Science and Education a New Dimension
Iss. 158. 2018.
O. O. Kurchenko, O. O. Syniavska Remark to the definition of the limit of a function in terms of the sequences
https://doi.org/10.31174/SEND-NT2018-158VI18-01
Abstract. In this paper we consider two equivalent definitions of limit of a function of a real variable: in term of 𝜀 − 𝛿 (Cauchy’s definition) and in term of sequences (Heine’s definition). We show that a condition of strictly monotonic we can be used to the sequences in the Heine’s definition without loss of equivalence Cauchy’s definition.
Keywords: limit of a function,limit point, definition of limit of a function.
O. O. Kurchenko, O. O. Syniavska Remark to the definition of the limit of a function in terms of the sequences
D. O. Protektor, D. A. Lisin Computer modeling system for solving two-dimensional boundary value problems using meshless approach
https://doi.org/10.31174/SEND-NT2018-158VI18-02
Abstract. The computer simulation system «MHT2D» was developed and implemented for the numerical solution of two-dimensional nonstationary heat conduction problems by meshless method using radial basis functions. In computer simulation system there are available the following basis functions: Gaussian, multiquadric, inverse quadratic and inverse multiquadric. «MHT2D» uses a combination of method of discretiza- tion in time with method of fundamental solutions and method of particular solutions, which results with a completely meshless approach.
Keywords: meshless method, radial basis functions, boundary value problems, nonstationary heat conduction problems.
D. O. Protektor, D. A. Lisin Computer modeling system for solving two-dimensional boundary value problems using meshless approach
V. Denysiuk, Е. Negodenko Mathematical models on the basis of fundamental trigonometric splines
https://doi.org/10.31174/NT2018-158VI18-03
Abstract. The paper considers some systems of basic functions which are easy to be used in the interpolation problems. The most well- known today systems of basic functions include Lagrange system of basic functions and the systems of complete, even and odd basic trigonometric polynomials. However, there are some other systems of basic functions on analytical grid, including the systems of polynomial basic splines and trigonometric complete, even and odd basic splines. Some of these systems are considered in this paper.
Keywords: basic functions, Lagrange functions, interpolation, simple polynomial splines, trigonometric splines.
V. Denysiuk, Е. Negodenko Mathematical models on the basis of fundamental trigonometric splines
S. M. Yaroshko, S. A. Yaroshko Solving the Spectral Problems by the Modified Method of Successive Approximations
https://doi.org/10.31174/NT2018-158VI18-04
Abstract. We describe an effective numerical method of solving the complete spectral problem with a given linear completely continuous operator (or with a polynomial pencil of such operators) acting in a functional normed space. We use the modified method of successive approximations (MMSA) to calculate the eigenvalues (single and multiple), eigenfunctions and associated functions of the operator. We can make a posteriori estimation of the accuracy of the obtained values. The theorem about MMSA convergence and the technique of the accuracy estimation are formulated in this paper. Besides that, some examples of MMSA applications are demonstrated.
Keywords: eigenvalue, eigenfunction, associated function, completely continuous operator, pencil of operators.
S. M. Yaroshko, S. A. Yaroshko Solving the Spectral Problems by the Modified Method of Successive Approximations
I. V. Yurchenko, V. S. Sikora Stability of the solution of stochastic partial differential equation with random parameters
https://doi.org/10.31174/NT2018-158VI18-05
Abstract. The existence of a strong solution of the linear stochastic partial differential equation (LSPDE) in the corresponding space with random parameters is proved. The sufficient conditions are obtained for the asymptotic stability and mean square instability of the strong solution of the LSPDE.
Keywords: stochastic partial differential equation, mean square stability, asymptotic stability.
I. V. Yurchenko, V. S. Sikora Stability of the solution of stochastic partial differential equation with random parameters
O. V. Barabash, N. V. Lukova-Chuiko, A. P. Musienko, I. P. Salanda Diagnostic model of wireless sensor network based on the random test of checks
https://doi.org/10.31174/NT2018-158VI18-06
Abstract. In the article it is offered definition characteristics the sufficient of diagnostic information through characteristic numbers of structure of the wireless sensor network, which is located in a particular area. This technique facilitates the evaluation of the sufficiency of accumulated diagnostic information structure of the wireless sensor network to further define the technical state of sensor networks. Also, it is shown, that the proposed feature sufficient of diagnostic information with its subsequent decryption it is allows to limit the accumulation of audit results in the network.
Keywords: wireless sensor network, characteristic number, decryption, diagnostic information.
O. V. Barabash, N. V. Lukova-Chuiko, A. P. Musienko, I. P. Salanda Diagnostic model of wireless sensor network based on the random test of checks
O. V. Barabash, O. M. Gorskiy, V. V. Zuiko Using of thesaurus-oriented procedures in quality management of training of socio-technical systems operators
https://doi.org/10.31174/NT2018-158VI18-07
Abstract. Questions of the methodology of ensuring the functional stability of complex systems are considered. It is shown that the high complexity of the activities of operators in abnormal situations is associated with an exponential increase in the amount of information processed. Based on the adaptive-thesaurus approach to the training of the operator, the methodological requirements for the management of the quality of the operator’s preparedness in the conditions of restrictions on the terms and volumes of training are defined.
Keywords: socio-technical organizational system, functional stability, thesaurus.
O. V. Barabash, O. M. Gorskiy, V. V. Zuiko Using of thesaurus-oriented procedures in quality management of training of socio-technical systems operators
L. Bilotska, N. Bilei-Ruban, S. Lozovenko, Ju. Kharchenko The Ensuring of the Industrial Production Energy Efficiency Based on the Principles of Optimization
https://doi.org/10.31174/NT2018-158VI18-08
Abstract. The task of optimization of the industrial products quality with a restriction on the material and energy costs is considered. The simplex method of linear programming is used to find the solution of this task, provides for the definition of the initial reference plan and verifying the resulting plan for optimality. Various solutions are presented for solving the optimization task, which are determined by a combination of input data.
Keywords: Optimization of the industrial products quality, linear programming, cost, energy costs
L. Bilotska, N. Bilei-Ruban, S. Lozovenko, Ju. Kharchenko The Ensuring of the Industrial Production Energy Efficiency Based on the Principles of Optimization
R. S. Boris, V. A. Titov, O. V. Holiavik Theoretical calculation of the conditions for filling the relief when connecting dissimilar metals by pulling with thinning
https://doi.org/10.31174/NT2018-158VI18-09
Abstract. A comprehensive methodology of theoretical studies drawing process with a two-layer preform thinning of dissimilar metals with the relief of the boundary surface. Using the theory of plastic flow mathematical model of deformation of the joint drawing process with thinning of two dissimilar metals with heating under plane strain state, which allowed to establish the relationship parameters of the stress-strain state at the interface and the degree of deformation thinning with initial geometrical parameters of the workpiece, and analyze the necessary conditions for the boundary surface relief fill.
Keywords: stress-strain state, the components of the stress and strain rate, dissimilar metals, the boundary surface, the degree of deformation, surface topography, extract with thinning, two-layer preform, the geometric parameters of the original piece.
R. S. Boris, V. A. Titov, O. V. Holiavik Theoretical calculation of the conditions for filling the relief when connecting dissimilar metals by pulling with thinning
T. V. Bulgakova Algorithm for calculation of solid angles on 3-dimensional objects for analysis of urban environment
https://doi.org/10.31174/NT2018-158VI18-10
Abstract. The article is a continuation of the author’s scientific work on the development of a city analysis tool based on the simulation of the visual perception of the environment without the use of perspective projections and devoted to the development of the algorithm for calculating solid angles to 3-dimensional objects. In this paper, we propose to design a three-dimensional model on the face of the cube with the center at the point of view, thus dividing it into a set of adjacent convex domains, for each of them to con- struct the triangulation of Delone and determine the solid angle. The problem of finding a solid angle is solved, under which a projec- tion of a certain surface given by the equations of the projection boundaries, coordinates of the angular points can be seen from a given point O (x0, y0, z0). The developed algorithm for calculating solid angles to 3-dimensional objects is the basis for further modeling of the visual perception of the architectural environment and enables to automate the process of determining the quantitative parameters of characteristics of city development.
Keywords: solid angle, 3-dimensional objects, algorithm, Delaunay triangulation, urban environment analysis.
T. V. Bulgakova Algorithm for calculation of solid angles on 3-dimensional objects for analysis of urban environment
I. A. Burmaka, S. S. Pasechnyuk Choice of joint strategy of divergence of vessels by the change of parameters of motion at their external management
https://doi.org/10.31174/NT2018-158VI18-11
Abstract. Analytical expressions of scopes of regions of dangerous courses and dangerous speeds are resulted, which forming of these regions at the external process control of divergence of vessels is carried out by. Procedures of estimation of danger of rapprochement of vessels and maneuver of their divergence by the region of dangerous courses and region of their dangerous speeds are considered. The formulas of scopes of region of impermissible values of courses of one ship and speeds of the second ship are got and procedure of its graphic reflection is offered.
Keywords: safety of navigator, divergence of vessels, external process control of divergence, region of dangerous parameters of motion of vessels.
I. A. Burmaka, S. S. Pasechnyuk Choice of joint strategy of divergence of vessels by the change of parameters of motion at their external management
V. Dmitriev Research of the technical characteristics of the electromechanical drive system of spiral classifier
https://doi.org/10.31174/NT2018-158VI18-12
Annotation. The sources of forced oscillations of the electromechanical system of the spiral classifier under the action of the disturbing moment from the portion of sand between the lugs are considered. Spectral analysis of the power signal consumed by the spiral drive is performed and the estimation of the possibility of using the amplitude-frequency characteristics of the oscillations for the tasks of automatic monitoring of technical and technological parameters is given.
Keywords: spiral classifier, electromechanical system, spectral decomposition of the signal, automatic control.
V. Dmitriev Research of the technical characteristics of the electromechanical drive system of spiral classifier
T. V. Gulyaeva, O. V. Tatarchuk, L. V. Gulyaeva Magnetic damper for aircraft engine D436T
https://doi.org/10.31174/NT2018-158VI18-13
Abstract. The article discusses the design of a magnetic damper to fix the problem the occurrence of resonance, leading to vibration of the shaft at high speeds. When creating engines of large bypass ratio and large rotor speeds are crucial questions speakers. The most effective means of reducing the level of vibrations and dynamic loads at the nodes of the motors is the use of damper supports. For the final determination of the effectiveness of the type of damper selected and designed for this engine, it is necessary to perform experimental work. When fine-tuning the engine D-436T1 (special examination for the fan wheel) at 5900 rpm fan…6100 rpm had increased engine vibration at frequencies of the rotor due to resonance vibrations of the shaft of the fan. These oscillations were caused by the bending of the shaft of the fan and tapping it into stator and rotor parts of the compressor low pressure. A change in the design of the fan shaft to eliminate resonance was impossible. Domain service fan wheel and fan design coil spring / oil damper was not provided to prevent resonance. To solve the problem of design of a magnetic damper that allows you to change the technology of Assembly of the engine and provide its operation on all modes. The analysis of magnetic materials that can be used in the damper based on the design features and maximize the stiffness of the damper. Analyzed three systems: Sm-Co, Fe-Nd-B and Fe-Nd-C, from which we can conclude that magnetic characteristics of the most printlevel may be the system Fe-Nd-B. At the moment developed the design of the fan shaft with magnetic damper is at the stage of experimental work to determine the effect of magnetic field on the details that surround the damper in the first place, on the parts of the bearing and the efficiency of the damping
Keywords: magnetic damper, axial force, radial force, the stiffness of the damper, the coercive force, residual induction.
T. V. Gulyaeva, O. V. Tatarchuk, L. V. Gulyaeva Magnetic damper for aircraft engine D436T
I. Klymenko, O. Storozhuk, Y. Kulakov The method of transforming algorithms’ graphs for tasks mapping in the dynamically reconfigurable computer systems
https://doi.org/10.31174/NT2018-158VI18-14
Abstract. This article is dedicated to resolves the problem of reducing time overheads of task mapping process on dynamically reconfigurable computing structure in the reconfigurable computer systems based on FPGA. The proposed mathematical models for the basic stages of the data processing take into account the influence of the configuration data loading delay on the efficient of the reconfigurable computation. Based on these models we propose the method of transforming algorithms’ graphs for tasks adaptive mapping in the dynamic reconfigurable computer systems. Simulation of the proposed means showed that the proposed approach allows reducing time overheads and improving the efficiency of reconfigurable computing for resolving tasks with frequent repetitions of the same type of functions.
Keywords: Reconfigurable Computer Systems, Reconfiguration overhead, Partial dynamic reconfiguration, FPGA, Field Programmable Gate Array.
I. Klymenko, O. Storozhuk, Y. Kulakov The method of transforming algorithms’ graphs for tasks mapping in the dynamically reconfigurable computer systems
S. Kvitka, A. Vovk, D. Nesterchuk, A. Strebkov Method of determining heat additional wear of isolation of three-phase induction motor in the post launch period
https://doi.org/10.31174/NT2018-158VI18-15
Abstract. The thermal transition process at the start-up of asynchronous electric motors, and process heat insulation degradation in post launch period. On the basis of the conducted research, the obtained expressions to define additional thermal insulation degradation induction motor in the post launch period is justified and allowable additional thermal wear for one emergency start-up mode. The obtained results can be used for development of devices for functional diagnostics of electric motors and protect them from emergency starting mode.
Keywords: induction motor, thermal wear, insulation, diagnostics, afterstarting period.
S. Kvitka, A. Vovk, D. Nesterchuk, A. Strebkov Method of determining heat additional wear of isolation of three-phase induction motor in the post launch period
K. Kyrychenko, O. Shchedrolosiev Improvement of technology construction of composite floating docks of great lift
https://doi.org/10.31174/NT2018-158VI18-17
Abstract. the paper presents the technology of manufacturing thin-walled structures for pontoons of composite floating docks based on modified concrete. The technology of construction of composite floating docks is presented, which made it possible to transfer a significant part of the works to the molding and hull-assembly sections of the hull workshop and from the slipways to the shipyard workshops. The technology of manufacturing welded reinforcing cages of reinforced concrete pontoon dock sections is also presented in this paper. The pontoon scheme for the construction of docks with a reduced number of sets is given.
Keywords: floating composite dock, reinforced concrete sections, pontoon, concrete.
K. Kyrychenko, O. Shchedrolosiev Improvement of technology construction of composite floating docks of great lift
D. O. Ladychuk, N. M. Shaporynska, М. М. Voloshуn, V. D. Ladychuk Method of determination of antropogenic changed landscapes for the projects for reclamative building in the steppe zone of Ukraine
https://doi.org/10.31174/NT2018-158VI18-18
Abstract. The paper represents the method of typiration considering a landscape as the system of interconnected components which can be only indicator or factor indexes. It is possible on the basis of the existing methods of typiration of territories for reclamation construction and on the basis of many years of our own research.
Keywords: typicality, anthropogenically changed landscape, reclamation regime, indicator indicators, factor indicators, integrated indicators.
D. O. Ladychuk, N. M. Shaporynska, М. М. Voloshуn, V. D. Ladychuk Method of determination of antropogenic changed landscapes for the projects for reclamative building in the steppe zone of Ukraine
E. N. Pyatakov, V. E. Pyatakov, T. Yu. Omelchenko Method of determination of safe maneuver of divergence of ship by the change of course in the situation of dangerous rapprochement with two targets
https://doi.org/10.31174/NT2018-158VI18-19
Abstract. For the situation of rapprochement of ship with two targets the method of forming of regions of impermissible values of parameters of motion of ship in relation to each of them is offered. Procedure of estimation of danger of arising up situation of rapprochement on every purpose is got by application of the formed regions. Possibility of choice of maneuver of divergence by common deviation from two targets by the regions of impermissible values of parameters of motion of ship is shown. As an example three situations of rapprochement of ship with two targets are considered.
Keywords: safety of navigations, process of divergence of vessels, region of impermissible parameters, maneuver by common deviation.
E. N. Pyatakov, V. E. Pyatakov, T. Yu. Omelchenko Method of determination of safe maneuver of divergence of ship by the change of course in the situation of dangerous rapprochement with two targets
O. V. Stepanets, K. N. Nikolaieva, S. V. Lubitskyi, D. A. Kondratenko, D. A. Poputnikov Dispatching and digital solutions as a concept of urban infrastructure in a smart city
https://doi.org/10.31174/NT2018-158VI18-20
Abstract. The article describes the concept of a smart city creating with the help of modern devices and solutions in the field of automation. It is based on a research project «Smart-city garbage and logistic systems», created on the basis of the university. It is described the implementation of a dispatch control system by municipal services of the city. The authors also showed how, by means of integrating the management systems of the individual city services, to increase the safety and comfort of residents, improve the management of the lighting system, prevent accidents and provide timely service of the city.
Keywords: Smart city, dispatching, control system, logistic, municipal services automation.
O. V. Stepanets, K. N. Nikolaieva, S. V. Lubitskyi, D. A. Kondratenko, D. A. Poputnikov Dispatching and digital solutions as a concept of urban infrastructure in a smart city
Ye. A. Vlasenko, I. А. Burmaka Determination of maximal value of horizontal constituent of forces of inertias, operating on a cargo at rolling of ship
https://doi.org/10.31174/NT2018-158VI18-21
Abstract. The formulas of calculation of current values of angles of roll and pitch arising up at rolling of ship are offered. Analytical expressions for estimation of values of longitudinal and transversal making forces of inertia are resulted, generated by the side, careening and vertical tossing of ship. Procedure of calculation of maximal value of horizontal constituent of forces of inertias is developed, operating on a cargo at rolling of ship, expression of calculation of moment of time of achievement of maximum of horizontal constituent is thus got the method of simple iterations, as well as its sizes. The numeral example of calculation of making forces of inertia by the computer program is resulted.
Keywords: nautical safety, rolling of ship, forces of inertia and their constituents.
Ye. A. Vlasenko, I. А. Burmaka Determination of maximal value of horizontal constituent of forces of inertias, operating on a cargo at rolling of ship
I. I. Vorokhobin, I. Y. Fusar, B. M. Alekseychuk Analysis of possibility of application of orthogonal decomposition of closeness of the mixed laws of distributing of errors by the Ermyt's polynomials
https://doi.org/10.31174/NT2018-158VI18-22
Abstract. For the mixed laws of probability distribution of errors of the first and second types analytical expressions of standard are resulted and the rationed closenesses. The numeral values of rationing multipliers and fourth central moments for the rationed closenesses with the value of substantial parameter are expected, not excelling 10. Expression of optimum orthogonal decomposition with one member is offered, which maximal coincidence with the rationed closeness is characteristic for. The calculation of the crooked rationed closenesses of the mixed laws of the first and second type and their proper orthogonal decompositions is produced in the row of the Grama-Sharle type A, the analysis of the graphs of which showed the good coincidence of closenesses with decomposition.
Keywords: mixed laws of distributing, rationed closenesses, orthogonal decomposition of closeness, row of the Grama-Sharle type A, the Ermyt’s polynomials.
I. I. Vorokhobin, I. Y. Fusar, B. M. Alekseychuk Analysis of possibility of application of orthogonal decomposition of closeness of the mixed laws of distributing of errors by the Ermyt’s polynomials
