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Deformation Analysis of Miniature Metal Bellows Charged Nitrogen for Temperature Change to Cryogenic Condition  

Lee, Seung-Ha (EO/IR R&D Center, LIG Nex1 Co.)
Lee, Tae-Won (School of Mechanical Engineering, Kumoh National Institute of Technology)
Publication Information
Journal of the Korean Society for Precision Engineering / v.26, no.10, 2009 , pp. 81-88 More about this Journal
Abstract
Bellows is used to control temperature of a Joule-Thomson micro cryocooler. It is made of Nickelcobalt alloy that retains mechanical properties from cryogenic temperature to temperature of 570K. The geometry of bellows is an axisymmetric shell and Nitrogen with high pressure was charged at temperature of 293K. During cool-down process, the pressure and volume of Nitrogen are changed and must be satisfied with state equation. At cryogenic temperature, Nitrogen can exist as a part liquid and part vapor. Pressure-density-temperature behavior under this vaporliquid phase equilibrium is closely given by the Modified-Benedict-Webb-Rubin(MBWR) state equation. To evaluate deformation of bellows for temperature change, the numerical calculation of the volume within bellows and finite element analysis of bellows under internal pressure were iteratively performed until MBWR state equation is satisfied. The numerical results show that deformation of the bellows can be analyzed by the present method in a wide range of temperature including cryogenic temperature.
Keywords
Miniature Metal Bellows; Cryogenic Temperature; MBWR State Equation; Finite Element Anaysis; Axisymmetric Shell;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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1 Ahmad, S., Irons, B. M. and Zienkiewicz, O. C., "Analsis of Thick and Thin Shell Structures by Curved Element," Int. J. Numer. Methods Eng., Vol. 2, No. 2, pp. 419-451, 1970   DOI
2 Hughes, T. J. R., Cohen, M. and Haron, M., "Reduced and Selective Integration Techniques in the Finite Element Analysis of Plates," Nuclear Eng. Desgn., Vol. 46, No. 1, pp. 203-222, 1978   DOI   ScienceOn
3 Weber, L. A., "Some Vapor pressure and P-V-T data on nitrogen in the range 65 to 140K," J. Chem. Thermodyn., Vol. 2, pp. 839-846, 1970   DOI
4 Stolarski, H. and Belytschko, T., "Membrane Locking and Reduced Integration for Curved Elements," J. Apple. Mech., Vol. 49, No. 1, pp. 172-176, 1982   DOI
5 Zienkiewicz, O. C., Taylor, R. L. and Too, J. M., "Reduced Integration Techniques in General Analysis of Plates and Shells," Int. J. Numer. Methods Eng., Vol. 3, No. 2, pp. 275-290, 1971   DOI
6 Kim, D. H. and Choi, M. J., "Vibration Analysis Model for Bellows Using Reduced Degree of Freedom in the Vehicle Exhaust System," Proc. of KSPE Autumn Conference, pp. 659-663, 2001
7 Chien, S. B., Chen, L. T. and Chou, F. C., "A Study on the Transient Characteristics of a Self-regulating Joule-Thomson Cryocooler," Cryogenics, Vol. 36, No. 12, pp. 979-984, 1996   DOI   ScienceOn
8 Armstrong, G. T., "Vapor Pressure of nitrogen," Journal of Reserch of the National Bureau of Standards., Vol. 53, No. 4, pp. 263-266, 1954   DOI
9 Stein, B., Jaeger, P. and Przybyla, C., "Mechanical Properties of Electroformed Nickel Cobalt Alloy," Proceeding of the 22nd Heat Treating Society Conference and the 2nd International Surface Engineering Congress, pp. 308-310, 2003
10 Younglove, B. A., "Thermophysical properties of fluide. I. Argon, ethylene, parahydrogen, nitrogen, nitrogen trifluoride, and oxygen," Journal of Physical and Chemical Reference Data, Vol. 11, No. 1, pp. 4-9, 1982
11 ANSYS, "Online Documentation for ANSYS V11.0," ANSYS Inc., 2007
12 Koh, B. K., Park, G. J. and Lee, W. I., "Development of a Bellows Finite Element for the Analysis of Piping System," Transactions of the KSME, Vol. 19, No. 6, pp. 1439-1450, 1995   과학기술학회마을
13 Lemmon, E. W., Haber, M. L. and McLinden, M. O., "NIST Reference Fluid Thermodynamic and Transport Properties Database (REFPROP) Version 8.0," National Institute of Standards and Technology, 2007
14 Jacobsen, R. T. and Stewart, R. B., "Thermodynamic Properties of Nitrogen Including Liquid and Vapor Phases from 63K to 2000K with Pressures to 10,000 Bar," Journal of Physical and Chemical Reference Data, Vol. 2, No. 4, pp. 757-922, 1973   DOI
15 Koh, B. K. and Park, G. J., "Development of Bellows Finite Element Analysis Program and Simplified Formulas of Bellows and Shape Optimization," Transactions of the KSME, Vol. 21, No. 8, pp. 1195-1208, 1997   과학기술학회마을
16 Lee, S. E. and Lee, T. W., "Deformation Analysis of Self-regulating Bellows in Joule-Thomson Cryocooler," Journal of the KSPE, Vol. 25, No. 4, pp. 100-107, 2008   과학기술학회마을
17 Lee, S. H. and Lee, T. W., "A Study on the Structural Characteristics of Miniature Metal Bellows m Joule-Thomson Micro-Cryocooler," Journal of the KSPE, Vol. 25, No. 9, pp. 95-102, 2008