TECHNICAL PAPERS
Feb 1, 1999

Instability of Superconducting Partial Torus with Two Pin Supports

Publication: Journal of Engineering Mechanics
Volume 125, Issue 2

Abstract

Further theoretical analysis is presented on the instability of superconducting magnets. A three-coil superconducting partial torus with two pin supports is described by a nonlinear theoretical model, which is composed of the theory of curved beams and the Biot-Savart law. A semianalytical and seminumerical program is used to obtain the solution to the nonlinear boundary-value equations of the coil. The influence of the location of two pin supports on the critical current is investigated in detail. The numerical results show that the deformation procedure can be well simulated by the theoretical model, and the critical current values of magnetoelastic stability of the coil are in good agreement with the existing experimental data.

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References

1.
Miya, K., Takagi, T., and Uesaka, M. ( 1980). “Finite element analysis of magnetoelastic buckling and experiments on a three-coil superconducting partial torus.” Mechanics of superconducting structures, F. C. Moon, ed., American Society of Mechanical Engineers, New York, 91–107.
2.
Miya, K., and Uesaka, M. ( 1982). “An application of finite element method to magnetomechanics of superconducting magnets for magnetic reactors.” Nuclear Engrg. and Des., 72, 275–296.
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Miya, K., Uesaka, M., and Moon, F. C. ( 1982). “Finite element analysis of vibration of toroidal field coils coupled with Laplace transform.” J. Appl. Mech., 49, 594–600.
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Moon, F. C. ( 1976). “Buckling of a superconducting coil nested in a three-coil toroidal segment.” J. Appl. Phys., 47, 920–921.
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Moon, F. C. ( 1984). Magneto-solid mechanics. Wiley, New York.
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Vlasov, V. Z., and Leontev, N. N. ( 1966). “Beams, plates, and shells on elastic foundations.” TTF-357, TT65-50135, National Aeronautics and Space Administration, Washington, D.C.
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Zhou, Y. H., and Miya, K. ( 1998). “Mechanical behavior of magnetoelastic interaction for superconducting helical magnets.” Fusion Engrg. and Des., 38, 283–293.
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Zhou, Y. H., Zheng, X. J., and Miya, K. ( 1995). “Magnetoelastic bending and buckling of three-coil superconducting partial torus.” Fusion Engrg. and Des., 30, 275–289.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 2February 1999
Pages: 174 - 179

History

Received: Apr 23, 1997
Published online: Feb 1, 1999
Published in print: Feb 1999

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Member, ASCE
Prof., Dept. of Mech., Lanzhou Univ., Lanzhou, 730000, P.R. China.
Prof., Dept. of Mech., Lanzhou Univ., Lanzhou, 730000, P.R. China.
Assoc. Prof., Dept. of Civ. and Envir. Engrg., Hanyang Univ., 396 Daehak-Dong, Ansan-Si, Kyunggi-Do, 425-791, Korea.

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