Finite Element Analysis of Vibration of Toroidal Field Coils Coupled With Laplace Transform

[+] Author and Article Information
K. Miya, M. Uesaka

University of Tokyo, Tokai-Mura, Ibaraki-Prefecture, 319-11, Japan

F. C. Moon

Cornell University, Ithaca, N.Y. 14850

J. Appl. Mech 49(3), 594-600 (Sep 01, 1982) (7 pages) doi:10.1115/1.3162533 History: Received June 01, 1981; Revised February 01, 1982; Online July 21, 2009


A numerical analysis of a vibration of toroidal field coils in a magnetic fusion reactor is shown here on the basis of the finite element method coupled with Laplace transform. Lagrangian consisting of kinetic, elastic strain, and magnetic energies was utilized to deduce equations of motion of the coils. The equations were solved numerically by applying the Laplace transform to a formulation with respect to time and the finite element method to one with respect to space. The Fast Fourier Transform algorithm was utilized for a calculation of the inverse Laplace transform to obtain a nodal vector of the coil’s displacement in the original domain. Numerical results reasonably explain a dependency of the coil current on a frequency of the coil.

Copyright © 1982 by ASME
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