Abstract
In terms of the general theory of magnetization of thin-walled sheaths, magnetization of a thin-walled indefinitely long circular cylindrical sheath that is placed in an external magnetic field and experiences the action of an internal magnetic field from the Rayleigh range is considered. It is shown that the solution of the problem can be reduced to solving infinite sets of nonlinear equations in the coefficients of Fourier series representing the components of the magnetization and internal magnetic field strength that are averaged over the thickness of the sheath and tangent to its surface. Approximate solutions to these sets of equations are obtained, and expressions for the coefficients multiplying the first terms of the series are given.
This is a preview of subscription content, log in via an institution to check access.
References
L. A. Tseitlin, Zh. Tekh. Fiz. 28, 1326 (1958).
I. P. Krasnov, Computational Methods for Ship Magnetism and Electro Engineering (Sudostroenie, Leningrad, 1986) [in Russian].
A. Vishnevsky, I. Krasnov, and A. Lapovok, IEEE Trans. Magn. 29, 2152 (1993).
A. Vishnevsky, I. Krasnov, and A. Lapovok, IEEE Trans. Magn. 38, 489 (2002).
S. G. Vonsovskii, Magnetism (GITLL, Moscow-Leningrad, 1952; Wiley, New York, 1974).
I. I. Privalov, Fourier Series (GTTI, Moscow, 1934) [in Russian].
W. R. Smythe, Static and Dynamic Electricity (McGraw- Hill, New York, 1950; Inostrannaya Literatura, Moscow, 1954).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.M. Priemskii, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 2, pp. 132–134
Rights and permissions
About this article
Cite this article
Priemskii, M.M. On the magnetization of a thin-walled cylindrical sheath with a magnetic field from the Rayleigh range inside. Tech. Phys. 54, 298–300 (2009). https://doi.org/10.1134/S1063784209020212
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784209020212