Issues related to the features of multi-channel signal processing based on superresolution methods using a system with a quasi-ring arrangement of receivers are considered. The output characteristic is compared using the classical processing method (radiation pattern is formed) and the superresolution method (direction-finding relief is formed). As a basis of the signal processing algorithm, the property of 2π-periodicity of the angular dependence of the directivity characteristics of the receivers and the signal power is used. The issues of increasing the resolution in the angular direction of the received signals were studied during multichannel processing in a receiver system with a ring arrangement. The possibility of a significant improvement in resolution during the transition from the classical method to the method of superresolution is shown.

Keywords: multichannel processing, radiation patterns, Hamiltonian cycle, angular distribution, annular and quasi-ring antenna array, directivity characteristics, synthesis of amplitude-phase distribution

The article deals with the issue of modeling by the finite element method of the penetration of the communication tunnel under the operating multi-lane highway demand microtonneling, horizontal directed drilling and construction under the protection of the screen from pipes

Keywords: Tunnel, collector, finite element method, microtonneling, horizontal directional drilling, motorway, case, reinforced concrete, metal pipes, settling mule

The article discusses the results of the calculation of reinforcement in monolithic reinforced concrete floors. The subject of the study is the reinforcement of the slab section located next to the column. The study was carried out by setting up a computational experiment. Modeling was performed in software systems: Revit, Sapphire and Lira-CAD. Finite element models were calculated in Lira-CAD software. A total of 7 series of samples were calculated. The samples are a fragment of a monolithic reinforced concrete floor of a civil building. Investigated factors: triangulation parameters; the presence or absence of absolutely rigid bodies in the node. The authors performed a comparative analysis of the results of a computational experiment. It was found that for the most correct and economical selection of reinforcement in models without the use of AFL, it is desirable to take the triangulation step in the slab equal to the side of the column section or more than this value by no more than 15%, since an increase in the size of the finite elements leads to an underestimation of the reference moment and the resulting area calculation longitudinal working reinforcement. With this approach, the value of the maximum moment, and, therefore, the area obtained by the calculation of the reinforcement will be 6% higher, which makes it more preferable, although it increases the complexity of creating a finite element circuit.

Keywords: BIM technology, reinforced concrete, girder-free overlap, reinforcement, triangulation, finite element, reinforcement selection, computational experiment, Rewit, Sapphire, Lira-CAD

The question of the possibility of using the well-known semi-empirical method for predicting settlements for underground transport tunnels of small diameter, taking into account correction factors developed for communication tunnels, is being investigated. The relationship between the ratio of the relative depth of laying and settlement of the surface and the selected ground loss volumes is considered.

Keywords: tunnel, volume loss factor, empirical method, finite element model, ground settlement, shielded tunneling, TBM, Tupikov’s correction factor, numerical method

Known mechanisms of relaxation of tension in the film at small misfit deformation: the formation of waviness on the initially flat free surface of the film (the instability of the Asaro-tiller-Grinfeld); nucleation of misfit dislocations at the interface film-substrate; a redistribution of atoms near the wavy surface of the film due to the reduction of elastic energy in napylenie on a substrate a semiconductor film; reducing surface energy of the film by increasing its thickness; formation of nanoscale isolated Islands on the surface of the film (Stransky-Krastanov growth); due to the formation of misfit twinning. This paper presents the results of calculations taking into account these factors for different values of the parameters of the film and Islands.The equilibrium conditions of a two-component elastic layer containing mismatch dislocations are investigated. A nanometer-thick SiGe film on a Si substrate and nanometer-sized SiGe Islands on a wetting layer are considered. The uneven distribution of Ge in the sample volume is taken into account. Three-dimensional models of a flat film with dislocation and Islands are constructed. The calculation of elastic deformations is performed using the finite element method. Approximating formulas and iterative algorithm are used to calculate the Ge distribution in the film. According to the results obtained, the uneven distribution of Ge provides relaxation of elastic energy in the alloy, and Ge atoms are concentrated on the protrusions of the disturbed surface of the film and in the vertices of the Islands. Taking into account the heterogeneity of the Ge distribution in the samples has a significant impact on the growth of islets (stable growth occurs with smaller islets) and undulation on the free surface.

Keywords: thin film, heteroepitaxy, Ge, SiGe, misfit dislocations, elastic energy density, finite element method

A hydroacoustic waveguide is considered as a linear system with parameters distributed over dis-tance. A method is proposed for modeling the impulse response of a waveguide. The fields of indi-vidual normal modes at fixed frequencies are calculated so that discretization theorems are satisfied. By performing the inverse Fourier transform of the fields of all modes separately, the time realiza-tions are restored. Then, summing the mode fields, the impulse response of the waveguide is calcu-lated. This approach allows you to "turn off" the fields of individual modes, add, if necessary, the fields of higher modes, or to study all fields separately, simulating the operation of mode selection. The impulse response is considered as a tool for solving the problems of inverting the acoustic characteristics of the seabed and modeling the propagation of signals in waveguides. The impulse response of the first mode of the Pekeris waveguide with the bottom in the form of an intermediate layer and half-space is restored, its wave attributes are revealed: ground wave, water wave, Airy wave. The frequency dependences of the group velocity of normal modes and the multimode im-pulse response are restored. Low-pass filtering of the impulse response makes it possible to reveal the Airy phase of the first mode.

Keywords: normal modes, seabed, attenuation coefficient, group velocity, impulse response, intramode dispersion, intermode dispersion

This article is devoted to an of solving vector optimization problems using modern technologies, namely, the possibilities of parallel programming. The most problems of economic activity are solved by methods of mathematical programming in this modern world. And most of them have a large dimension. The solution of this problems takes a lot of time even when using the powerful computing systems. The purpose of the article is to use all available logical cores of PC processor to solve problems, which will allow access to all the computing power of PC. Much attention is given to a more optimal algoritm for load disribution across thread, which allow to perform several independent actions. The method of solving vector optimization problems is reworked with the use of the algorithm. Thanks to this, it was possible to reduce the time of solving problems by 0.6n times, where n is the number of logical cores.

Keywords: vector optimization, economic activity, parallel programming, .NET, TPL library, main criterion method, sequential assignment method, target programming methods, multithreading

The granulation process of ammophos in a drum granulator-dryer (DGD) is considered. The main factors affecting the granulation process are considered. The inputs and outputs of the mathematical model of the granulation process are determined. A dynamic mathematical model has been developed for the formation of the equivalent diameter of ammophos granules depending on the flow rate and particle size distribution of the external recycle. Graphs of comparison of simulation results with actual data of normal operation are presented. A graph of the dependence of the equivalent diameter of the granules on the flow rate of external recycling is presented. The model is intended to create a system for stabilizing the granulation mode.

Keywords: ammophos, recycle, granulation, particle size distribution, drum granulator-dryer, modelling, mathematical model

This article explores the use of machine learning methods in vibrodiagnostics. To assess the effectiveness of the use of a neural network, a hypothesis was put forward on the possibility of revealing hidden patterns indicating a defect for structures of the same type with different parameters. The selection of these features by visual analysis of the graphs is difficult due to the large amount of data, which indicates the relevance of solving the classification problem using a neural network. As a result of the study, a fully-connected two-layer neural network was obtained, showing sufficient accuracy of predictions, which confirms the fundamental possibility of using machine learning methods to monitor the state of standard structures.

Keywords: vibration diagnostics, building construction, building, structure, defect, damage, machine learning, neural network

The article presents theoretical calculations and studies of the possibility of parametric oscillations and parametric resonance arising in a polymer self-supporting thermoplastic pipe "Furanflex". Тheoretical calculations of the possibility of asymmetric parametric oscillations and parametric resonance are considered.The Furanflex thermoplastic, polymer liner is offered as a variant of a separate gas exhaust trunk during the reconstruction of boiler rooms and thermal power plants by heat generating companies.The description and calculation of resonant phenomena for asymmetric parametric oscillations are described in detail.Detailed mathematical transformations of differential equations of parametric oscillations are given.The article provides a detailed description and analysis of the occurrence of parametric oscillations. Examples of symmetric and asymmetric parametric oscillations are considered.Information and conclusions of the presented work are intended for a different range of readers, teachers, designers, students of construction specialties.This article should be of interest to utility managers and heat generating companies .

Keywords: chimney, ventilation duct, repair, restoration of the chimney,protection of the chimney, lining, furanflex, thermoplastic liner,perimetric oscillation

The current problems of calculating the distribution of water flow along the branches, in multi-arm river sections are considered, the problems of current calculation methods are identified, a new calculation method is proposed, the proposed method is analyzed for efficiency, a calculation optimization method is proposed, a regularization parameter is proposed, an analysis of the changed formulas is carried out, analysis of the changed formulas is carried out, analysis is carried out calculation errors.

Keywords: waterways, water expenditures, modeling

The article is devoted to the mathematical modeling of a multifunctional air pressure probe for avionics systems. The stages of the preparation of mathematical models and their application for the study of the measuring device are considered, the error of the determining the altitude-velocity performance at various angles of attack of the airflow is calculated. Conclusions are drawn on the practical significance of the results obtained and the perspective for the development of mathematical models and their application for the development and study of aviation instruments. ANSYS CFX software was used for modeling and engineering calculations.

Keywords: air pressure probe, multifunctional air pressure probe, mathematical model of the air pressure probe, mathematical model of the multifunctional air pressure probe, air data system, altimetry, airspeed, angle of attack sensing, angle of sideslip sensing

the article describes a variant of setting sequential algorithms in the form of bipartite graphs by further defining them, which makes it possible to work with algorithms using graph theory methods in the future. Two forms of the task are considered: modular and functional-predicative. The possibility of setting the algorithm in table-predicate form is shown. It is concluded that in addition to the generally accepted methods of setting the algorithm, it can be set in matrix-predicate or table-predicate form, which allows using methods of matrix theory and methods of predicate theory when working with algorithms. setting the algorithm in matrix-predicate form avoids isomorphism when performing algebraic and set-theoretic operations on it.; setting algorithms in matrix-predicate form allows you to perform almost any operations on them

Keywords: graph-algorithm scheme, sequential algorithm, predicative block, functional block, pre-definition, bipartite graph, table-predicative form, graph theory, isomorphism

In many modern engineering designs are applied membranes of various shapes. This can be electroacoustic devices, medical equipment, and the skin of the aircraft body with triangular cells. Solutions for free vibrations of rectangular and circular membranes are known by the Fourier method. There are also quite a few solutions to the problems of vibrations of membranes of various shapes by the finite element method. Analytical solutions for membranes of more complex shapes are of great interest due to the complex geometry of the contour and the difficulty of obtaining the solution itself. In this paper, we obtained partial solutions for the problem of free vibrations of a regular triangular membrane with different initial surface bending and found eigenfrequencies of vibrations.

Keywords: Free vibrations of the membrane, the membrane of the correct triangular shape, natural frequencies of vibrations

This work is carried out as part of the study of the frame-rod structure with elements of thin-walled profiles. The results of a numerical study of a three-bolt connection of a thin-walled galvanized plate 1.5 mm thick with a plate of 3 mm thick on adjustable voltage bolts are presented. The calculation models are created by volume elements in Ansys software taking into account the strength properties of materials.

Keywords: galvanized thin-walled profiles, bolted joints, rod structures, thin-walled profiles, finite element method

The article is devoted to the study of the adequacy of the model of a waveguide with a bottom in the form of half-space in broadband calculations of sound fields. Two bottom models are considered: liquid and porous. Two depths of the water layer are considered - units of meters and tens of meters. In the case of a liquid bottom, the speed of sound and the loss tangent in the bottom are considered to be frequency independent (model with a bottom with constant quality factor). In the case of a porous bottom, the frequency dependence of the speed of sound and the loss tangent is extracted from experimental data published in open sourses. The frequency dependences of the group velocities of the modes and modal attenuation coefficients are calculated. The frequency dependences of the group velocity of the first mode for the two waveguide models coincide, and the critical frequency of the normal modes changes in proportion to the depth of the water layer. The frequency dependences of the attenuation coefficient of normal modes turn out to be significantly different. The impulse response of shallow and deep-water waveguides are simulated. It is shown that in the case of a waveguide with a water layer depth of a few meters, the temporal structure of the impulsive field is indistinguishable - the bottom model without dispersion is adequate. In the case of a water layer depth of tens of meters, the temporal structure of the pulsed field for two bottom models is different - the waveguide model with a bottom without dispersion is inadequate.

Keywords: liquid bottom, porous bottom, marine sediments, dispersion of phase velocity, group velocity, intramode dispersion, intermode dispersion

the article presents a comparison of methods for modeling the Foundation of the span structure of the technological transition on permafrost soils in the LIRA-CAD 2015 software package.Numerical simulations using methods such as pinching (linking) and modeling of pile Foundation and soil Foundation showed a significant difference in the calculated values. The conducted research confirms the need to calculate this type of building structures taking into account the influence of the soil base.

Keywords: span structure, technological transition, pile, base, foundation, frozen ground, LIRA-CAD 2015, strength, stiffness, stability, soil model

This article describes the stages of modeling the state control algorithm for a synchronous motor with permanent magnets using the model-based design method. The algorithm is based on the principle of field oriented I-Hz control, the constructions of which is formed as a state machine for the correct planning of tasks. The model input and output signals for the STM32 microcontroller are further classified. The control model itself is created in the Matlab/Simulink package, the subsystems of which are also described. The last step is to model and visualize the input/output signals of the system at different initial values of the inverter speed and current. By observing acceptable values of the inverter speed and current in the steady state mode, the correct operation of the control logic is ensured, which can be generated as a C code and integrated into the microcontroller.

Keywords: Model-based design, Matlab/Simulink, STM32, synchronous motor with permanent magnets, field-oriented control

The calculation algorithm is given and various options for solving the problem are considered when changing the parameters of the design scheme of the rod system on the example of a beam in the MS Excel software environment together with the MathCAD package. The proposed approach allows you to combine formulas, graphics, and calculation results on a single sheet, which is especially useful in the educational process. It contributes to a more conscious perception of the calculation process by students, allows them to implement various forms of distance learning in information technologies.

Keywords: the core of the system, algorithm, modelling, integration, information technology

The configuration of the transport network is important for the efficient operation of the transport system. It significantly affects the cost of transportation and their reliability. The construction of each individual element of the network is the implementation of a very specific solution, but the overall development of the network largely manifests internal patterns. One approach to studying such patterns is to model the natural development of the transport network. This paper proposes a formalization of various approaches to modeling the natural development of networks and identifies strict relationships between the approaches under consideration.

Keywords: transport network modeling, dynamical model, stationary model, the configuration of the transport network, transport network topology

The authors of the article consider external socio-economic and internal motivational factors in the formation of reproductive behavior of young families living in the Rostov region. Based on empirical data, the authors of the work conclude that young spouses occupy quite active economic positions in the region we are studying. These professional strategies have a dual effect on reproductive behavior, determining the choice of one-child family model in the region

Keywords: model, cognitive analysis, family, young family, life strategies, value orientations reproductive behavior

Aerodynamic and hydraulic calculations – time-consuming and important steps in the design of engineering systems. There are many different programs for the calculations of heating and ventilation systems. Such as Autodesk REVIT, software, dramatically gaining popularity in the field of BIM-modeling. Design engineers using this software package for the calculations, are faced with the problem of mismatch of diameters, pressure loss between the program and manual calculation. In this regard, it was necessary to understand this problem: compare the calculation results of velocity and pressure losses in the air ducts and pipings in the program REVIT with traditional methods of calculation, find out what formulas calculates this program . The calculations in software Autodesk REVIT have an errors and inaccuracy. Backed by Russian standards, it is necessary will understand how accurate and correct calculations produces software package. The work examines the results hydraulic and aerodynamic calculations, analysises this results with the results of calculations by traditional methods. Calculations in software Autodesk REVIT is applicable for calculating systems of ventilation, but for calculating systems of heating better not to use this program. For the bold use calculations of program is necessary improvement of the software.

Keywords: BIM-technologies, Building Information Model, Autodesk REVIT, software, BIM-modeling, aerodynamic calculation, hydraulic calculation, system of ventilation, system оf heating, comparative analysis

The article presents the usage of the semantic network for storing and retrieving information from unstructured sources. The authors describe the semantic network model based on labeled oriented graph, consider basic semantic network elements (concepts, relations and attributes) and basic relation types between elements (hyponymic and meronimic as well as class-instance relations), and define main single and group operations on the network. Besides the method of storing the concept instances and related wordforms and glosses for automated information retrieval from semi-structured sources is provided. The designed semantic network is decomposed into atomic concepts providing absence of stored information redundancy without necessity to apply the normalization procedure. The developed model was applied in several practical tasks, for example in real estate information parsing, the address information system input validation, and information extraction from spreadsheet data. The model was improved and extended based on experimental results.

Keywords: semantic network, graph model, concept, relation, attribute, instance, semi-structured data

The article considers the limitations that currently exist in the supply of military Universities with applied proprietary software products necessary for the implementation of relevant educational programs and the organization of scientific work, identifies the most popular software solutions for this category, proposes the closest analogues among free software and criteria for their selection.

Keywords: mathematical systems, proprietary software, free software, information and educational environment, program selection criteria

The work is devoted to the development of experimental research technology for the emotional component of students ' attitudes towards friendship. Using a concrete example, it is shown that the previously developed method of measuring the affective component of various social attitudes makes it possible to identify the levels of emotional perception of both real and virtual friendship. It was found that just over half of the studied audience (57-59%) showed an almost neutral emotional attitude to both real and virtual friendships. Only about 29% perceive real friendship positively, and even less – 19% - virtual friendship. On the contrary, virtual friendship is negatively evaluated by 22% , while real friendship is only 14%. Thus, in the group as a whole, the attitude to real friendship is more positive than to virtual one. It is shown that this pattern is observed not only at the group level, but also at the individual level. But in the form of a trend. The results confirm the decrease in the importance of friendship noted in the literature (compared to the last century), and the emerging increase in the role of virtual interpersonal relationships.

Keywords: interpersonal relationships, friendship, virtual friendship, affective component of attitudes, semantic differential technology, nonlinear phenomenological model