Bondarevskiy S. Methods of analysis of local and reduced magnetic properties of doubly periodic structures with complex geometric and physical parameters.

Dissertation is devoted to the further development and generalization of the methods of analysis of local and reduced magnetic properties of doubly periodic structures based on nonlinear anisotropy and complex geometry of the discrete phase on the basis of the field approach, based on the method of integral equations with respect vector of magnetization of the medium. In the work it is substantiated the necessity of formulating of the universal condition of doubly periodic multicomponent heterogeneous structures, on the basis of which the periods which are the generators of the fundamental parallelogram periods are determined. Importance of this condition follows from the fact that all information about the heterogeneous structures is contained exactly in the basic parallelogram of the periods. Effectiveness and practical value of method of integral equations are confirmed by examples of calculations of the magnetic and force field of polygra-dient separators, filter matrix of which are regular doubly periodic structures formed by ferromagnetic bodies system of the same geometry. For assessing of extracting ability of separator influence of the shape of the matrix elements and features of the dynamics of motion of spherical particles in the process of their separation is analyzed. For linear doubly periodic environment with arbitrary lattice periods, the geometry of the discrete phase and the concentration of inclusions the method for determining the principal directions and principal values of the tensor ellipsoid, that gives in general solution of the problem of the reducing anisotropic heterogeneous medium are developed and implemented. Industry - electrical engineering (technical sciences).