In the article the model of ultrasonic information communication channel realized on the basis of piezoelectric transceivers is considered. The model is based on the known model of a single transceiver in the form of an equivalent RLC circuit by introducing a resistive coupling between the electrical circuits of two transceivers. Piezoelectric elements are used in the field of their own resonant frequencies, which allows them to match the oscillatory circuits with reactive and resistive elements. The choice of resistive coupling is due to the fact that the energy of the emitted ultrasonic waves can be represented as the energy that is scattered on the resistive element of the oscillatory circuit. On the part of the receiver of ultrasonic waves, it is natural to believe that the received energy also enters the resistive element of its oscillatory circuit. It is possible in principle to introduce a functional dependence of the depth of the resistive coupling on the spatial length of the information channel and the radiation pattern of the piezoelectric transceiver. Simulation modeling was carried out to assess the functionality of the obtained relations. The constructed graphical dependencies allow to illustrate the properties of the proposed model.

Keywords: piezoelectric transceiver, electrical model of piezoelectric transceiver, circuit, resonant frequency of the transceiver, radiation resistance

The relevance of this study is associated with the fact that issues of effective language policy and language planning are an integral part of national policy for any multicultural community. In the framework of this work, the authors attempted to present a multidimensional model of the typology of language policy, with the emphasis on political foundations that determine the goals of language policy and planning. The idea of ​​maintaining the official status of the language and its optional coincidence with the real status seems to us relevant for understanding the essence of language policy. The authors believe that the main object of language policy, regardless of how ideological slogans sound, is not so much the language itself as the groups of its actual and potential speakers. Language planning decisions determine the nature of power relations between different ethnic groups within the same multicultural community. Although today there is no universal ideally structured model of language policy, the practical value of the multidimensional model of language policy proposed by the authors is that it allows you to take into account which political goals, whose interests and values ​​underlie the planning and implementation of the principles of language planning.

Keywords: language policy, language planning, typological features, language corpus, language status, normalization, codification, nationalization, language policy guides, modernization, purification

This article is devoted to the study of the problem of power supply of low-power consumers distributed along the path of electric Railways AC, which can act as a system of sensors diagnostics of automated control systems of various objects located along the contact network. The main part of the article is devoted to the description of the primary model necessary for further consideration of such a method of electric power supply and experimental modeling.

Keywords: contactless power transmission, capacitive communication, power supply, contact network, electric Railways

In this article, in terms the language of queuing networks, the problem is formulated finding the optimal value the average response time of the system to the requests all users for distributed information processing systems implemented on the basis of the file-server architecture, two-level and three-level client-server architecture with a fixed cost of downtime, including the cost downtime for users, the cost of downtime for a data transmission channel and the cost downtime for service nodes. An algorithm for solving this optimization problem is presented.

Keywords: distributed information processing system, file-server architecture, two-level client-server architecture, three-level client-server architecture state space, average system response time, loss cost, stationary probabilities

The problem of increasing the efficiency of compiling test plans when testing complex software systems is considered. Automation tools for the development of test plans allow us to describe this document in a rather generalized way, without taking into account many of the attributes required for the success of the further stages of testing the software systems. The use of the developed automated system (AS), described in the article, allows to reduce the complexity of creating test plans due to the presence of a clear sequence of steps in the preparation of the document, providing the specialist with background information and advising effects. In the future, this AS can be used both directly in the development of test plans in the course of real software projects, and in training novice specialists in the skills of filling out these documents.

Keywords: software testing, test plan, automated system

An idea is introduced of the directing structures of the director and reflex types that contribute to the formation of air flows, which in a given way contribute to an increase in mechanical power on the shaft of its rotor. These structures can be used to amplify the moment on the rotor shaft by increasing its useful interference with the stator. Qualitative considerations about the influence of the introduced guide structures are confirmed by the introduction and numerical aerodynamic calculations of two modernized designs of a promising vortex wind power installation, considered in the previous works of the authors. The most optimal variant of rotor modernization was selected, which made it possible to increase the power on its shaft by an average of 45% relative to the corresponding power for the design of a wind turbine with an initial rotor shape in the operating range of wind speeds from 1 to 12 m / s. The materials of this article can be used to design the optimum aerodynamic power criterion for the rotor of wind power plants, their stations, as well as integrated power power plants, including a wind power plant as one of the renewable sources of energy.

Keywords: wind power installation, airflow structuring, director-type guide structure, reflex-type guide structure, vortex structure, rotor aerodynamic torque, aerodynamic optimization by the criterion of maximum power, numerical aerodynamic calculation, sliding gr

The search for a global extremum by the invasive weed method is considered. It is proposed to create a software tool that implements a bio-inspired global optimization method that belongs to the group of metaheuristic methods - the invasive weed method, which searches for a global extremum

Keywords: global extremum, bio-inspired method, metaheuristic method, invasive weed method, evolutionary method, software

Mathematical models with analytical properties are needed to create modern stabilization systems for various objects and technical systems. This is due to the fact that most of the existing methods for the synthesis of automatic systems are based on mathematical transformations of models of control objects. However, for complex objects and systems, these models are obtained experimentally. Moreover, the experimental data are approximated by various well-known methods. If the dependences are essentially nonlinear in nature, they are approximated by sections. Such a fragmented model as a whole is not analytical, which excludes the use of many well-known methods for the synthesis of nonlinear stabilization systems. In these cases, it is advisable to use the new Cut-Glue approximation method developed at DSTU, which allows one to obtain an analytical model of an object from piecewise approximations. This analytical model allows you to apply the analytical method for the design of quasilinear control systems for nonlinear objects. In this paper the propoused approach is illustrated by example of the design of a nonlinear system for stabilizing the flight altitude of an airship.

Keywords: stabilization system, analytical synthesis, nonlinear control object, mathematical model, quasilinear form, experimental data, fragmentary model, multiplicatively additive approximation

The work describes the implementation of the cognitive set-theoretic approach proposed earlier for modeling complex systems. The article describes in detail the application of the analytic hierarchy process and the cluster approach to determining the cadastral cost of land and selecting the site according to predetermined criteria on the example of Taganrog. Calculations and visualization of results were carried out using the software products STATISTICA and QGIS

Keywords: cognitive theoretical-multiple approach, the analytic hierarchy process, cluster approach, cadastral cost

It is shown that in the analysis of self-determination it is expedient to use the tools of cognitive modeling. This allows us to identify all the cause-and-effect relationships that provide logical and semantic focus on the desired (target) result of a particular system. The problem of analysis is a special case of the study of the fundamental philosophical category of development, as the relationship and interaction of "things, properties and relations". Formally, the analysis can be reduced to the procedure of semantic and causal interpretation of the original cognitive model. The model allows to study the internal structural organizations that affect the implementation of self-determination of the system. Analysis of self-determination in turn opens the way to effective cognitive modeling, construction of dynamic models, application of game and scenario analysis methods.

Keywords: cognitive analysis, cognitive model, structure, system, self-determination, management, interpretation

Justification of the parameters and compiling of the forest machine chassis can not be performed without determining the weight of the load. The weight of the load depends on the wood density. The wood density within the growing tree is heterogeneous. The aim of this study is to develop mathematical models to calculate the average density of the tree trunk area depending on its location in the trunk. The research is based on the construction of approximating dependences of changes in the average wood density in the longitudinal direction of the trunk by minimum deviation method. The obtained mathematical models establish the relationship of density changes in the longitudinal direction of the trunk for four forest-forming species of the Republic of Karelia: pine, spruce, birch and aspen.

Keywords: modeling, wood density, logging, skidding, forwarder, skidder

The work is devoted to the development of an adequate model of a steam drum unit that will allow the development of an optimal control algorithm. The causal relationships of the boiler unit were considered and their transfer functions were given. Mathematical models of the steam drum boiler experimental, based on the removal of the acceleration curves, and the combined methods were also obtained.

Keywords: analysis of control algorithms, adequate models, mathematical models

The article is devoted to the development of a complex of mathematical models describing the functioning of a data storage system based on solid-state drives using deduplication technology. The mathematical model of the user application generates a load on the system as a stream of requests, randomly sized according to the Pareto law, and with random time interval between requests. Requests are received at the input of the storage system into the network service model, then to the VDO deduplication system model, then to the software RAID model and, finally, to the solid-state drive model for read/write operation. Due to the nature of SSDs, system performance in read and write modes is modeled separately, taking into account the different speed characteristics of RAID-5, RAID-6 and RAID-10 arrays. The mathematical model of the reliability of each RAID array is based on the Kolmogorov-Chapman system of equations for calculating stationary probabilities describing transitions between states in a discrete Markov chain. The durability of the system is determined through the model for assessing the exhaustion of the recording resource of solid-state drives. The mathematical model for estimating the storage cost includes the costs of equipment, resources and maintenance over the entire operation period of the system. The final result is a mathematical formulation of the problem of data storage system optimal design, which allows selecting the system architecture and parameters that are optimal in terms of a combination of factors – reliability, speed and cost of data storage.

Keywords: mathematical modeling, data storage system, performance, reliability, solid state drives, RAID array, optimization

The paper studies a mathematical model of a function that can be restored by integrals. In order to reduce image distortion during reconstruction, the representation of the desired function in the form of a sum of Gauss functions is proposed. A software package has been developed to study the model. The parameters and type of the grid giving the smallest error in this model are determined.

Keywords: mathematical modeling, inverse problem, Radon transform, image reconstruction, Gauss function, computed tomography

Results of modeling and a pilot study of a low-pass filter with a cut-off frequency of 4 GHz are given. Modeling of the filter was carried out in MicrowaveOffice application program package. The experiment was made on the vector analyzer of RXA chains. Results of modeling and an experiment conform to the imposed requirements, namely: - cut-off frequency is 4 GHz; - losses in bandwidth no more than 3 dB; - an obstacle on the second harmonic of cut-off frequency not less than 60 dB; - wave resistance of an input and exit of 50 Ohms.

Keywords: low-pass filter; cut-off frequency; losses in bandwidth; losses in an obstacle band; modeling; experiment

The article is devoted to the analysis of issues related to conflict interaction in the youth environment of Soviet and Russian society. The aim of the study is to build a cognitive map of the model of the system “Conflict control (youth of the USSR)  conflict control (youth of Russia)”. The authors note that at present there is an urgent need to identify existing conflict situations in the youth environment of Russian society and at the same time it is logical to conduct an analysis based on a study of past years and those problems that were the cause of conflict situations in the youth environment in Soviet times. It is also noted that in modern social practices it is necessary to create effective mechanisms for countering conflicts, aimed primarily at reducing the level of risk in the modern youth environment. The methodological basis of the study. The research methodology is based on the principles of scientific research, as the principle of holism and the principle of objectivism. The work used the methods of systematic and comparative scientific research. Conclusions: in spite of the fact that it is not feasible to fully show all the questions outlined in the framework of one study (a similar goal was not set), the analysis of the processes associated with the study of conflitogenicity in the modern youth environment and the constructed cognitive model are of certain theoretical interest and require further work in the framework of this issue.

Keywords: diversification of management, production diversification, financial and economic purposes of a diversification, technological purposes of ensuring flexibility of production

Cementation studies focus almost exclusively on the movement of carbon, described through the diffusion equations, often with constant coefficients and without regard to temperature. This approach does not allow, to take into account the further diffusion of carbon into the workpiece in a lower temperature range at the stage preceding quenching. The paper describes the modeling of the diffusion saturation of steel by carbon in the cementation process, taking into account the influence of temperature on the example of a numerical solution of the gear cementation problem using the COMSOL Multiphysics program. It was shown that the finite element mathematical calculation of the process of saturation of austenite with carbon during cementation gives good agreement with experimental data, and finite element analysis methods can be used for multivariate calculation of the carbon content in austenite after diffusion saturation

Keywords: carbon diffusion, carburization, COMSOL Multiphysics, numerical modeling, carbon distribution, carburization, Fick diffusion law, mass transfer, heat transfer, gear, finite element method

Geodesic domes are self-supporting spatial structures without additional supports. Geodesic lines are used when breakdown geodesic shells into elements. In this area, the development of geometric models of double-contour geodesic shells are performed. The features of these works are the use of trihedral and hexagonal pyramidal structures as the first contour. However, for the formation of such structures, pentahedral pyramids can also be used. The aim of the study is to develop a method, algorithm and software for a double-contour geodesic shell with pentahedral pyramids. To achieve this goal, the principle of duality, methods of analytical geometry in space and programming in the GDL language built into ArchiCAD were applied. As a result, a parametric ArchiCAD object of a two-contour geodesic shell with pentahedral pyramids was developed. It can be used in architectural and structural design of unique buildings.

Keywords: geodesic dome, double-contour geodesic shell, duality principle, parametric ArchiCAD object, the programming language of GDL

This article reviews the process of glider motion control system development based on position-trajectorial controller, developed by V.Pshikhopov. A mathematical model of an underwater glider is reviewed briefly, this model uses variable buoyancy for movement. Control system uses position-trajectorial controller which uses two controll variables for straight gliding and turning. The article contains results of modelling the motion control system in various modes such as straight gliding, gliding with turning and following a set of points. A brief description of practical usage of the control system is given.

Keywords: glider, control system, position-trajectorial controller, motion control, mathematical modelling

The article deals with the issues of plant protection by electroaerosols of chemicals. Revealed General regularities of penetration electroaerosols jet in the topsoil and deposition of drops of electroaerosol in vegetable elements. The estimation of the depth of penetration of the aerosol jet into the plant layer and the intensity of deposition of the aerosol on the protected plants is given. This article is of interest to a wide range of readers dealing with the issues of electrical aerosol treatments in agriculture.

Keywords: electroaerosol, the jet flow of the electrical aerosol, aerodynamics jet stream, plant protection, plant layer, the charge drops electroaerosol, gravitational and electrostatic precipitation

This study investigates possibilities for identifying additional deposits of polymetallic ores based on geophysical studies that use ground-penetrating radar (georadar). Such studies can render a deposit significantly more attractive from an economic standpoint. Experimental methodological work was carried out to compare the geological data of preliminary exploration and georadar exploration with GROT 12 georadars.

Keywords: ground-penetrating radar, radargram, geological section, profile, anomaly, ore body, exploration, video pulses

The article presents the approbation of the previously proposed algorithm for calculating flat rod systems whose cross sections have one axis of symmetry and the material is physically nonlinear. The diagram of the relationship between stresses and strains corresponds to an ideal elastoplastic material or an elastoplastic material with hardening. The calculation algorithm is based on the developed finite element of the mixed method. Examples of calculating statically determinable rod systems are given.

Keywords: finite element of the mixed method, elastoplastic material, physical nonlinearity

The article provides an analysis of the proposed system for protecting confidential information of the organization. The rationale for the need for comprehensive protection is given, since the unidirectional system is not effective enough, leads to early failures and the loss of important confidential information, as well as an adaptive monitoring unit

Keywords: confidential information protection system, protection subsystems, integrated confidential information protection system, probabilistic assessment, adaptive monitoring

Within the framework of the kinematic model, calculation formulas are obtained for determining the deformation of a water-saturated base from weak soils, taking into account vertical reinforcement and the bearing capacity of pore water. Theoretically justified the use of vertical reinforcement, aimed at strengthening the bearing capacity of the soil base.

Keywords: weak soil, water-saturated base of the road, deformation, vertical reinforcement

Models of monitoring program generation systems are proposed that can significantly reduce the cost of time and other resources for monitoring complex technical objects. Systems are considered at several levels: subsystems and modules, communication links, usage scenarios, physical representations. A technique for adapting system models to subject areas is proposed.

Keywords: complex technical object, monitoring, models of software systems, program generation