scholarly journals Mathematical Models of Main Units and Units of Automated Stabilization Instrument Complex

2021 ◽  
Vol 43 (5) ◽  
pp. 108-121
Author(s):  
O.M. Bezvesilna ◽  
◽  
V.D. Samoylov ◽  
M.V. Ilchenko ◽  
◽  
...  

This work presents the developed mathematical models of the main components and units that are part of the stabilizer: control panel, gyrotachometer GT46, position sensor, control unit, etc. Mathematical models of the armament unit and turret with gearbox and motor are obtained. A mathematical model of analog and digital control path of the horizontal guidance channel is obtained; vertical guidance channel; results of mathematical modeling of control modes: for vertical channel, for horizontal channel. Mathematical models have been developed, which are used in modeling the stabilizer control modes, as well as in the study of changes in the circuit-technical solution of the weapon stabilizer in order to increase its accuracy. The reliability of the obtained results was confirmed by the results of experimental testing.

Author(s):  
Olena LEVCHUK

In the context of globalization processes, the professional activity of future economists is characterized by dynamism, complexity and uncertainty of conditions. Informatization and fundamentalization of knowledge provide relevance to such components of professional competence of the future economist as the ability to think analytically, solve predictive tasks using software products, implement economic and mathematical modeling using modern information systems, apply computer data processing technologies to solve economic problems. This provides the importance of mathematical training, as one of the fundamental, which primarily forms the skills of abstract thinking, analysis and synthesis. Thus, a new function of an educational institution arises in the process of providing educational services - the formation of a competence model of professional education of specialists. The article substantiates the expediency of introducing mathematical modeling based on Mathcad in the process of forming professional competence of future economists. The essence of the concepts of "professional competence" and "mathematical competence" of future economists are considered. It is argued that mathematical training is an important component of professional competence. Today, it is the results of mathematical modeling of real processes that generate the most progressive directions of development in science and technology. Therefore, the concept of an economic-mathematical model plays a fundamental role in the training of economists. The formation of professional competence of future economists, anticipating the integration of professional and personal development, should be carried out using mathematical modeling, starting with junior courses. However, despite the fact that the mathematical model of the process or phenomenon being studied in economics is always its generalized abstract reflection, the mathematical apparatus used is usually quite cumbersome. This is a significant obstacle in strengthening the applied orientation of mathematics in the first years. In our opinion, one of the effective ways to eliminate certain contradictions is the introduction of information technologies The purpose of this publication is to substantiate the feasibility of introducing mathematical modeling based on Mathcad in the process of forming professional competence of future economists, to determine the main didactic requirements and explore the impact of technology on the main components of mathematical training: motivational-value, cognitive, operational-activity, communicative. On the basis of what was studied, we concluded that for a specific specialty it is worth highlighting professionally significant topics, questions, concepts of classical sections of mathematics, which have their application in professionally-oriented disciplines. The introduction from the first course of professional-oriented tasks related to the specialty, even at the level of the simplest models, allows you to implement the principle of continuity in learning. Since the new content of mathematical disciplines becomes a reliable base for the study of professionally-oriented, within which more complex models are studied, with the help of which the key problems of the future profession are solved In the process of mathematical training of specialists, we used the universal integrated system Mathcad, which allows you to simply and visually enter the original data, carry out the traditional mathematical description of solutions and get the results of calculations using graphical interpretation. This made it possible to consider the simplest mathematical models and, using a complex mathematical apparatus, to develop universal models and algorithms. The main mathematical models of economic systems that are appropriate to consider in mathematical courses are highlighted. Examples of mathematical modeling based on Mathcad are given. The advantages of introducing mathematical modeling into the process of professional training are demonstrated. On the basis of the study, conclusions were drawn that mathematical modeling based on Mathcad allows to improve the main components of the process of mathematical preparation: - motivational and value (the formation of a sustained interest in the mastery of mathematical knowledge and information technology with a view to their application in professional and research activities); - cognitive (obtaining fundamental knowledge from the classical sections of mathematics and the ability to apply them in the process of mathematical modeling) - operational-activity (self-realization in professional activity by means of mathematical modeling based on the integration of knowledge across professional-oriented and mathematical disciplines using information technologies); - communicative (possession of ways of presenting the results of its activity-communicative (possession of ways of presenting the results of its activities). The study showed that the introduction of mathematical modeling should provide the following didactic requirements: - a fairly correct idea of ​​the teacher about the holistic picture of the future educational and professional activities of the student; - definition of goals and purpose of the introduced new content in the content of mathematical disciplines; - Compliance of the learning task with the ideas of the personal approach (updating the personal functions of specialists, consistency with the problems of practical training in production); - approbation of the skills and skills produced in practice. This allows you to organize student-centric education.


Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1569
Author(s):  
Jesús Montejo-Gámez ◽  
Elvira Fernández-Ahumada ◽  
Natividad Adamuz-Povedano

This paper shows a tool for the analysis of written productions that allows for the characterization of the mathematical models that students develop when solving modeling tasks. For this purpose, different conceptualizations of mathematical models in education are discussed, paying special attention to the evidence that characterizes a school model. The discussion leads to the consideration of three components, which constitute the main categories of the proposed tool: the real system to be modeled, its mathematization and the representations used to express both. These categories and the corresponding analysis procedure are explained and illustrated through two working examples, which expose the value of the tool in establishing the foci of analysis when investigating school models, and thus, suggest modeling skills. The connection of this tool with other approaches to educational research on mathematical modeling is also discussed.


2013 ◽  
Vol 18 (9) ◽  
pp. 571

This call for manuscripts is requesting articles that address how to use mathematical models to analyze, predict, and resolve issues arising in the real world.


Author(s):  
Terrence Fine

This chapter challenges the nearly universal reliance upon standard mathematical probability for mathematical modeling of chance and uncertain phenomena, and offers four alternatives. In standard practice, precise assignments are made inappropriately, even to the occurrences of events that may be unobservable in principle. Four familiar examples of chance or uncertain phenomena are discussed, about which this is true. The theory of measurement provides an understanding of the relationship between the accuracy of information and the precision with which the phenomenon under examination should be modeled mathematically. The model of modal or classificatory probability offers the least precision. Comparative probability, plausibility/belief functions and upper/lower probabilities are carefully considered. The selectable precision of these alternative mathematical models of chance and uncertainty makes for an improved range of levels of accuracy in modeling the empirical domain phenomena of chance, uncertainty, and indeterminacy. Knowledge of such models encourages further thought in this direction.


2019 ◽  
Vol 23 (3) ◽  
pp. 328-334
Author(s):  
E. Ya. Yanchevskaya ◽  
O. A. Mesnyankina

Mathematical modeling of diseases is an urgent problem in the modern world. More and more researchers are turning to mathematical models to predict a particular disease, as they help the most correct and accurate study of changes in certain processes occurring in society. Mathematical modeling is indispensable in certain areas of medicine, where real experiments are impossible or difficult, for example, in epidemiology. The article is devoted to the historical aspects of studying the possibilities of mathematical modeling in medicine. The review demonstrates the main stages of development, achievements and prospects of this direction.


Author(s):  
Olena Bibik ◽  
◽  
Oleksandr Popovich ◽  

The mode of operation of induction motors (IMs) affects their performance. In most cases, motors are optimally designed for steady state operation. When operating in other modes, additional attention is required to the problems of energy efficiency. Induction motors are the most common type of electromechanical energy converters, and a significant part of them operate under conditions of periodic changes in the load torque. The work is devoted to solving the problem of increasing the energy efficiency of asynchronous motors of electromechanical systems with a periodic load, including pumping and compressor equipment. The traditional solution to this problem for compressor equipment is the optimal design of an IM under static conditions, as well as the use of flywheels, the use of an IM with an increased slip value and controlled IM with a squirrel-cage rotor and with frequency converters. In this work, the modes of operation of asynchronous motors with periodic loading are investigated. For this, complex mathematical models are developed in the simulation system. Such models are effective in modeling taking into account periodic load changes: repetitive transient processes, their possible asymmetry and non-sinusoidality, increased influence of nonlinearity of electromagnetic parameters. In complex mathematical modeling, the mutual influence of the constituent parts of the electromechanical system is taken into account. Simulation allowed quantifying the deterioration in energy efficiency under intermittent loading, in comparison with static modes. Criteria for evaluating quasi-static modes have been developed and areas of critical decrease in efficiency have been determined. The paper proposes and demonstrates a methodology for solving this problem. For this purpose, tools have been created for the optimal design of asynchronous motors as part of electromechanical systems with periodic loading. These tools include: complex mathematical models of electromechanical systems with asynchronous motors with periodic load, mathematical tools for determining the parameters of quasi-steady-state modes, the methodology of optimal design based on the criterion of the maximum efficiency of processes under quasi-steady-state modes of operation. The possibilities, advantages and prospects of using the developed mathemati-cal apparatus for solving a number of problems to improve the efficiency of electric drives of compressor and pumping equipment are demonstrated. It is shown that by taking into account quasi-static processes, the use of complex mathematical models for the optimal design of asynchronous motors with a periodic load provides an in-crease in efficiency up to 8 ... 10%, relative to the indicators of motors that are de-signed without taking into account the quasi-static modes. The areas of intense quasi-steady-state modes are determined using the devel-oped criterion. In these areas, there is a critical decrease in efficiency compared to continuous load operation. A decrease in efficiency is associated with a decrease in the amount of kinetic energy of the rotating parts compared to the amount of electromagnetic energy. In connection with the development of a frequency-controlled asynchronous drive of mechanisms with a periodic load, the relevance of design taking into account the peculiarities of quasi-static has increased significantly. For example, a variable frequency drive of a refrigerator compressor or a heat pump can increase energy efficiency up to 40%, but at low speeds, due to a decrease in kinetic energy, the efficiency can decrease to 10 ... 15%, unless a special design methodology is applied. This problem can be solved by using the complex mathematical modeling tools developed in the article.


2014 ◽  
Vol 1040 ◽  
pp. 478-483
Author(s):  
M. Goreshnev ◽  
E. Litvishko

The article is devoted to the mathematical modeling of vacuum conductive timber drying. Analysis of known mathematical models allowed revealing their advantages and disadvantages. The modeling block diagram based on the drying periods is proposed. Lykov’s equations have been selected to solve heat and mass transfer problems. The comparison of experimental and calculated data has been conducted.


2012 ◽  
Vol 63 (5) ◽  
pp. 316-321 ◽  
Author(s):  
Fatiha Lakdja ◽  
Fatima Zohra Gherbi ◽  
Redouane Berber ◽  
Houari Boudjella

Very few publications have been focused on the mathematical modeling of Flexible Alternating Current Transmission Systems (FACTS) -devices in optimal power flow analysis. A Thyristor Controlled Series Capacitors (TCSC) model has been proposed, and the model has been implemented in a successive QP. The mathematical models for TCSC have been established, and the Optimal Power Flow (OPF) problem with these FACTS-devices is solved by Newtons method. This article employs the Newton- based OPF-TCSC solver of MATLAB Simulator, thus it is essential to understand the development of OPF and the suitability of Newton-based algorithms for solving OPF-TCSC problem. The proposed concept was tested and validated with TCSC in twenty six-bus test system. Result shows that, when TCSC is used to relieve congestion in the system and the investment on TCSC can be recovered, with a new and original idea of integration.


2021 ◽  
Vol 22 (5) ◽  
pp. 272-280
Author(s):  
S. G. Pushkov ◽  
L. L. Lovitsky ◽  
O. Y. Gorshkova ◽  
I. V. Malakhova

Problems of mathematical modeling of onboard air data systems errors are of paramount importance in pitot-static sources errors determination, air data systems evaluation in flight tests. The problems of development, identification and assessment of the mathematical models of errors adequacy acquire main importance in the modern technology of the air parameters true values determination, air data systems evaluation using satellite navigation systems, developed and applied in the practice of flight tests at JSC "FRI n.a. M. M. Gromov". This paper gives a general description of an air data systems estimation technology using satellite navigation systems. The principles of solving problems of aircraft data systems aerodynamic errors mathematical modeling are stated. The structure of mathematical models, factors of the aerodynamic errors, relationship of the solving problems of errors modeling within the framework of technology with a flight experiment plan are shown. Mathematical models parameters identification are based on a complex solving of the problems of a true air data parameters values and aerodynamic errors determination in flight tests. New results of mathematical modeling of errors in tests at high angles of attack in 2018 year of medium-range and short-range aircraft are presented. The results illustrate the technology effectiveness in solving the problems of flight tests at high angles of attack information support, aerodynamic errors modeling, air data systems estimation. The applied modeling methods make it possible to allocate in the mathematical models of pitot-static sources aerodynamic errors even the factors of very weak aerodynamic influence, comparable with the minimum pressure sensors instrumental errors.


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