Informatics, computer technology and management. Рубрика в журнале - Siberian Aerospace Journal
Статья научная
Modern and promising dynamic systems of aviation weapon systems of the Aerospace Forces (hereinaf-ter for brevity in the text – the system) are characterized by a more complex structure and increased re-quirements for reliability and efficiency of functioning. Moreover, systems of generation 4 ++ and 5 are quite unique and (or) small-scale, and their constituent elements are basically miniature and expensive, therefore, a prerequisite for fulfilling the requirements for traceability to systems and constituent elements is the maximum possible preservation of the quality of the initial basis with the inevitable new interpreta-tion of additional information. Further introduction of artificial intelligence technologies into the practice of solving problems of technical diagnostics makes it possible to obtain adequate results with almost any accuracy. The reliability of the results will be determined solely by the punctuality of the data assignment and the completeness of the mathematical description of systems, processes and events in the subject area under consideration. Therefore, it should be expected that the further development of the theory and prac-tice of technical diagnostics will follow the path of a deeper study of the physical processes occurring in systems, and a more accurate mathematical specification of procedures for finding the place of failure of systems. The aim of the work is to establish the development of an interconnected set of mathematical and logical block diagrams for obtaining and applying diagnostic knowledge in the software and mathematical support of modern and advanced onboard means of monitoring the technical state of systems. The priority direction in such studies is the differentiated selection of approved methods of technical diagnostics with the choice of the appropriate mathematical and algorithmic apparatus for direct probabilistic modeling of systems. A block diagram is presented and a variant of the practical application of the developed algorithm for sequential recognition of system failures (hereinafter referred to as an algorithm, if it is clear from the context of the presentation of the material that it is the developed algorithm) is considered. By using the algorithm, there is no need for decomposition of systems, and the potential for multiple repetitions of the results of a random process of changing the technical states of systems predetermines the possibility of ob-taining large samples with high accuracy of software compilation.
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The paper proposes the use of clustering methods to determine the most appropriate number of fuzzy terms when building a genetic fuzzy system. At the same time, a fuzzy logic system is used to solve data classification problems and is automatically generated by a genetic algorithm. We used a genetic algorithm with the encoding of terms and classes in a binary string, while each individual encoded a rule base. To build a rule base, it is necessary to set such a parameter as the number of fuzzy terms, since it significantly affects the quality of the generated classifiers. A comparison of the most well-known algorithms such as DBSCAN, k-means and the mean shift algorithm was carried out to identify the best data clustering meth-od. Computational experiments were carried out on several data sets to evaluate the effectiveness of the selected number of fuzzy terms. According to the results, it was determined that the mean shift algorithm selects such a number of terms that allows building more accurate classifiers in comparison with two other methods involved in testing. A comparison was also made with alternative classification methods such as k nearest neighbors, support vector machines and neural networks, as a result of which the proposed method showed comparable classification quality. The developed approach to automating the determination of the number of terms makes it possible to exclude manual selection of granulation for various data, reducing the cost of creating an effective fuzzy system for the classification problem.
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Comparison of methods for initializing starting points on the optimization genetic algorithm
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The way to initialize the starting points for optimization algorithms is one of the main parameters. Currently used methods of initializing starting points are based on stochastic algorithms of spreading points. In a genetic algorithm, points are Boolean sets. These lines are formed in different ways. They are formed directly, using random sequences (with uniform distribution law) or formed using random sequences (with uniform distribution law) in the space of real numbers, and then converted to boolean numbers. Six algorithms for constructing multidimensional points for global optimization algorithms of boolean sets based on both stochastic and non-random point spreading algorithms are designed. The first four methods of initialization of Boolean lines used a random distribution law, and the fifth and sixth methods of initialization used a non-random method of forming starting points-LP sequence. A large number of optimization algorithms were restarted. Calculations of high accuracy were used. The research was carried out on the genetic algorithm of global optimization. The work is based on Acly function, Rastrigin function, Shekel function, Griewank function and Rosenbrock function. The research was based on three algorithms of srarting points spreading: LP sequence, UDC sequence, regular random spreading. The best parameters of the genetic algorithm of global optimization were used in the work. As a result, we obtained arrays of mathematical expectations and standard deviations of the solution quality for different functions and optimization algorithms. The purpose of the analysis of ways to initialize the starting points for the genetic optimization algorithm was to find the extremum quickly, accurately, cheaply and reliably simultaneously. Methods of initialization were compared with each other by expectation and standard deviation. The quality of the solution is understood as the average error of finding the extremum. The best way of initialization of starting points for genetic optimization algorithm on these test functions is revealed.
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Compound bending of an orthotropic plate
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The problem of longitudinal-transverse deformation and strength of an orthotropic plate on the action of a local transverse force and stretching along the contour of the membrane forces is studied. The direction of laying the fiber of a unidirectional composite that provides the lowest level of stress and deflection is determined. In the zone of application of concentrated force in thin-walled structures, significant bending moments and shear forces occur, which are a source of stress concentration. To reduce stresses, the method of plate tension by membrane forces applied along the contour is chosen. The maximum possible order of membrane tension forces is selected, which provides conditions for the strength and rigidity of the solar panel plate structure, which has a hinge-fixed support along the contour. Pre-tensioning the plate web allows to reduce the stress by 50 times. The problem of compound bending of isotropic and anisotropic plates when applying transverse and selection of longitudinal loads, with restrictions on strength and stiffness, can be called a problem of rational design of the structure. The resulting equations and calculation program can be used in the design of plate structures, as well as in the educational process.
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If a system of differential equations admits a group of continuous transformations, then the system can be represented as a set of two systems of differential equations. As a rule, these systems have a smaller or-der than the original system. The first system is automorphic, characterized by the fact that all its solutions are obtained from a single solution using transformations of this group. The second system is permissive, its solutions, under the action of the group, pass into themselves. The resolving system carries basic infor-mation about the source system. Automorphic and resolving systems, two-dimensional stationary elasticity equations are studied in this work. They are systems of the first-order differential equations. Infinite series of conservation laws for a resolving system of equations and an automorphic system are constructed for the first time in this work. Since the two-dimensional system of elasticity equations is linear, there are infinitely many such laws. In this paper, an infinite series of linear conservation laws with respect to the first derivatives is constructed. It is these laws that made it possible to solve the first boundary value problem for the equations of elasticity theory in the two-dimensional case. These solutions are constructed in the form of quadratures, these quadratures are calculated along the contour of the studied area.
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Constraint handling genetic algorithm for feature engineering in solving classification problems
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Feature engineering in machine learning is a promising but still insufficiently studied direction. Creating new feature space from an original set allows to increase accuracy of the machine learning algorithm chosen to solve complex data mining problems. Some existing selection methods are capable of simultaneously increasing accuracy and reducing feature space. The reduction is an urgent task for big data problems. The paper considers a new machine learning approach for solving classification problems based on feature engineering methods. The design of informative features is carried out using extraction and selection methods. Based on the initial data, new sets of characteristics have been created, which include the original characteristics and characteristics obtained by the method of principal components. The choice of an effective subset of informative features is implemented using a genetic algorithm. In order to avoid overfitting and the creation of trivial classifiers, restrictions are imposed on the fitness function of the genetic algorithm, requiring a certain number of features of the original sample, as well as a certain number of features obtained by the principal component method. A comparative analysis of efficiency of the following classification algorithms is carried out: k-nearest neighbors, support vector machine, and a random forest. Efficiency research experiments are carried out by solving applied binary classification problems from the UCI Machine Learning repository of machine learning problems. The macro F1-score was chosen as an efficiency criterion. The results of numerical experiments show that the proposed approach outperforms the solutions obtained using the original data set and the performance of random feature selection (the low bound for the results). Moreover, the accuracy enhancement is obtained for all types of problems (data sets that have more features than values). All results are proved to be statistically significant.
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Construction of high-precision low-dimensional MgFE using local approximations and generating FE
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Composite structures (bodies), in particular, plates, beams, shells, are widely used in aviation and rocket and space technology. To analyze the stress state of elastic composite bodies (CB), the method of multigrid finite elements (MMFE) is effectively used, which is implemented on the basis of the Lagrange functional (in displacements). When constructing a multigrid finite element (MgFE), briefly a standard MgFE, using known procedures, a small base grid is used, which can be arbitrarily small, and large ones nested in a small one. The fine grid is generated by the partition of the MgFE, which takes into account its inhomogeneous, micro-inhomogeneous structure within the framework of the micro-passage. Large grids are used to reduce the dimension of the MgFE. The following is typical for a standard MgFE. Any large grid of a standard MgFE and corresponding approximations of displacements are determined on its entire region. This leads to an increase in the dimension of the standard MgFE with an increase in its order of accuracy, since in this case approximations of high-order displacements are determined on large grids. To reduce the error of solutions, high-precision MgFE are used, i. e., of a high order of accuracy, which have a large dimension. However, the use of high-precision MgFE is difficult, since they form discrete models of high-dimensional bodies. In this paper, we propose a method of local approximations (MLA) for constructing high-current MgFE of small dimension (short - small-sized MgFE), which are used to calculate elastic homogeneous and CB by MgFE. Two types of small-sized MgFE are considered. Small-sized MgFE of the 1st type are designed on the basis of standard ones with the use of local approximations of displacements, which are determined on the subdomains of standard MgFE, of the 2nd type - with the use of finite element generators (FE). The brief essence of the construction of small-sized MgFE of the 1st type is as follows. According to the MLA, we define a smaller Н grid on the V0 region of the standard MgFE than its base one. The V0 region is represented by the boundary and inner regions. The boundary (inner) regions have a common boundary, which does not degenerate into a point (do not have a common boundary), with the V0 region. On the boundary (inner) regions, we define large grids that are embedded in a small Н grid and generate local approximations of small (high) order displacements. On the V0 region, using local approximations of the displacements of the boundary and inner regions, we construct the MgFE. Then, using the condensation method, we express the movements of the internal nodes of the MgFE through the movements of the nodes lying on its boundary, i.e. on the boundary of the V0 region. As a result, we obtain a high-precision Vp MgFE of small dimension, i.e. a small-sized MgFE of the 1st type, the dimension of which is equal to the dimension of the standard one. It is important to note that with an increase in the order of accuracy of the Vp MgFE, its dimension does not change, i.e. it does not increase, and therefore it is called a highprecision MgFE of small dimension, i.e. small-sized. The procedure for constructing small-sized MgFE of the 1st type is described in detail. As is known, the calculation of the static strength of structures is reduced to determining the maximum equivalent stresses for them, the determination of which with a small error for CB is an urgent problem. Calculations show that small-sized MgFE of the 1st type generate maximum equivalent stresses in CB, the errors of which are 25 50 smaller than the errors of analogous stresses obtained using standard ones, on the basis of which small-sized, i.e. small-sized MgFE of the 1st type are more effective than standard ones. The use of small-sized MgFE of the 1st type in MMFE calculations makes it possible to determine the maximum equivalent stresses with a small error for large CB partitions. The construction of small-sized MgFE of the 2nd type is shown, which are designed on the basis of standard high-precision MgFE with the use of generating FE. A small-sized MgFE of the 2nd type has the same order of accuracy as the standard one, but its dimension is smaller than the dimension of the standard one. The advantage of small-sized MgFE of the 2nd type is that they give rise to discrete CB models of smaller dimension than standard ones.
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Detection of information system objects interaction with DGA domains
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Currently, malware developers are actively using domain name generation technique called DGA to es-tablish communication between malware and its command centers. Domain name generation in accord-ance with the given algorithm allows malicious software to bypass information protection tools blacklists, thus making blacklists ineffective, and establish a communication channel to receive control commands and parameters, as well as to transfer information from the information system to external resources con-trolled by attackers. Thus, it is necessary to develop new approaches to DGA generated domain names de-tection using DNS traffic of an information system. During the research, the authors have developed a solution for detecting information objects interaction with DGA domains based on the use of machine learning. The detection of this interaction occurs in two stages. On the first stage the classification task is being solved for each DNS name from overall infor-mation system DNS stream. On the second stage, for each DNS name classified as DGA, corresponding DNS query is being enriched using data from external sources and a final decision about the malicious nature of the query to resolve this DNS name is being made, followed by a notification of a security admin-istrator via e-mail channels. The paper describes the process of developing a classifier based on machine learning, defines the input data of the DNS name necessary for classification, presents the results of classifier training on a repre-sentative set of test data. The logic of making a decision about the malicious nature of DNS queries has been substantiated. The developed solution was tested using an experimental stand. Some recommenda-tions for correct classifier operation support are proposed. The application of the developed solution will make possible posteriori detection of information interac-tion of malicious software working on compromised information objects with the servers of attackers com-mand and control centers.
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Determination of coupling loss factors for beams connected at an angle
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The use of a statistical energy method for the analysis of dynamic systems assumes that coupling loss factors of subsystems must be known. Coupling loss factors show what part of energy moves from one subsystem to another. They are included in the system of energy balance equations and must first be determined analytically, experimentally or numerically. The most promising of the listed methods is a numerical one. In particular, this paper uses a finite element method. The purpose of this study is to determine the coupling loss factors of two subsystems in two versions of their relative positions. The basis is the model of an L-shaped connection of two beams, which is quite common in such studies. L-shaped connections of structural parts are often found in building structures, but in other industries, such as the development of space and aviation technology, structural elements are often connected at an angle other than 90°. Since energy methods (EMs) can also be applied to aerospace industry, when developing approaches to analyzing structures using such methods, it is useful to know how the energy parameters of a system, in particular coupling loss factors, change depending on the fact at what angle their components are connected. The paper considers two system configurations: in the first, the beams are connected at a right angle, in the second - at an angle of 45°. The coupling loss factors of the beams are calculated for both system configurations. Conclusions are drawn about the possibility of disseminating the results obtained to more complex structures, namely spacecraft structures.
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Статья научная
The article describes the results of tests that have been carried out at the manufacturing plant of refrig-eration devices. These results have made it possible to estimate the capability of using a new method of testing refrigeration devices for compliance with the standards established by GOST, which determine the specific heat and power properties of each refrigeration device, depending on its type (single-chamber or with two-chambers, with one compressor or with two, etc.), passing acceptance tests. The graphs of the active power of the device will be presented when it is connected to the power supply network and the de-pendence of the change in the power graph depending on time will be described, the signs of the graphs of faulty refrigeration devices will be described, indicating the cause of the malfunction. The authors indicate the parameters by which it is proposed to compare the obtained power graphs with the reference graphs obtained when testing reliably serviceable refrigeration devices. Based on the results of comparing certain values of the parameters characterizing the device it is proposed to judge the compliance of each individu-al refrigeration device with the standard. It also provides a description of the algorithm that will be used to determine the compliance of the refrigeration device with the established parameters of heat and power characteristics that determine its performance. The implementation of this algorithm will be carried out by writing an appropriate program for the programmable logic controller (PLC).
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Development of a methodology for testing SpaceWire network switches
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The paper presents the main points of the developed methodology for testing SpaceWire network switches. The main objectives of testing this equipment are outlined. A block diagram of the workplace is provided, as well as a list of equipment with its brief description for conducting tests. To conduct the tests, special software was developed, implemented in the form of a console user application. The methodology describes in detail each step of working with this application. This article describes the algorithms that are implemented when working with the application. These algorithms are presented in the form of flowcharts, as well as in the form of a text description. Two groups are distinguished among the algorithms: basic and advanced tests. For the first group, we can distinguish: a basic test - to check the principle of removing the header in accordance with the path addressing; a load test - to check the correct operation of the switch at high load of the switching matrix, as well as checking the deletion of incoming packets that do not contain addresses in their header to be sent to one of the switch ports; an exceptional situation test is used to check the correct operation of the switch when the receiving buffer is loaded with incoming data. For the second group, we can distinguish: the routing table test - to check the correctness of the processing by the switch of the rows recorded in the routing table; the broadcast test – to check the ability of the switch to send one data packet from several ports at the same time; the adaptive group routing test – to check the ability of the switch when selecting multiple ports for data transmission to send them from the port having the highest priority. All the indicated algorithms were tested on a radiation-resistant fault-tolerant ultra-large inte-grated circuit of a programmable master switch of the 3rd level. In conclusion, further plans for the devel-opment of the methodology are outlined.
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The article examines the role of information technology at industrial enterprises of the rocket and space industry, provides the results of the analysis of scientific sources to organize information support systems for making management decisions, an analysis of existing methods for constructing management account-ing at enterprises and methods of its automation. Conclusions are made about the insufficient elaboration of the studied solutions, both from the point of view of the logic of the organization of accounting, and from a technical point of view. The main tasks of the information support system, methods of forming effective management accounting and the goals of its implementation are determined. An approach to create an in-formation support system in the form of a built-in control database in the form of an OLAP solution is pro-posed, through which functional information systems are integrated, and detailed management accounting related to accounting and tax accounting is built into a single system in a single information space. The article describes the advantages of implementing the proposed system, which allows for a comprehensive retrospective and operational analysis of the current state of the processes oc-curring at the enterprise with a monetary value using SQL tools with a high degree of confidence in the data. The principles of creating elements of the information system for the subsequent effective plan-fact analysis and development of management decisions are discussed. A diagram of the organization of a sin-gle information space and a system that provides information support for enterprise management processes is given, the main information flows are considered. The logic of maintaining the process of forming a structured data warehouse is described, while automating the financial and economic part of the auto-mated control system based on the presented method of organizing data, which allows to link management, accounting and tax accounting with one source of relevant data, while creating an effective OLAP solution. An illustrative example of the organization of data in the form of linking the reflections of primary documents by means of a database using the proposed method, which provides the possibility of operational analysis of receivables and payables and the implementation of preliminary financial control-ling, is given. The research provides examples of user interfaces from the developed information support system based on the described methods of data organization. Conclusions are made about the effectiveness of the proposed solution.
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The original method for encoding binary data streams based on QPSK quadrature phase shift keying in a wireless optical communication channel in the visible range is suggested. The algorithm for analyzing signals in the receiving tract is presented. It allows to analyze the presence of two or three pulses of different colors at the input, which will signal the presence of interference or the occurrence of "illumination". In addition, the algorithm provides a possibility of dynamic compensation of external "illumination" by changing the gain of the photodetectors and adjusting the brightness of emitting LEDs. The functional scheme of the device for realization of the offered coding method in the wireless channel on the basis of optical radiation has been developed. Given that most photodiodes are sufficiently wide-band in the visible range of light waves, to increase sensitivity of each color channel and selectivity of the receiving tract it is necessary to apply optical filters for each color channel. The most effective are interference filters made of optically transparent materials with different physical characteristics. The approach for calculating optical filters has been presented.
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Development of tunable band noise genera-tors
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The aim of the work is to develop and study the principle of operation of tunable band noise generators (TBNG) and their characteristics, a noise signal conditioner of a modular type, which provides controlling the bandwidth of a noise signal for using it as a means set-ting radio noise. It is possible to do it through the formation and radiation in the surrounding space of electromagnetic fields of the energy spectrum in specified frequency ranges, with the possibility of changing the amplitude and bandwidth of the signal. To improve performance and make them more widely used in order to provide high-quality counteraction to unauthor-ized removal (by intruders) of information on emission channels of spurious electromagnetic radiation (SER), it is necessary to create multichannel adaptive TBNGs. In the developed generators in each noisy channel, it is possible to provide power adjustment, generated noise signal and noise bandwidth control, which will improve the electromagnetic compatibility of such devices. To ensure this, it is proposed to use a design concept based on the use of con-trolled modules of noise sources with band-pass filters, which also allows you to get a noise signal uniform in amplitude.
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Development of workspace and algorithms for testing SpaceWire onboard equipment
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For a long time, the foreign space industry has been using one of the most advanced and actively devel-oping technologies for transmitting information on board a spacecraft – SpaceWire. This technology pro-vides high-speed transmission of large amounts of information, the creation of a single high-speed data processing infrastructure for connecting sensors, data processing system elements and mass memory blocks. In Russia, SpaceWire is gradually being introduced and used on promising spacecraft. To verify the compliance of the onboard equipment of such vehicles with the requirements of the SpaceWire ECSS-E-ST-50-12C Rev standard.1 there is a need to develop the workplace described in this article. The workplace is designed so that SpaceWire onboard equipment can be connected to it and tests can be run that check cer-tain parameters of information exchange regulated by the standard. The article presents the general struc-ture of the workplace, as well as a description of each of its elements separately, together with a descrip-tion of their functionality. The article also describes the developed testing algorithms. Among them, we can single out a check for compliance with the bit error coefficient to the required value, a check for support for the header removal method by SpaceWire switches, as well as a check for compliance with the require-ments for the RMAP and STP-ISS transport protocols. The algorithms of these tests are presented in the form of flowcharts and a detailed text description. The tests themselves are implemented in the form of pro-gram code in the C language. As a confirmation of the correctness of the developed tests, practical testing of SpaceWire devices was carried out, among which two payload boards for the NORBY spacecraft can be distinguished, as well as an ultra-large integrated circuit 1931KH014 of a programmable switch for SpaceWire networks. A brief description of the testing devices used in the work is given in the form of a presentation of their functionality applicable to the testing workplace being developed.
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Differential evolution in the decision tree learning algorithm
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Decision trees (DT) belong to the most effective classification methods. The main advantage of decision trees is a simple and user-friendly interpretation of the results obtained. But despite its well-known advantages the method has some disadvantages as well. One of them is that DT training on high-dimensional data is very time-consuming. The paper considers the way to reduce the DT learning process duration without losses of classification accuracy. There are different algorithms of DT training; the main of them being ID3 and CART algorithms. The paper proposes a modification of DT learning algorithms by means of the information criterion optimization for some selected attribute. The use of this modification allows avoiding optimization by means of enumeration search over the entire data set. The Separation Measure method is used to select the attribute. The method selects the attribute whose class-based averages are most distant from each other. Optimization of the selected attribute is carried out using the method of differential evolution, which is one of the evolutionary modeling methods designed to solve problems of multidimensional optimization. Self-configuring at the population level based on the probabilities of using mutation operator’s variants was applied for differential evolution. The classification problems were solved to compare standard DT learning algorithms with the modified ones. Algorithm efficiency refers to the percentage of correctly classified test sample objects. Statistical analysis based on Student's t-test was carried out to compare the efficiency of the algorithms. The analysis showed that the use of the proposed modification of the DT learning algorithm makes it possible to significantly speed up the training process without losses in the classification effectiveness.
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Efficiency improving of emergency monitoring and forecasting based on the information system
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The article is devoted to the automated information system modification to solve monitoring and forecasting problems of natural and man-made emergencies in order to increase the efficiency of its functioning, namely, to increase the execution speed of the main operations, to reduce the error probability. Monitoring and forecasting of emergencies are among the priorities in the field of population from emergencies protection, as the prevention and elimination of their consequences are carried out on the basis of these tasks. At the same time, the data collection speed, processing and analysis largely determine the efficiency of the obtained results. The existing system of monitoring and forecasting of natural and man-made emergencies, its functional model in IDEF0 notation, characteristic features, advantages and disadvantages are considered. The existing system can be improved by automating a number of tasks related to the processing, transmission and storage of large data amounts, including real time data, as well as the generation of consolidated reports on the results of monitoring and forecasting of various objects. The information architecture of the solution reviewed and the corresponding database model form the basis of the proposed solution. The IDEF0 model of emergency monitoring and forecasting has been introduced taking into account the proposed modification of the automated information system. The main operation execution time comparative analysis based on the initial and modified automated information system (AIS) using the existing hardware confirms the effectiveness of the proposed solution. Data exchange and generation automation of consolidated reports on multiple monitoring objects will simplify analysis of the obtained results and solutions development based on them aimed at prevention of natural and man-made emergencies, as well as elimination of their consequences.
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Elastic-plastic problem in the case of inhomogeneous plasticity under complex shear conditions
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In this research, the authors solved a two-dimensional elastic-plastic problem of the stress state under com-plex shear conditions in the body weakened by a hole that is bounded by a piecewise smooth contour. The stress state of a complex shear occurs in a cylindrical body of infinite length under the action of loads directed along the cylinder generators and constant along the generators. At the same time, with a sufficiently large load, both elastic and plastic zones appear in the body. As in any problem of this kind, it is necessary to find a previously unknown boundary separating the elastic and plastic zones. Finding such a boundary is not an easy task, but the specificity of elastic-plastic problems of complex shear is that solving such problems is easier than solving simi-lar elastic problems. Apparently, for the first time this fact was noted by G. P. Cherepanov. A lot of research is devoted to elastic-plastic problems of complex shear in the case of homogeneous and iso-tropic plasticity. All articles that solve complex shear problems essentially use the representation of stresses and displacements in the elastic zone in a complex form. In this research, the problems of complex shear are solved using conservation laws. It is assumed that the yield strength is a function of the coordinates of the point where the stress state is being studied. It is known that the elastic properties of structural materials can be homogene-ous and isotropic, while their yield point and strength are inhomogeneous. This situation is observed, for exam-ple, in the case of neutron bombardment of structural materials. This research will examine exactly this situa-tion. The article presents conservation laws for equations describing a complex shear. It was assumed that the components of the conserved current depend on the components of the stress tensor and coordinates. The com-ponents of the stress tensor are included in them linearly. The problem of finding the components of the con-served current was reduced to the Cauchy-Riemann system. The solution of this system allowed us to reduce the calculations of the stress tensor components to a curvilinear integral along the contour of the hole and thus find the boundary between the elastic and plastic areas.
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Elastic-plastic torsion of a two-layer rod
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We study the elastic-plastic torsion of a two-layer rod under the action of torque in this article. It is as-sumed that the rod consists of two layers. Each layer has its own elastic properties, but the plastic proper-ties of both layers are the same. The contact boundary of the layers is located along the ох axis. The lateral boundary of the rod is stress-free, displacements and stresses are continuous at the interface. The compo-nents of the stress tensor at a point are calculated using contour integrals derived from conservation laws calculated along the lateral boundary. Next, the second invariant of the stress tensor is compared with the yield strength. At those points where the yield point is reached, the plastic state is realized, in the rest – elastic. This allows you to build a boundary between the plastic and elastic regions. This technique pro-vides a way to calculate elastic-plastic boundaries for the main rolling profiles of rods. This is supposed to be done in subsequent works. We remind you that earlier, with the help of conservation laws, the main boundary value problems for a plastic two-dimensional medium, elastic-plastic torsion of isotropic rods and elastic media for bodies of finite dimensions were solved.
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Errors reduction while locating objects of the radio navigation system
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The present research considers a method for improving the accuracy of the dead reckoning position of a board station based on signals from the ground-based radio navigation systems. In the radio navigation sys-tem, grounded on the signal emitted by the base fixed stations, the slave fixed stations receive signals deter-mining the moments of their arrival relative to their own time scales. On the other hand, based on the radio frequency emitting signals by the slave fixed stations, the base fixed stations receive signals defining the moments of their arrival relative to their own time scale. According to the measured moments of radio emit-ted signal arrival, time corrections are calculated to the time scales of the slave fixed stations relative to the base fixed station. Since the time correction is calculated for a time of no more than 10 seconds, a random components are excluded due to the variability of the propagation velocity of the surface electromagnetic wave due to the variability of the environmental parameters and the parameters of the near-surface layer of the electromagnetic wave propagation area. If the calculated value of the time correction of the duration of the clock interval of the generated signal is exceeded, the moment correction (up to a clock) of the formation of the modulating code of the signal emitted by the slave fixed station is performed and the calculated value of the time correction is improved by the value of the previously corrected clock duration. The corrected values of the time corrections (pre-coded) are transmitted to each of the slave fixed stations as a part of their navigation signals. The navigation information consumer receives the radio navigation signals emitted by the fixed stations, through decoding, a consumer highlights information about the mismatch of time scales from the signals of the fixed stations and measures the radio navigation parameters with heightened accura-cy due to compensation for the error of the out-of-sync radiation signals of the slave fixed stations of the radio navigation system.
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