VESTNIK KAZNRTU <p>The periodical’s mission is to enlighten modern ideas, challenges of science and technology, the latest developments and researches for a wide range of experts. The reports of the results and research achievements by the scientists, post-graduate students, doctors of science, master’s degree manufacturers having priority class or theoretical and practical importance are provided in the periodical. The scientific articles: reviews, contemporary challenges, fundamental and applied researches are published here to the following subjects:</p> <ul> <li>physics and mathematics;</li> <li>engineering sciences;</li> <li>geosciences;</li> <li>chemistries and metallurgies.</li> </ul> <p>The journal is indexed by the Kazakh citation database and the international "INSPEC" database. Six periodicals are annually posted in the "National Inter-University Internet Library" database. </p> <ul> <li>ISSN 2709-4758 (Print); ISSN 2709-4766 (Online)</li> <li>Publication languages: Kazakh, Russian and English</li> <li>Frequency: 6 per a year</li> <li>Date and number of primary accounting - No. 1373-02.08.1994</li> <li>Date and number of re-registration - No.KZ22VPY00030188-15.12.2020</li> </ul> Vestnik KazNRTU en-US VESTNIK KAZNRTU 2709-4758 <p>&lt;div class="pkpfooter-son"&gt;<br />&lt;a rel="license" href=""&gt;&lt;img alt="Creative Commons License" style="border-width:0" src=""&gt;&lt;/a&gt;&lt;br&gt;This work is licensed under a &lt;a rel="license" href=""&gt;Creative Commons Attribution-NonCommercial 4.0 International License&lt;/a&gt;.<br />&lt;/div&gt;</p> Study of the effect of pre-concentration on polymetallic ore grindability <p>Due to the decline in the quality of processed ores, the involvement in processing of poor, off-balance sheet and refractory ores, pre-enrichment processes becomes significant. Enrichment of large-piece crushed ores, due to the allocation of waste rock in the head of the technological process, allows to increase the content of useful metals, improve technological properties and improve the efficiency of ore preparation processes. On the polymetallic ore deposit of Shalkiya, studies have been carried out to assess the impact on the shredding process of pre-enriched crushed ore. The impact assessment was carried out by comparing unit performance indicators for the newly formed class Q. It has been determined that the use of the pre-enrichment process of crushed ore improves the efficiency of the process grinding by removing a piece of empty rock represented by the minerals of the elevated fortress.</p> Sh. Telkov I. Motovilov M. Barmenshinova Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 675 680 10.51301/ To the question of intensification on ion-exchange processes in uranium production by the underground leaching borehole method by exposure to ultrasonic. Researching of the ultrasonic exposure at the ion-exchanged resin <p>This article aims to research the ultrasonic effects on the ion-exchange resin of the underground leaching borehole method mine in order to intensify ion exchange processes in the production of uranium by underground leaching borehole method. In particular, intensification of the ion exchange resin purification process from silicon compounds. It was also necessary to evaluate the effect of ultrasonic on the mechanical strength of the ion-exchange resin grains.</p> A.V. Kononov B.O. Duisebayev S.N. Goncharenko T.A. Ketegenov Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 681 688 10.51301/ The study of dynamic chaos, and correlations in the current-voltage characteristics nanostructured silicon <p>The voltage-current characteristics of a porous nanostructured film obtained using fractal theory were studied using dynamic chaos methods. The emergence of deterministic chaos is investigated by studying the stability that characterizes the nonlinear equation of a fractal measure.the Lyapunov exponent was used to describe the instability. In addition, the correlation function was studied.</p> Z.Zh. Zhanabaev D.A. Turlykozhayeva N.M. Ussipov Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 598 602 10.51301/ Tensed-deforming condition of elastic layer with cavity on rigid base <p>One of the aboveground and underground construction modern problems is record problems and pressure acting on bases. This is acute problem in the design and construction of large industrial buildings and military facilities that are under of statistical and dynamic strain. Movements during fluctuation and other impacts of large constructions and their bases, dynamic forces and stresses arising in them can cause deformation and damage, and lead to incorrect precipitation and foundation rolls. As is known from practical life, shocks and vibrations in earthquakes can significantly affect the strength of the soil and foundation, therefore the construction lose stability and collapse. In this regard, the base mechanical state study, the base parameters changes regularity detection allows qualitatively and quantify the effects of external forces in construction. Our work aim is studying the waves spreading in the elastic layer with a cavity on a rigid base under the dynamic stress from the day surface.&nbsp;This problem is solved by mechanical-mathematical modeling with application of the S.C. Godunov method of "discontinuity disintegration". This method application is effective for hyperbolic type quasi-linear systems equations numerical integration and gas dynamics wide range problems solution, as well as for other sections of continuous environment mechanics. This scheme presents a visual physical interpretation corresponding to the selection of a differential grid with averaged values of physical quantities. As a result of the interaction of two adjacent cells with different states, mass, pulse and energy flow through the common boundary of the cells. These flows quantities can be calculated by calculation the corresponding tasks of discontinuity disintegration.</p> G.K. Тugelbayeva Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 603 611 10.51301/ Development of multimedia support for classes in the section «Discrete mathematics» <p>The specialized multimedia support of the course of lectures and practical classes on the section "Discrete mathematics" on the discipline "Mathematical logic and discrete mathematics" in Russian and English in Microsoft PowerPoint is developed. The created multimedia support of classes can be used in the educational process during classes, for independent work, as well as by students studying with the use of DET.</p> А.А. Baimurzina S.M. Lutsak Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 612 621 10.51301/ Analysis of algorithms for solution of block-symmetric problems <p>The paper considers the analysis of algorithms for solving block-symmetric problems. The analysis is verified by a numerical example. Depending on the definition of the minimum element in the matrices of the direction of the search for solutions, an accelerated and accurate algorithm for solving problems is identified.</p> G.Z. Kaziyev А.А. Taurbekova K.ZH. Doshtaev Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 622 625 10.51301/ Mathematical modeling of trends in the dynamics of production systems <p>The main source of harmful substances in the exhaust gases of a car is the engine. Fuel consumption and exhaust emissions while the vehicle is in motion depends on the mode of operation of the engine, the driver and the road conditions. Mathematical models based on a deeper level of physical description of ecological systems are necessary for reliable analysis and prediction of the ecological situation and determination of optimal modes of operation of vehicles. The paper deals with new mathematical models for forecasting trend of ecologic-economic systems on the base of balance relations and logistic equations. It is shown that both non-monotonous and non-smooth behaviour of ecologic-economic systems can be described by the help of linear relaxation models with delaying arguments.</p> B. Yedilbayev A. Brener A. Shokanova G. Anarbekova А. Abylkasymova Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 626 634 10.51301/ Weighted estimate of a class of quasilinear discrete operators <p>In recent years, weighted estimates for various classes of quasilinear operators have been intensively studied, which have an important application in the study of boundedness properties of operators from a Lebesgue weighted space to a local space of Morrey type, as well as in the study of bilinear operators in weighted Lebesgue spaces. The discrete case of quasilinear inequalities is an open problem. In this paper, we consider the weighted inequality for one class of a quasilinear discrete operator, namely, the weighted estimate of the iteration of the discrete Hardy operator in weighted spaces of sequences.</p> A.M. Temirkhanova B.K. Omarbayeva Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 635 642 10.51301/ Scientific research implementation of the results of the work in the electronic special course «selected questions of physics of dense plasma of inertial fusion» <p>The main goal of implementing an learning system in the field of education is to ensure equal access of all participants in the educational process to the best educational resources and technologies. And to achieve this goal, it is necessary to create conditions for the introduction of automation of the educational process. Achieving the goal of improving the quality of education, the effectiveness of education management, and information integration with the external environment.</p> N.T. Zhetenbaev G.S. Yusupova N.Kh. Bastykova Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 643 646 10.51301/ Dynamics of waves in gardner equation <p>In this paper, we investigate the one-dimensional Gardner equation. This equation is the combined KdV-mKdV equation and describes nonlinear wave effects in a number of physical contexts.&nbsp; We obtain exact solutions for the one-dimensional Gardner equation by the modified Kudryashov method. The dynamics of waves in Gardner's equation are studied.</p> G.N. Shaikhova B.B. Kutum B.K. Rakhimzhanov Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 647 650 10.51301/ Nonlinear analysis of photographic images of the atmosphere of the giant planet Jupiter <p>The proposed research work is a new direction in the analysis of photographic images of the atmosphere of the giant planet Jupiter. In this work, the dynamic chaos method based on information-entropy analysis was used to describe the structure of the atmospheric flow of the planet Jupiter. An algorithm for calculating nonlinear characteristics for two – dimensional signals has been developed in the MatLab computer simulation environment. As a result of studying the atmosphere of Jupiter, a quantitative characteristic was carried out and patterns of changes in the flows observed in the atmosphere were revealed. From June 1999 to December 2018, about a thousand drawings were processed. The study revealed a decrease in self- similar entropy calculated using a nonlinear multifractal spectrum in images of the Jupiter atmosphere and an increase in the two-dimensional form of the coefficient.</p> М.Е. Жумадиллаева M.K. Alpysbay N.Sh. Alimgazinova Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 651 658 10.51301/ On the optimum discretization in metric of solutions of Klein - Gordon equations with initial conditions from Nikolsky's classes <p>The classical solution of the Klein - Gordon equation with initial conditions from Nikolsky's periodic classes is represented as the sum of absolutely convergent multiple series. Therefore, the problem arises of discretization of solutions of the Klein - Gordon equation by computational aggregates constructed from finite numerical information obtained from the initial conditions. In the present work, using the trigonometric Fourier coefficients of the initial conditions as numerical information, the problem of discretization in metric of the solutions of the Klein – Gordon equation is completely&nbsp; solved.</p> A.B. Utessov G.I. Utessova Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 659 667 10.51301/ Solutions of integral-differential systems containing a parameter in equations with a pulse boundary condition by the parameterization method <p>For a system of integro - differential equations with parameters in equations, the method of parameterization by parameters was used. Using the properties of the resolvent of the integral equation, the problem is reduced to an integro-differential equation that does not have a derivative on the right side of the equation. Further, on the basis of the parameterization method, algorithms for finding a solution for a system of integro-differential equations with impulse boundary conditions are proposed. By entering new parameters, the problem is reduced to a system of linear equations with respect to the entered parameters and to a special Cauchy problem.</p> Kh.I. Usmanov K.J. Nazarova A.S. Zhappar Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 668 674 10.51301/ Baggage loading control system - BRS in transport complexes <p>The IS-BRS baggage loading control system is designed to track each piece of baggage at all stages of technological processing and ensures guaranteed loading of baggage only with the passenger. Thanks to this, the system allows you to minimize and even eliminate baggage.</p> Z.E. Konakbay I. Asilbekova A. Abgapbarova Copyright (c) 2021 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 106 112 10.51301/ Studies of the influence of ethno-territorial factors on the distribution of foot sizes <p>The paper presents the results of the study of the feet of different groups of the population. Defined by different dimensional characteristics stop. The characteristics of the distribution of feet in the studied team are revealed. Links have been established between the dimension parameters of stop.</p> L.H. Yussupova S.E. Munasipov A.R. Sokolovsky Copyright (c) 2021 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 113 118 10.51301/ Comprehensive study and evaluation of the construction properties of the shoktas sands <p style="text-align: justify;">The article presents the problems of complex assessment of construction properties of sand of the Shoktas Deposit. General information about Sands as natural structures was presented. The main principles of the genetic approach to the study of Sands for construction purposes are set out for suggestions on the purpose of research points and the choice of research methods for engineering and geological surveys. The features of field and laboratory methods for studying the composition, structure, state and properties of sand are described. Proposals for the integration of research methods are presented and its technical and economic efficiency is justified.</p> M.D. Mamadiyarov S.K. Kurbaniyazov B.Zh Izenbaev N.A. Abdіmүtәlіp A.A. Abdrasilov Copyright (c) 2021 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 3 6 10.51301/ Research of shoktas sands suitable for use in the construction industry <p>The article describes the characteristics of the alluvial Sands of the Shoktas Deposit. They are characterized by a type of long-lens deposits, whose length reaches several kilometers, the proportion of which is up to ten meters. By section, the grain and mineral composition of gravel and sand material is usually not maintained. The sorting of the fracture material is varied: in mountain sections of rivers, the smallest and the largest in flat areas and deltas of rivers. The alluvium of mountain rivers is mainly represented by large scrap material, River-gravel-galactic material in the foothills, flat rivers and Delta Sands and gravel-sand mixtures. Deposits of sand and sand-gravel material formed in modern riverbeds and floodplains have a temporary nature with movement in space, changing their shape and size. Mineral-petrographic, chemical composition, the ratio of different size fractions, siltstone, pelite, the composition of organic and other impurities, physical-mechanical and other properties determine the possibility and rational direction of using sand and gravel in any industry in natural or enriched (washed, classified, fractionated) form.</p> S.K. Kurbaniyazov M.D. Mamadiyarov B.Zh. Izenbaev N.A. Abdіmүtаlіp Sh. Belasarova Copyright (c) 2021 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 7 11 10.51301/ Formation of the database for the evaluation of engineering-geological conditions of deposits in 3d environment <p>The significance of the database for assessing the engineering and geological conditions of deposits in modern computer technology using 3D modeling is considered. These works, in turn, play a large role in achieving safe and rational mining of ore bodies within deposits. Therefore, the development of this direction in our country today is of high relevance, since it has important practical importance in the development of deposits on the basis of mining enterprises.</p> Т. Shaiyakhmet Copyright (c) 2020 VESTNIK KAZNRTU 2020-07-28 2020-07-28 140 4 98 105 10.51301/