In this article the results of analysis of special simply-supported plate by theory of plates of moderate thickness are presented. The special feature of this plate consists in specification of special boundary conditions on its edges which are different from usually specified boundary conditions. The uniformly distributed load is acting upon the plate. In this article the results of analysis by the finite element method are presented
Keywords: simply-supported plate, theory of thick plates, theory of plates of moderate thickness, Mindlin plate theory, Kirchhoff plate theory, bending moment, twisting moment, shear force, finite element method
This paper describes the process of the flight of powder particles when departing from a nozzle during laser deposition under the influence of an electrostatic field created by electrostatic lenses. Electrostatic force acting on charged particles, interaction between particles, dipole interaction with a field, and gravity are taken into account.
Keywords: simulation, laser cladding, gas powder flow control, electrostatic lens, focusing
A comparison was made between two methods for analyzing trends recorded by the scanner — EMD and EF. Informative components are given to build a forecast that can be used to change the controller in the system.
Keywords: Empirical Decomposition (EMD), Extreme Filtering (EF), Paper Machine (BDM), Real-Time Systems, Frame-by-Frame Signal Processing
Dynamic norms for random and directed mutations in a genetic algorithm for solving the problem of placing elements in an orthonormal lattice have been developed. The principle of these norms is borrowed from the method of imitation annealing. The probability of using random mutations decreases in accordance with the annealing temperature, and the probability of directional mutations increases from iteration to iteration when approaching the optimum.
Keywords: genetic algorithm, the task of placing the elements, the annealing method, random mutations, directed deterministic mutations
The article proposes a structural-functional model of a data storage system based on solid-state drives, implementing deduplication technology to optimize the use of disk space. The concept is based on systems approach. The functioning model is presented in the form of interaction between the control subject (the system administrator) and the control object (the storage system). The system is exposed to external stream of requests from user applications over the Internet. The output parameters of the system include such performance indicators as storage capacity, storage time, storage cost, performance and reliability. The data storage system is presented in the form of four main integrated components, sequentially connected with each other: Network Service; deduplication system based on VDO technology; write management system, software RAID Control System; array of SSD drives. While the flow of requests passes through the system, the delay at each component is determined by the appropriate mathematical model. Such a structural and functional representation of the system allows applying the methods of statistical modeling and queuing theory to its analysis. The use of the proposed model will allow to design a data storage system of the given volume and service life with a minimum storage cost for a consumer with given performance and reliability indicators.
Keywords: data storage system, solid-state drives, deduplication, SSD-drive, RAID-array, modeling, optimization
An algorithm for generating and calculating a cargo plan for the Annenkov ferry is described. On the basis of data from the automated control system for the operation of the Caucasus station of the North Caucasian Railway, a software application is being developed that allows to automate the process of drawing up a freight plan. It is proposed to upgrade the existing process of sorting in the process of following the composition in the cargo port
Keywords: cargo plan, Annenkov ferry, port of Kavkaz, algorithm for forming rail carriages, mobile application, cargo transportation, rail-ferry service
The authors consider the issue of assessing partial failure in the technical system from the standpoint of parametric reliability. Evaluation of failure behavior is carried out according to such parameters as time between hours to failure and the achievement of goals, risks. Under the risk in this paper refers to the likelihood of a subsequent failure (full or partial) or the transition occurred in full. The authors propose to expand the range of parameters that characterize hitting a failure state by adding characteristics of possible degradation processes and values of destructive environmental factors in the predicted period of continued operation of the object under study. Also, special attention is paid to the fact that the likelihood of partial failure is influenced by factors that can be divided into external and internal, while the internal ones may depend on external ones. Ishikawa diagram shows the dependence of the rate of degradation of the PR on various factors.
Keywords: partial failure, parametric reliability, risk, time of failure degradation, Ishikawa diagram
The paper presents an analytical description of the unfolding surface of one of the products of light industry – aerodynamic shape. All surface elements are designed in the Maple environment based on the 4GL package commands. A set of commands allowing to describe surfaces and spatial curves analytically is proposed for the construction of 3D graphical objects. Elements sweep aerodynamic shape are conical and cylindrical sweep with a special character of their boundaries. The proposed description of the surface of the air shape allows you to design a technical product of specified geometric dimensions according to the calculated geometry of the elements of the air shape.
Keywords: description of the spatial shape of aero figures, Maple 2015 package, 3D graphic objects of conical and cylindrical types, 2D scanning
The paper deals with the derivation of the basic relations of the theory of finite rotations. A numerical study of the dependence of the guide cosine of the final rotation on the guide cosines of a fixed coordinate system and the coordinate system associated with a solid is carried out. The formulas for the cosines of the angle of final rotation are obtained. The developed program of calculation of the values of the guides of the cosines of the final turning of the quantities in the problem statement. A graph of the dependence of the guide cosine of the final turn on the sine of the angle of the final turn. This dependence is clearly displayed when the program is started.
Keywords: vector orientation in space, spherical trigonometry, finite rotation angle, guiding cosine, Euler angles, finite rotation
Features of functioning of the enterprises of car service at increase in seasonal demand for THAT and repair of motor vehicles are considered. For the analysis of their activity in the conditions of limited resources and a random flow of applications (requirements) the device of system of Queuing is applied
Keywords: Enterprise car service, the flow of requirements probability, criteria, costs, efficiency
The generalized approach of statistical processing of results of fatigue tests of samples on the basis of a choice of numerical characteristics of parameter of static durability, processing of results of fatigue tests with use of methods of mathematical statistics, construction of a fatigue curve according to the linear regression analysis of mechanical characteristics of materials of designs and machines, definition of parameters of function of distribution of a limit of endurance by results of processing of diagrams of step change of loading is offered.
Keywords: Static strength, cyclic strength, reliability, mechanical properties of materials, endurance limit, mathematical statistics, linear regression analysis, method of step change of load, test planning
A new method, including fuzzification operation, representing the calculation of the membership functions of the key parameters of the R, G, B, RG, RB, GB components of the original color RGB photographs of plant leaves and the GLCM adjacency matrix, the formation of fuzzy conclusions about the type of plant disease, defusing using threshold binarization signs and majority voting on 24 parameters.
Keywords: GLCM - matrix, fuzzy logic, functions of accessories, binarization of key characteristics, majority voting
This article presents the results which purpose of cases of intentional distortion of "objective" ratings based on individual indicators. The aim of the study was to build an algorithm for determining unfairly placed places in the ranking as a result of manual adjustment. The main tool is the identification of the weight coefficients of private ratings with a known form of the functional dependence of the overall rating. The analysis of techniques of creation of one of popular Russian ratings was for this purpose carried out, mathematical models of dependence of the general rating of higher education institution on its private ratings are received. It was revealed the presence of subjectivity in the construction of the rating, which manifests itself in the form of an unfair score. Standard methods do not allow to reveal such non-random "emissions" and do not provide an objective assessment. The offered algorithm allows to find such "emissions", to exclude them from selection and define fair values. The offered algorithm can be useful for heads of universities to check the correctness of the occupied place in the ranking of their organization and understanding of their real position among other universities.
Keywords: statistical analysis, multiple linear regression, ordinary least squares, approximation, rankings, indicators, higher education
A methodology for the study of associative memory devices and systems in the environment of functional-logical modeling MatLab / Simulink and the development tools of programmable logic integrated circuits is proposed. To this end, it is proposed to implement the typing of the representation and modeling of such devices and systems by implementing the characteristics of the representation and organization of network associative structures in the modeling environment.
Keywords: Associative memory devices and systems, functional and logical modeling
The process of cavitation is one of the reasons for the premature wear of pumping equipment components. Elements of a pumping wheel are subject to the greatest wear. In addition, cavitation causes undesirable effects such as vibration and noise. In order to reduce cavitational damage and increase the service life of pumping equipment, the authors of this article propose to install a special-shaped flow divider at the pump inlet that breaks the flow entering the pump into separate jets of a certain shape and structure.
Keywords: fluid, centrifugal pump, regulation, cavitation, flow, bubble, flow divider
This work is a description of the method of restoration of patterned woven fabric by means of computer technology. The problem of computer reconstruction of a historical object is rarely addressed in scientific publications. However, now the question of the feasibility of prototyping and modeling in the digital space is significant, because it is a computer model that allows you to give an accurate idea of the task, of problem situations, helps to warn about possible or already occurred errors.
Keywords: textiles, computer technology, raster editor, digital restoration, macro, processing, restoration, pattern, pattern, fabric
The article considers the solution of the problem of determining the dynamic characteristics of the relative humidity sensor, the mathematical model of which was based on the first order aperiodic link. The solution algorithm consists in minimizing the value of the standard mismatch of the approximating function and the set of experimental data. The results of processing experiments with the DHT-22 temperature and humidity sensor are presented. The sensor was placed three times in a medium with high humidity, which allowed to obtain an average experimental transient response. The period of measurement and registration of humidity and temperature was 1.5 seconds. The proposed method of calculating the dynamic parameters of the sensor allowed to determine the value of the time constant and the gain of the aperiodic link for the sensor under study. The obtained dynamic characteristics can be used to form an inverse transfer function for the humidity sensor.
Keywords: capacitive humidity sensor transient response, the sequence of measurements, the time constant, the minimization of the error
The object of research in this article has become a rather important topic of describing such a statistical method as analysis of variance. The fact is that many software products consider, basically, a case when the number of factors is not more than two. With the exception of such a powerful product as a SPSS Statistica. The same can be attributed to scientific works, where the method of analysis of variance with a large number of factors is very rarely considered and described (often, when it comes to multifactorial analysis of variance, two factors are also considered). Therefore, an analysis was made of the existing mathematical apparatus, a proprietary idea was proposed for the implementation of this statistical method, and was created a software product to demonstrate how its work.
Keywords: variance analysis, general case, software implementation
The article is devoted to the study of the possibility of applying the methods of system analysis in modeling the process of pasteurization of milk. The paper discusses structural-parametric, functional-operator, informational and target management models for a convenient "description" of the pasteurization process. The resulting models and their coefficients describing the process of pasteurization, based on the methods of system analysis, are suitable for the practical solution of the problem of managing the production process. The authors applied functional risk analysis and identified the risks of milk pasteurization.
Keywords: system analysis, pasteurization, milk, risk, modeling, process, functional risk analysis, system analysis, model, production
The paper analyzes various planning approaches that are part of the QoS QoS assurance subsystem in LTE networks in situations of network traffic congestion. Using different strategies for different types of traffic allows operators to offer different levels of quality of service for voice users. Evaluations of the efficiency of packet transfer scheduling algorithms are given.
Keywords: LTE, Long-Term Evolution, scheduling algorithms, FIFO, Round Robin, Shortest Job First, Random Early Detection, RED, RR, SJF, QoS, VoIP, CSFB, VoLTE
The object of research is the consideration and analysis of such a field as information retrieval. Given the rapid growth in the number of electronic documents, the tasks of their clustering, classification and ordering become very relevant. The work also indicates the need for creating formal methods for the semantics of texts and their processing. In addition, a software product was created that implements such a functional of semantic analysis as context and contextual bundle. The scientific novelty is to teach the machine to disclose the physical meaning in the documentation of a technical nature, to optimize the search for the necessary data
Keywords: semantics, contextual connective, reverse polish notation, clustering, context
In this paper, the concept of minimal intuitionistic dominating vertex subset of intuitionistic fuzzy graph was considered, and on its basis the notion of a domination set as an invariant of the intuitionistic fuzzy graph was considered. A method and an algorithm for finding all minimal intuitionistic dominating vertex subset and domination set were proposed. This method is the generalization of Maghout’s method for fuzzy graphs. The example of finding the domination set of the intuitionistic fuzzy graph was considered as well. The considered method and algorithm can be used to find other invariants, in particular, externally stable set, intuitionistic base and antibase of the intuitionistic fuzzy graphs.
Keywords: intuitionistic fuzzy set, degree of belonging, degree of non-belonging, fuzzy relation, intuitionistic fuzzy graph, intuitionistic fuzzy graph of the first kind, domination set, algorithm, disjunctive member, adjacency matrix
The model of stream and network computer investigations including imitating and analytical models is presented in article. The essence of model consists in modeling of processes of identification of information flows of the protected mobile knot. Distinctive feature of this stage is imitation of search and identification of the information flow formed by the mobile communication center taking into account dynamic accidental switching between information flows, various time spent in this stream, and also accounting of a number of the parameters characterizing means of stream investigation. Further time of scanning of the network equipment, is estimated by means of network investigation. Output result of a simulation model is the probability of identification of the protected mobile communication center means of stream and network computer investigations. Considering need of possession of a number of specific skills of the environments of imitating modeling connected with use, and also essential time expenditure, results were approximated and analytical expression of required size is received. For assessment of quality of model are carried out verification of model; estimates of adequacy and stability of model, and also estimates of an error and sensitivity. On the basis of comparison of results of modeling developed and the known models definitely that the reliability of results of modeling increased by 12-15%.
Keywords: stream and network computer models, simulation model, knot of computer network
In work area of application for quantitative metrics of databases are considered. Quality control of the database scheme is impossible without numerical indicators. Metrics of the database can be calculated it is automated that guarantees the accuracy and recurrence of such measurements. In article the model for assessment of complexity of the physical scheme for relational database based on metrics of the table of the database is offered. For the offered model by using the method of T. Saati, received coefficients which consider extent of influence of each metrics on complexity of the database. On the example of real projects for databases quantitative measurements of their metrics in MySQL are executed. The comparative analysis of the results obtained for the model of complexity estimates for various projects of physical schemes for databases and the amount of information contained in sql-scripts of these databases are described.
Keywords: evaluation of complexity, database, physical schema, model, SQL, entropy
Fractal geometry is used in the development of new designs based on the principles of fractal shaping and the study of generations of fractal structures. The structure generation is characterized by optimization of the original geometry in the process of iteration. Fractal structures of older generations have the best indicators of reliability. The aim of the study is to develop an algorithm for modeling new designs based on the principles of fractal shaping. The development of fractal structures requires the creation of new technologies and materials.
Keywords: fractal structure, generations, fractal geometry, shaping, self-developing structures, unique structures, 3D modeling