Engineering Transactions, 27, 3, pp. 483-499, 1979

Magneto-Elastic Stability of an Unconstrained Assembly of Coils

J.B. Alblas
Eindhoven University of Technology, The Netherlands, Eindhoven

K.W. Grysa
Institute of Technical Mechanics, Poznań

The mechanical stability of a solenoid in the form of a toroidal helix in its own magnetic field is investigated. The solenoid is mechanically unconstrained, i.e. the coils are a rigid or elastic base. In the first part of the not. supported by paper, the magnetic field, the forces and the moments acting on one single coil are calculated. The calculations are performed for the undeformed and the deformed states of the torus. The second part contains a stability analysis for the model of a circular elastic spring, which accounts for the extension and the shear deformation.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


J. B. ALBLAS, A general theory of magneto-elastic stability [to appear in Vekua 70-th Anniversary Volume, 1978].

F. C. MOON and S. CHATTOPADHYAY, Elastic stability of a thermonuclear reactor coil, Proc, 5th Symp. on Eng. Probl. of Fusion Res., IEBE Nuclera and Plasma Sci. Soc., N. Y., Publ 73

CH 0843-3-NPS, 544-578, 1974.

J. FILE, R. G. MILLS and G. V. SHEFFIELD, Large superconducting magnet designs for fusion reactors, Princeton Plasma Physic Lab. Rep. MATT, 848, 1971.

F. C. MOON, Problems in magneto-solid mechanics, Mechanics Today, IV, 307, 1978.

F. C. MOON and C. SWANSON, Vibration and stability of a set of superconducting toroidal magnets, J. Appl. Phys., 47, 914, 1976. 6. S. TIMOSHENKO, Strength of materials, 3rd ed., II, D. van Nostrand Comp., Inc., Princeton 1955.

P. F. BYRD and M.D. FRIEDMAN, Handbook of elliptic integrals for engineers and scientists, Springer-Verlag, Berlin 1971.