2(98)/2020-Математикаhttps://rep.ksu.kz//handle/data/99562024-05-23T00:52:40Z2024-05-23T00:52:40ZDevelopment of an algorithm for calculating the concentration of radiation defects during ion irradiationShmygaleva, T.A.Konysbayeva, A.A.https://rep.ksu.kz//handle/data/99752020-10-22T19:03:42Z2020-06-30T00:00:00ZDevelopment of an algorithm for calculating the concentration of radiation defects during ion irradiation
Shmygaleva, T.A.; Konysbayeva, A.A.
The paper considers mathematical modeling of radiation defect formation processes in materials under ion
irradiation. Algorithms for calculating cascade probability functions (CPF) taking into account energy,
spectra of primary knocked out atoms (PKA) and the concentration of radiation defects during ion
irradiation loss are presented. The defect concentration was calculated for various incident particles and
targets of the periodic table. The regularities of the behavior of the concentration of defects depending on
various physical parameters are revealed. The calculation algorithm is presented in the form of flowcharts.
The work was performed as part of the cascade-probability method, the essence of which is to obtain and
further use CPF. CPFs have the meaning of the probability that a particle generated at a certain depth h’
will reach the detection depth h after the nth number of collisions.
2020-06-30T00:00:00ZMapes of secondary sources in the problem of ERT probing 2D medium: numerical method and analytical solutionsRakisheva, D.S.Modin, I.N.Mukanova, B.G.https://rep.ksu.kz//handle/data/99742020-10-22T19:03:58Z2020-06-30T00:00:00ZMapes of secondary sources in the problem of ERT probing 2D medium: numerical method and analytical solutions
Rakisheva, D.S.; Modin, I.N.; Mukanova, B.G.
The paper considers a mathematical model of electrical tomography above the media with local inclusions.
Numerical solutions of a system of integral equations for a medium with local inclusion are compared
against a numerical implementation of the analytical solution of the problem for a case of a sphere in
homogeneous space. The parameters of local inclusion and the depth of heterogeneity are varied. Maps of
secondary sources in the ERT (Electrical Resistivity Tomography) probing problem are constructed: for
local inclusion in the form of the ellipsoid, an ellipsoid in a homogeneous space (analytical solution of the
problem) and for two-layer half-spaces as well. Numerical results are presented, and maps of secondary
sources in the cases where the immersed heterogeneity is an insulator and a conductor are computed.
2020-06-30T00:00:00ZFuzzy Multi-criteria Selection of Alternatives by Quasi-best Case as the Basis for Choosing Robotic Machine-Assembling TechnologiesKyrylovych, V.A.Dimitrov, L.V.Melnychuk, P.P.Belskiy, D.G.Shadura, V.A.Savkiv, V.B.Kryzhanivska, I.V.https://rep.ksu.kz//handle/data/99732020-10-22T19:03:57Z2020-06-30T00:00:00ZFuzzy Multi-criteria Selection of Alternatives by Quasi-best Case as the Basis for Choosing Robotic Machine-Assembling Technologies
Kyrylovych, V.A.; Dimitrov, L.V.; Melnychuk, P.P.; Belskiy, D.G.; Shadura, V.A.; Savkiv, V.B.; Kryzhanivska, I.V.
The process of choosing the robotic machine-assembling technologies (RMAT) is implemented as the
fuzzy multi-criteria selection of alternatives by the suggested previousely method of quasi-best case. The
basic concept feature of the given method is the developed specific correlations which are based on the
corresponding comparisons to better alternative Ð nd to the most important criterion. All the mentioned
above determines the practical and scientific value of this paper. The results of strict ranking of the elements
of local criteria discrete set (LCDS) are input dÐ ta. It is performed by the method of expert survey and at
the same time demonstrates RMAT phenomenon. The idea of selections the process of ordering constituents
of initially unordered LCDS elements which finally form ordered set. The selection is performed within the
set of these elements. The obtained ordering of RMAT phenomenon as a result of selection is recommended
to be analyzed in the process of choosing. The base of solving the task of RMAT selection is its formalized
description and on its base the generalized content formalisms of quasi-best case method are determined.
The performance of the presented the theoretical issues is demonstrated step-by-step with the real example
of the automated RMAT selection.
2020-06-30T00:00:00ZWave field in a strip with symmetric located holesAshirbayev, N.Ashirbayeva, Zh.Shomanbayeva, M.Altynbekov, Sh.https://rep.ksu.kz//handle/data/99722020-10-22T19:03:55Z2020-06-30T00:00:00ZWave field in a strip with symmetric located holes
Ashirbayev, N.; Ashirbayeva, Zh.; Shomanbayeva, M.; Altynbekov, Sh.
In the linear formulation, the problem of the propagation of unsteady stress waves in an elastic body with
symmetrically located rectangular holes is considered. Formulated in terms of stresses and velocities, the
mixed problem is modeled numerically using an explicit difference scheme of the end-to-end calculation
based on the method of spatial characteristics. The wave process is caused by applying an external
dynamic load on the front border of the rectangular region, and the side boundaries of the region are
free of stresses. The lower boundary of the rectangular region is rigidly fixed. The contour of symmetrically
arranged rectangular openings is free of stress. Based on the numerical technique developed in this work, the
calculated finite - difference relations of dynamic problems are obtained at the corner points of a rectangular
hole, where the "smoothness"of functions "familiar"to dynamic problems is violated. At these corner points,
the first and second derivatives of the desired functions suffer a discontinuity of the first kind. The isoline
presents the results of changes in wave fields in an elastic body with symmetrically located rectangular
holes. The concentration of dynamic stresses in the vicinity of the corner points of a rectangular hole is
investigated. By numerical implementation, the stability of computational algorithms for a sufficiently large
time is established.
2020-06-30T00:00:00Z