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In order to increase the filling factor of conductor in superconducting coils and improve the mechanical stability of superconducting magnet, the pre-tension is always applied to the conductor during winding the coils. Because the winding pre-tension has a great effect on the quench and degradation performance of superconducting magnet, it is necessary to analyze the mechanical stress caused by the fabrication. First, the winding physical process of conductor is analyzed. Then the theoretical model is developed to calculate the winding stress of superconducting coils based on some reasonable assumptions and approximations. And some formulas used for stress and strain are derived from the theory of elastic mechanics. Two kinds of superconducting coils (one consists of one type of wire, and the other one consists of two types of wires.) are researched according to the model. The effects of winding pre-stress and material anisotropy on radial stress and hoop stress in superconducting coils are also analyzed. On the basis of the analyzed results, one can further research the stress and strain of superconducting coils under the effect of multiphysics and give some theoretical suggestions for the design and construction of superconducting coils.
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Keywords:
- superconducting coil /
- mechanical stability /
- winding pre-tension /
- stress
[1] Liu W T, Zu D L, Tang X 2010 Chin. Phys. B 19 018701
[2] Fu R, Brey W W, Shetty K, Gorkov P, Saha S, Long J R, Grant S C, Chekmenev E Y, Hu J, Gan Z, Sharma M, Zhang F, Logan T M, Brschweller R, Ediscon A, Blue A, Dixon I R, Markiewicz W D, Gross A 2005 J. Magn. Reson. 177 1
[3] Iwasa Y 1992 IEEE Tran. Magn. 28 113
[4] Winlson M N 1983 Superconducting Magnet (New York: Oxford University Press)
[5] Iwasa Y 1991 Cryogenics 31 575
[6] Yasaka Y, Iwasa Y 1984 Cryogenics 24 423
[7] Bobrov E, Williams J 1981 IEEE Tran. Magn. 17 447
[8] Iwasa Y 2009 Case Studies in Superconducting Magnets (2nd ed) (New York: Springer Science)
[9] Ohira S, Nishijima S 2001 IEEE Tran. Appl. Supercon. 11 1474
[10] Melville D, Mattocks P G 1972 J. Phy. D: Appl. Phys. 5 1745
[11] Arp V 1977 J. Appl. Phys. 48 2026
[12] Markiewicz W D, Vaghar M R, Dixon I R, Garmestani H 1994 IEEE Tran. Magn. 30 2233
[13] Mulhall B E, Prothero D H 1973 J. Phy. D: Appl. Phys. 6 1973
[14] Caldwell J 1982 Appl. Math. Modelling 6 157
[15] Kokavec J, Cesnak L 1977 J. Phy. D: Appl. Phys. 10 1451
[16] Pan H, Liu X K, Wu H, Guo X L, Xu F X, Wang L, Green M A 2010 Atomic Energy Science and Technology 44 611 (in Chinese) [潘衡, 刘孝坤, 吴红, 郭兴龙, 徐风雨, 王莉, Green M A 2010 原子能科学与技术 44 611]
[17] Jones R M 1999 Mechanics of Composite Materials (Blacksburg: Taylor & Francis)
[18] Wang Q L 2006 High Field Superconducting Magnet Science (Beijing: Science Press) (in Chinese) [王秋良 2006 高磁场超导磁体科学 (北京: 科学出版社)]
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[1] Liu W T, Zu D L, Tang X 2010 Chin. Phys. B 19 018701
[2] Fu R, Brey W W, Shetty K, Gorkov P, Saha S, Long J R, Grant S C, Chekmenev E Y, Hu J, Gan Z, Sharma M, Zhang F, Logan T M, Brschweller R, Ediscon A, Blue A, Dixon I R, Markiewicz W D, Gross A 2005 J. Magn. Reson. 177 1
[3] Iwasa Y 1992 IEEE Tran. Magn. 28 113
[4] Winlson M N 1983 Superconducting Magnet (New York: Oxford University Press)
[5] Iwasa Y 1991 Cryogenics 31 575
[6] Yasaka Y, Iwasa Y 1984 Cryogenics 24 423
[7] Bobrov E, Williams J 1981 IEEE Tran. Magn. 17 447
[8] Iwasa Y 2009 Case Studies in Superconducting Magnets (2nd ed) (New York: Springer Science)
[9] Ohira S, Nishijima S 2001 IEEE Tran. Appl. Supercon. 11 1474
[10] Melville D, Mattocks P G 1972 J. Phy. D: Appl. Phys. 5 1745
[11] Arp V 1977 J. Appl. Phys. 48 2026
[12] Markiewicz W D, Vaghar M R, Dixon I R, Garmestani H 1994 IEEE Tran. Magn. 30 2233
[13] Mulhall B E, Prothero D H 1973 J. Phy. D: Appl. Phys. 6 1973
[14] Caldwell J 1982 Appl. Math. Modelling 6 157
[15] Kokavec J, Cesnak L 1977 J. Phy. D: Appl. Phys. 10 1451
[16] Pan H, Liu X K, Wu H, Guo X L, Xu F X, Wang L, Green M A 2010 Atomic Energy Science and Technology 44 611 (in Chinese) [潘衡, 刘孝坤, 吴红, 郭兴龙, 徐风雨, 王莉, Green M A 2010 原子能科学与技术 44 611]
[17] Jones R M 1999 Mechanics of Composite Materials (Blacksburg: Taylor & Francis)
[18] Wang Q L 2006 High Field Superconducting Magnet Science (Beijing: Science Press) (in Chinese) [王秋良 2006 高磁场超导磁体科学 (北京: 科学出版社)]
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