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01-04-2021 | ELECTROMAGNETIC METHODS | Issue 4/2021

Russian Journal of Nondestructive Testing 4/2021

One Approach to the Numerical Solution of the Basic Equation of Magnetostatics for a Finite Cylinder in an Arbitrary External Field

Journal:
Russian Journal of Nondestructive Testing > Issue 4/2021
Authors:
V. V. Dyakin, O. V. Kudryashova, V. Ya. Raevskii

Abstract

We consider the direct problem of magnetostatics of calculating the strength of the resulting magnetic field of a uniform cylinder of finite dimensions placed in an external magnetic field of arbitrary configuration. With the help of rather lengthy analytical transformations using the basic properties of hypergeometric and Legendre functions, the solution of the basic three-dimensional magnetostatic equation for this configuration is reduced to solving a number of systems of three one-dimensional linear integral equations. A simplified form of these systems is obtained for the special cases of a constant external field and the resulting field on the cylinder axis.

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