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TECHNICAL PAPERS

Dynamic Stability of Flexible Bellows Subjected to Periodic Internal Fluid Pressure Excitation

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

Yuichi Wada

Department of Mechanical Engineering, Aoyama Gakuin University, 5-10-1, Fuchinobe, Sagamihara-shi, Kanagawa, Japan

J. Pressure Vessel Technol 126(2), 188-193 (May 05, 2004) (6 pages) doi:10.1115/1.1687380 History: Received September 09, 2002; Revised September 04, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Jakubauskas,  V. F., and Weaver,  D. S., 1996, “Axial Vibrations of Fluid-Filled Bellows Expansion Joints,” ASME J. Pressure Vessel Technol., 118, pp. 484–490.
Jakubauskas,  V., and Weaver,  D. S., 1998, “Transverse Vibrations of Bellows Expansion Joints: Part I—Fluid Added Mass,” J. Fluids Struct., 12, pp. 445–456.
Jakubauskas,  V., and Weaver,  D. S., 1999, “Transverse Natural Frequencies and Flow-Induced Vibrations of Double Bellows Expansion Joints,” J. Fluids Struct., 13, pp. 461–479.
Gerlach,  C. R., 1969, “Flow-Induced Vibrations of Metal Bellows,” ASME J. Eng. Ind., 91(4), pp. 1196–1202.
Gerlach,  C. R., 1972, “Vortex Excitation of Metal Bellows,” ASME J. Eng. Ind., 94(1), pp. 87–94.
Bass,  R. L., and Holster,  J. L., 1972, “Bellows Vibration with Internal Cryogenic Fluid Flows,” ASME J. Eng. Ind., 91(1), pp. 70–75.
Weaver,  D. S., and Ainsworth,  P., 1989, “Flow-Induced Vibrations in Bellows,” ASME J. Pressure Vessel Technol., 111, pp. 402–406.
Weaver, D. S., 1999, “Flow-Induced Vibrations in Bellows Expansions Joints,” Proceedings of the 3rd International Conference Engineering Aero-Hydro Elasticity, pp. 77–84.
Paidoussis,  M. P., and Issid,  N. T., 1974, “Dynamic Stability of Pipes Conveying Fluid,” Sound Vib., 33(3), pp. 267–294.
Paidoussis,  M. P., and Sundararajan,  C., 1975, “Parametric and Combination Resonances of a Pipe Conveying Palsating Fluid,” ASME J. Appl. Mech., 42, pp. 780–784.
Paidoussis,  M. P., and Issid,  N. T., 1976, “Experiments on Parametric Resonance of Pipes Containing Pulsatile Flow,” ASME J. Appl. Mech., 43, pp. 198–202.
Bolotin, V. V., 1964, The Dynamic Stability of Elastic Systems, Holden-Day, Inc., San Francisco, CA.

Figures

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Schematic drawing of bellows subjected to periodic internal fluid pressure
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Details of bellows geometry
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Photograph of experimental setup
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Variation of natural frequencies with static pressure Pst
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Parametric instability boundaries (Pst=0)
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Time history of bellows strain under parametric excitation (primary instability of 1st mode)
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Spectrum of bellows strain under parametric excitation (primary instability of 1st mode)
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Time history of bellows strain under parametric excitation (primary instability of 2nd mode)
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Spectrum of bellows strain under parametric excitation (primary instability of 2nd mode)
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Effect of damping ratio ζ on parametric boundaries
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Effect of static pressure Pst on parametric instability boundaries

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