Static stress analysis of coupling superconducting solenoid coil assembly for muon ionization cooling experiment

Static stress analysis of coupling superconducting solenoid coil assembly for muon ionization cooling experiment 1 corresp first-author Corresponding author. E-mail address: panheng@hit.edu.cn Corresponding author. E-mail address: panheng@hit.edu.cn panheng@hit.edu.cn 1 1 1 1 Institute of Cryogenics and Superconductivity Technology, Harbin Institute of Technology, Harbin 150080, China Institute of Cryogenics and Superconductivity Technology, Harbin Institute of Technology, Harbin 150080, China The stresses in the coupling superconducting solenoid coil assembly, which is applied in the Muon Ionization Cooling Experiment (MICE), are critical for the structure design and mechanical stability because of a large diameter and relative high magnetic field. This paper presents an analytical stress solution for the MICE coupling coil assembly. The stress due to winding tension is calculated by assuming the coil package as a set of combined cylinders. The thermal and electromechanical stresses are obtained by solving the partial differential equations of displacement based on the power series expansion method. The analytical stress solution is proved to be feasible by calculating stresses in a tested superconducting solenoid with 2.58 m bore at room temperature. The analytical result of the MICE coupling coil is in good agreement with that of the finite element which shows that the transverse shear stress induced by Lorentz force is principally dominant to magnet instability. MICE superconducting magnet Stress analysis Mechanical stability References Wang L , Xu F Y , Wu H , et al . IEEE Trans. Appl Supercond , 2009 , 19 ( 3 ): 1344 - 1347 . IEEE Trans. Appl Supercond Wang L , Green M A , Xu F Y , et al . IEEE Trans Appl Superconduc , 2008 , 18 ( 2 ): 937 - 940 . IEEE Trans Appl Superconduc Li D R , Green M A , Virostek S P , et al . Proceedings of 2005 Particle Accelerator Conference , Knoxville, TN , 2005 , 3417 - 3420 . Gray W H , Ballou J K , J Appl Phys , 1977 , 48 ( 7 ): 3100 - 3109 . J Appl Phys Mitchell N , Mszanowski U , IEEE Trans Magn , 1992 , 28 ( 1 ): 226 - 229 . IEEE Trans Magn Markiewicz W D , Vaghar M R , Dixon I R , et al . J Appl Phys , 1999 , 86 ( 12 ): 7039 - 7051 . J Appl Phys Vaghar M R , Garmestani H . J Appl Mech , 2001 , 68 : 11 - 18 . J Appl Mech Cox W , Garmestani H , Markiewicz W D , et al . IEEE Trans Magn 1996 , 32 ( 4 ): 3012 - 3015 . IEEE Trans Magn Pan H , Wang L , Wu H , et al . Cryogen Supercond , 2009 , 37 ( 8 ): 14 - 17 (in Chinese) . Cryogen Supercond Wilson M N . Monographs on Cryogenics Superconduc-ting Magnets . Oxford, Oxford University Press , 1983 : 41 - 50 . Monographs on Cryogenics Superconduc-ting Magnets Bobrov E S , Williams J E C . IEEE Trans Appl Supercond , 1981 , 17 ( 1 ): 447 - 448 . IEEE Trans Appl Supercond WANG Q L . Science of high field superconducting magnets . Beijing, Science Press , 2008 : 157 - 163 (in Chinese) . Science of high field superconducting magnets Karasik V R , Kleshnina O A , Konjukhov A A , et al . Proceedings of Advances in Cryogenics Engineering, New York , 1992 , 37A : 40 - 48 . Proceedings of Advances in Cryogenics Engineering, New York Iwasa Y . IEEE Trans Magn , 1991 , 28 ( 1 ): 113 - 120 . IEEE Trans Magn 10.13538/j.1001-8042/nst.21.29-34 Supported by Funds of cryogenics and superconductivity technology innovation project under "985-2 Plan" of Harbin Institute of Technology, China and by the Office of Science, US Department of Energy under DOE contract DE-AC02-05CH11231 2009-08-28 2010-02-20 2021-01-19 2010 Nuclear Science and Techniques 01 21