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TECHNICAL PAPERS

Dispersion Relation and Stability Analysis of Flow-Induced Wave of a Flexible Circular Ring Subjected to Swirling Fluid Flow

[+] Author and Article Information
Masahiro Watanabe, Nobuyuki Kobayashi

Department of Mechanical Engineering, Aoyama Gakuin University, Tokyo 157-8572, Japan

J. Pressure Vessel Technol 123(4), 442-447 (Jun 22, 2001) (6 pages) doi:10.1115/1.1398286 History: Received April 20, 2000; Revised June 22, 2001
Copyright © 2001 by ASME
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References

Srinivasan,  A. V., 1971, “Flutter Analysis of Rotating Cylindrical Shells Immersed in a Circular Helical Flowfield of Air,” AIAA J., 9, No. 3, pp. 394–400.
Hori,  Y., 1959, “A Theory of Oil Whip,” ASME J. Appl. Mech., 26, pp. 189–198.
Muszynska,  A., 1986, “Whirl and Whip-Rotor/Bearing Stability Problems,” J. Sound Vib., 110, No. 3, pp. 443–462.
Muszynska,  A., 1988, “Stability of Whirl and Whip in Rotor/Bearing Systems,” J. Sound Vib., 127, No. 1, pp. 49–64.
Axisa,  F., and Antunes,  J., 1992, “Flexural Vibrations of Rotors Immersed in Dense Fluids. Part I: Theory,” J. Fluids Struct., 6, pp. 3–21.
Antunes,  J., Axisa,  F., and Hareux,  F., 1992, “Flexural Vibrations of Rotors Immersed in Dense Fluids. Part II: Experiments,” J. Fluids Struct., 6, pp. 23–38.
Antunes,  J., Axisa,  F., and Grunenwald,  T., 1996, “Dynamics of rotors immersed in eccentric annular flow. Part I: Theory,” J. Fluids Struct., 10, pp. 893–918.
Grunenwald,  T., Axisa,  F., Bennett,  G., and Antunes,  J., 1996, “Dynamics of Rotors Immersed in Eccentric Annular Flow. Part II: Experiments,” J. Fluids Struct., 10, pp. 919–944.
Fritz,  R. J., 1970, “The Effects of an Annular Fluid on the Vibrations of a Long Rotor, Part 1—Theory,” ASME J. Basic Eng., 92, pp. 923–929.
Fritz,  R. J., 1970, “The Effects of an Annular Fluid on the Vibrations of a Long Rotor, Part 2—Test,” ASME J. Basic Eng., 92, pp. 930–937.
Nelson,  C. C., and Nguyen,  D. T., 1988, “Analysis of Eccentric Annular Incompressible Seals: Part 1—A New Solution Using Fast Fourier Transforms for Determining Hydrodynamic Force,” ASME J. Tribol., 110, pp. 354–360.
Nelson,  C. C., and Nguyen,  D. T., 1988, “Analysis of Eccentric Annular Incompressible Seals: Part 2—Effects of Eccentricity on Rotordynamics Coefficients,” ASME J. Tribol., 110, pp. 361–366.
Kanemori,  Y., and Iwatubo,  T., 1992, “Rotordynamic Analysis of Submerged Motor Pumps, Influence of Long Seal on the Stability of Fluid Machinery,” JSME Int. J. Ser. C, 37, No. 1, pp. 193–201.
Jinnouchi,  Y., Araki,  Y., Inoue,  J., Kubo,  S., and Matushita,  O., 1988, “The Dynamic Instability of a Non-Rotating Pipe in a High Speed Rotor Filled with Liquid,” Trans. Jpn. Soc. Mech. Eng., Ser. C, (in Japanese), C54, No. 502, pp. 1210–1216.
Dowell,  E. H., Srinivasan,  A. V., Mclean,  J. D., and Ambrose,  J., 1974, “Aeroelastic Stability of Cylindrical Shells Subjected to a Rotating Flow,” AIAA J., 12, No. 12, pp. 1644–1651.
Yamada,  Y., Imao,  S., Yamada,  K., and Toda,  M., 1985, “Flow of a Fluid Contained between Rotating Concentric Cylinders (1st Report, The Case with Both Cylinders Rotating in the Same Direction,” Trans. Jpn. Soc. Mech. Eng., Ser. B, B51, No. 461, pp. 271–279.

Figures

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Analytical model of flexible circular ring subjected to swirling fluid flow
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Flexible circular ring vibrating around equilibrium position
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Swirling fluid flow between circular ring and rotating outer casing
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Wave mode shapes of flexible circular ring (four lowest wave modes)
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Dispersion relation of wave in stationary fluid (without rotation Ω⁁=0)—(a) phase speed Re[ω⁁]/k versus wave number k; (b) growth rate −Im[ω⁁] versus wave number k
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Variations of phase speed Re[ω⁁]/k and growth rate −Im[ω⁁] with rotational speed Ω⁁ (with swirling fluid flow)—(a) phase speed Re[ω⁁]/k versus Ω⁁; (b) growth rate −Im[ω⁁] versus Ω⁁
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Dispersion relation of wave (with swirling fluid flow)—(a) phase speed Re[ω⁁]/k versus wave number k; (b) growth rate −Im[ω⁁] vs wave number k

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