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TECHNICAL PAPERS

Theoretical Modeling of Creep Behavior of Bellows and Some Applications

[+] Author and Article Information
Kazuyuki Tsukimori

Structure and Material Research Group, O-arai Engineering Center, Japan Nuclear Cycle Development Institute, O-arai, Ibaraki-ken, Japane-mail: mr-moon@hq.jnc.go.jp

J. Pressure Vessel Technol 123(2), 179-190 (Aug 03, 2000) (12 pages) doi:10.1115/1.1320817 History: Received December 20, 1999; Revised August 03, 2000
Copyright © 2001 by ASME
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References

Haringx, J. A., 1952, “The Instability of Bellows Subjected to Internal Pressure,” Phillip Research Report, 7, pp. 189–196.
Tsukimori, K., Iwata, K., Imazu, A., Ooka, Y., and Koue, S., 1988, “A Simplified Analysis Method for Buckling of Bellows Under Internal Pressure and Its Validation Tests,” Pressure Vessel Technology, Vol. 1, pp. 663–670.
Tsukimori,  K., and Iwata,  K., 1990, “The Buckling Behavior of U-Shaped Bellows under Pressure Loads,” Int. J. Pressure Vessels Piping, 44, pp. 365–380.
Campbell, R. D., Cloud, R. L., and Bushnell, D., 1981, “Creep Instability in Flexible Piping Joints,” ASME PVP-Vol. 51, pp. 29–52.
Tsukimori,  K., 1996, “Evaluation Method of Creep Buckling of Bellows due to Internal Pressure (Theoretical Approach and Formulation)” (in Japanese), JSME Int. J., Ser. A, 62, No. 596, pp. 1071–1077.
Tsukimori,  K., 1997, “Creep Deformation Analyses of Bellows Under Internal Pressure” (in Japanese), JSME Int. J., Ser. A, 63, No. 612, pp. 1724–1729.
Teramae, T., Hamanaka, J., and Kano, T., 1981, “A Simplified Method for Elastic Follow-up Analysis of Elevated Temperature Piping Systems,” Proc., 6th Int. Conf. on Structural Mechanics in Reactor Technology, Paris, No. L, pp. 1–11.
Teramae,  T., 1983, “A Simplified Method for Elastic Follow-up Analysis of Elevated Temperature Piping Systems,” Int. J. Pressure Vessels Piping, 12, pp. 29–41.
Dhalla, A. K., 1984, “Numerical Estimate of Elastic Follow-up in Piping: Inelastic Evaluation,” ASME PVP-Vol. 86, pp. 65–80.
Dhalla,  A. K., 1986, “Numerical Estimate of Elastic Follow-up in Piping: Inelastic Evaluation,” ASME J. Pressure Vessel Technol., 108, pp. 453–460.
Severud, L. K., 1984, “A Simplified Method Evaluation for Piping Elastic Follow-up,” Proc., 5th Int. Conf. on Pressure Vessel Technology, San Francisco, CA, ASME, pp. 367–387.
Imazu, A., Sawa, M., Yamazato, K., Nagata, T., and Okabayashi, K., 1985, “Elastic Follow-up Test of FBR Piping System at High Temperature,” Proc., 8th Int. Conf. on Structural Mechanics in Reactor Technology, Brussels, No. E, pp. 233–238.
Roche, R. L., 1985, “Elastic Follow-Up in Piping Systems How to Specify the Creep Use-Fraction Factor,” Proc., 8th Int. Conf. on Structural Mechanics in Reactor Technology, Brussels, No. E, pp. 239–242.
Roche,  R. L., 1986, “Estimation of Piping Elastic Follow Up by Using Conventional Computations,” Int. J. Pressure Vessels Piping, 26, pp. 53–78.
Boyle,  J. T., and Nakamura,  K., 1987, “The Assessment of Elastic Follow-up in High Temperature Piping Systems-Overall Survey and Theoretical Aspects,” Int. J. Pressure Vessels Piping, 29, pp. 167–194.
Nakamura,  K., and Boyle,  J. T., 1987, “The Assessment of Elastic Follow-up in High Temperature Piping Systems-Some Example Problems,” Int. J. Pressure Vessels Piping, 29, pp. 249–273.
Kaguchi, H., Wada, H., Orita, J., Fujioka, T., Jimbo, M., and Morita, H., 1997, “A Simplified Design Method of Piping Subjected to Thermal Loads at Elevated Temperature,” Proc., 14th Int. Conf. on Structural Mechanics in Reactor Technology, Lyon, No. F, pp. 207–214.
Becht IV C., 1988, “Elastic Follow-up Evaluation for a Piping System with a Hot Wall Slide Valve,” ASME PVP-Vol. 139, pp. 27–31.
Tsukimori, K., 1998, “An Evaluation Method of Elastic Follow-up Behavior of Piping Systems Containing Bellows Expansion Joints,” ASME PVP-Vol. 368, pp. 177–183.
FINAS (Finite Element Nonlinear Structural Analysis System) V. 13.0 Users’ Manual, 1995, Japan Nuclear Cycle Development Institute (JNC), in Japanese; currently, English version is available for V. 12.0.
EJMA Standard (Standard of the Expansion Joint Manufacturers Associations), 1980, 5th Edition, White Plains, NY.

Figures

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Curved beam of 1/4 convolution cross section shape—(a) thin curved beam model; (b) arc part; (c) straight part
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Deformation of bellows due to bending moment (1/4 convolution)—(a) side view; (b) front view
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Column-type deformation of 1/2-bellows
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Definition of lateral displacements of bellows
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Creep deformation of bellows by FEM analysis (case 4-1, N=40)—(a) initial shape; (b) deformed shape
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Change of central displacement of bellows with time—(a) time versus W max (case 1-1∼-4), (b) time versus W max (case 2-1, -2), (c) time versus W max (case 3-1), (d) time versus W max (case 4-1)
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Comparison of critical times between FEM analysis and prediction
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Mitigation of thermal stresses in Z-shaped piping system by expansion joints
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Relation between bending moment and angular displacement (elastic follow-up behavior of bellows expansion joint)
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A simple elastic follow-up model with two bellows expansion joints
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Finite element mesh for FEM analysis of piping model
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Change of bending moment and angular displacement of no. 1 bellows expansion joint with time—(a) time versus nondimensional bending moment, (b) time versus nondimensional angular displacement
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Relation between nondimensional angular displacements and nondimensional bending moments of Nos. 1 and 2 bellows expansion joints (case 1)

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