on stability for simply supported rod
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Eigenfrequency and imaginary part
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1st coupled eigenmode for simply supported rod (V̄=0, stable)
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1st coupled eigenmode for simply supported rod (V̄=7, stable)
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1st coupled eigenmode for simply supported rod (V̄=10, divergence)
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2nd coupled eigenmode for simply supported rod (V̄=14, stable)
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2nd coupled eigenmode for simply supported rod (V̄=15, flutter)
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1st coupled eigenmode for rod with upstream constriction (V̄=140, flutter)
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1st coupled eigenmode for rod with downstream constriction (V̄=10, divergence)
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Argand diagram for rod with upstream constriction
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Argand diagram for rod with downstream constriction

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