Abstract

Summary form only given, as follows. The problem of numerical-analytical calculation of current density distribution in the contact zone have been formulated in application to sliding contact of high current devices in electromechanics (for example, rail accelerator of macrobodies). A condition of ideal contact was used at arbitrary difference between diffusion coefficients of field into contacting media. At a high enough velocity of moving body (1.5-2.0 km/s and more) a relaxation time for a field is less significant than a time of body acceleration. This fact has enabled us to consider the stationary diffusion only at the highest range of velocity. Using the method of Green's functions, the calculation expressions and algorithm for building the 2D magnetic field and current density distribution are obtained in the approximation of stationary diffusion in the neighborhood of the angle point of contact at the rectangular form of the moving electrode's cross section. The expressions have been found for an asymptotic distribution of magnetic field along the border of media both in immediate closeness to angle point (neighboring asymptotics), and at some relatively large distance from it (far asymptotics). The integral equation with integrated nuclei has been obtained for a magnetic field on the contact border of the media. The algorithm of its solution has been realized and pictures of the field distribution at different ratio of electroconductivity coefficients for contacting media have been built. The results of work, besides the application to direct evaluation of possible concentration of the initial current distribution (before the thermal factors would be accounted), can be used for the test of numerical finite differences or finite elements schemes for calculation of current density distribution.

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