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Vol 7, No 2 (2020)

Articles

Inverse problems of plasma discharge control in a tokamak with iron core

Andreev V.F., Popov A.M.

Abstract

A mathematical model has been developed to calculate the discharge scenario and program regime in the tokamak with taking into account the nonlinear behavior of the iron core. The model includes the solution of two-dimensional equilibrium problems, and the evolution of the integral parameters of the plasma is described by the Kirchhoff equations. An effective numerical algorithm is proposed that allows one to solve the incorrect inverse equilibrium problem when holding currents are found for a given geometry and plasma parameters to ensure this equilibrium. On the example of the tokamak T-15, the equilibria and the program regime are calculated.
Computational nanotechnology. 2020;7(2):11-20
pages 11-20 views

Calculation of stages of the technological process of manufacture of PPD detectors using computer mathematical modeling and production of alpha radiometer on their basis

Radzhapov S.A., Rakhimov R.K., Radzhapov B.S., Zufarov M.A.

Abstract

The article describes the developed radiometer for Express measurement of alpha radiation of radioactive elements based on a large-diameter silicon detector. The main element of the PPD detector is made using computer mathematical modeling of all stages of the technological process of manufacturing detectors, taking into account at each stage the degree of influence of the properties of the initial silicon on the electrophysical and radiometric characteristics of the detector. Detectors are manufactured for certain types of devices. The developed radiometer is designed to measure alpha radiation of natural isotopes (238U, 234U, 232Th, 226Ra, 222Rn, 218Po, 214Bi, etc.) in various environments. It also shows the principle of operation of the device, provides a block diagram of the measuring complex, describes the electronic components of the radiometer, as well as the block diagram. Signal transformations (spectrum transfer, filtering, accumulation) are implemented programmatically on the basis of a digital processing module. The device can detect the presence of specific elements in various environments, as well as protect people from the harmful effects of adverse radiation and can be used both in the field and stationary.
Computational nanotechnology. 2020;7(2):21-28
pages 21-28 views

Ensuring reach ability and stability in the synthesis of robust discrete model predictive control in conditions of incomplete information

Nguyen K.T., Zhilenkov A.A., Dang B.K.

Abstract

Methods of synthesis of control of multiscale processes with predictive models for linear discrete time systems are considered. A description is given of a control scheme in which the current control action is obtained by solving at each instant of the sample the optimal control problem with a finite horizon without feedback and using the current state of the object as an initial state. An optimization problem is described that gives an optimal control sequence when the control obtained for the first step of the subsequent sequence is applied to the object. The analysis of the reachability and stability problems of synthesized controls with a predictive model under conditions of disturbances and uncertainties is given. As well as the problems of providing preset indicators of the quality of management and comparing indicators in the management of MPC in open and closed systems. The urgent issues requiring research in the framework of the considered management system are identified. The proposed solutions are extremely relevant to the problems of modeling and control of technological processes of growing nanoscale structures.
Computational nanotechnology. 2020;7(2):29-33
pages 29-33 views

Combinatorial polynomially computable characteristics of substitutions and their properties

Nikonov V.G., Zobov A.I.

Abstract

The construction and selection of a suitable bijective function, that is, substitution, is now becoming an important applied task, particularly for building block encryption systems. Many articles have suggested using different approaches to determining the quality of substitution, but most of them are highly computationally complex. The solution of this problem will significantly expand the range of methods for constructing and analyzing scheme in information protection systems. The purpose of research is to find easily measurable characteristics of substitutions, allowing to evaluate their quality, and also measures of the proximity of a particular substitutions to a random one, or its distance from it. For this purpose, several characteristics were proposed in this work: difference and polynomial, and their mathematical expectation was found, as well as variance for the difference characteristic. This allows us to make a conclusion about its quality by comparing the result of calculating the characteristic for a particular substitution with the calculated mathematical expectation. From a computational point of view, the thesises of the article are of exceptional interest due to the simplicity of the algorithm for quantifying the quality of bijective function substitutions. By its nature, the operation of calculating the difference characteristic carries out a simple summation of integer terms in a fixed and small range. Such an operation, both in the modern and in the prospective element base, is embedded in the logic of a wide range of functional elements, especially when implementing computational actions in the optical range, or on other carriers related to the field of nanotechnology.
Computational nanotechnology. 2020;7(2):34-41
pages 34-41 views

Deadlock algorithm for advanced syntactical analysis and its application to programming languages for quantum computers

Kishkan V.V., Safonov K.V.

Abstract

When developing promising programming languages designed to support the work of supercomputers, including quantum ones, there is a need for research related to testing the developed language under conditions when parsers do not yet exist for it. In particular, in the process of developing a programming language for a quantum computer, it becomes necessary to parse a certain program written in a new programming language, which, like all programming languages, belongs to the class of context-free languages (cf-languages). The problem of syntactical analysis of the monomials of cf-languages was posed in the 50-60s of the last century, however, there are some discrepancies in its formulation, and therefore there is a need to clarify the formulation of this problem. In this regard, we will call the expanded problem of parsing the problem of developing a stupid (non-stop, irrevocable) algorithm that allows establishing whether a given monomial can be deduced using a system of products that form a cf-language grammar, and also find all the conclusions of this monomial at once if the latter exists. The description of the monomial inference is understood as follows: it is necessary to determine for which products from the grammar of the cf-language, how many times and in what order they are used to derive this monomial, which is equivalent to constructing all the output trees. The article has developed a deadlockless algorithm for solving the extended problem of parsing, based on the method of hierarchy of marked brackets. The marked brackets order shows what products they are assigned to, and allows you to trace the order of its use. The algorithm uses the method of successive approximations to solve the Chomsky-Schützenberger system of equations associated with the cf-language grammar. The developed algorithm has a simple software implementation; an assessment of the complexity of the algorithm is also given.
Computational nanotechnology. 2020;7(2):42-48
pages 42-48 views

Topological approach to blackholes anomaly detection in directed networks

Ivanov D.E., Semenov A.S.

Abstract

In this paper we consider the problem of finding a blackhole pattern in directed unweighted graphs. The problem statement is the same as in an original paper by scientists from University of New-Jersey published in 2010. The paper contributes to the special graph pattern matching, the work results can be used for anomaly detection in finances, natural disasters, urban analysis. This paper aims to propose a novel algorithm for blackhole mining, which would take into account inner structure of the “blackhole” pattern and utilize this knowledge for more efficient mining. This paper reviews previously published solutions and tests them on larger graphs containing up to 1 million of nodes. In particular, an iBlackhole algorithm and its Divide and Conquer modification iBlackholeDC are considered, their weak spots are highlighted and reviewed upon. Graph condensation is introduced as an efficient preprocessing for the problem. This paper provides theorems and definitions describing inner structure of the blackhole pattern. Based on the new theorems, a new approach to enumeration of candidates is introduced as well as rules and heuristics aiming for faster filtration of candidates: they utilize topological sorting of a graph and definition of a “special” node, which is also introduced in this paper. Special nodes properties are described. We propose a novel TopSortBH algorithm. It consists of the graph condensation, candidates enumeration and heuristics for candidates filtration. The algorithm is provided with modification called FastSkip, which allows for more aggressive filtering strategy in time-sensitive cases. All mentioned algorithms are implemented and tested on the IBM Power8 based system. Experimental results show efficiency of the condensation as graph preprocessing for the problem. Strong advantage in found blackholes count is demonstrated for TopSortBH in comparison to iBlackholeDC on RMAT, SSCA2 and UR graphs containing up to 1 million nodes.
Computational nanotechnology. 2020;7(2):49-57
pages 49-57 views

Mathematical modeling of optimal parameters of atmospheric influence on the properties of the solar module

Imamov E.Z., Muminov R.A., Rakhimov R.K.

Abstract

Technological factors of environmental impact on the protective structures of solar modules are considered. It is shown that the problem of extending the service life of solar converters is successfully solved by improving the technology of their opera-tion - indirect activities. It is shown that after each regular cleaning of the surface of the protective structures of the solar module can almost completely restore the working efficiency of its power output, even at high (up to 35%) level of reduction due to dust on the territory of our country within one to two days. The atmospheric impact on the protective structures of solar modules was calculated. The influence of the partial pressure of air particles and the large difference between night and day temperatures on the degree of dust contamination of the protective coatings of the solar module is analyzed. They are the main natural factors that reduce the output power and efficiency of solar energy to electricity converters. Keywords: dust and air pollution, climate parame
Computational nanotechnology. 2020;7(2):58-63
pages 58-63 views

Efficiency of drying and calcining of welding electrodes in furnaces using radiation from nanostructured functional ceramics (NFC)

Saidov R.M., Rakhimov R.K., Yusupov B.D., Kholdorov M.K.

Abstract

This article presents the results of research on the influence of various methods of drying and calcining welding electrodes coated with acid-rutile type standard technology in electric furnaces and in furnaces using nanostructured functional ceramics (NFC) radiation on the welding and technological properties of welding electrodes. According to the results of research, the improvement of welding and technological properties during the drying and calcining of welding electrodes in a furnace using radiation with NFC was revealed. Calcination of welding electrodes using NFC radiation allows to obtain high-quality welding and technological properties of coatings without the use of natural drying after coating the welding wire. This makes it possible to perform heat treatment of welding electrodes with great savings in power consumption and reduced calcination time compared to standard technology.
Computational nanotechnology. 2020;7(2):64-70
pages 64-70 views

Computational and experimental method for determining the structural appearance of transmission shafts made using composite materials

Eremin V.P., Bolshikh A.A., Shkurin M.V.

Abstract

This computational and experimental work is dedicated to the development of promising designs of vehicle drive shafts made of polymer composite materials. The paper analyzes the existing models of drive shafts vehicles and substantiates the use of a carbon-fiber drive shaft with titanium tips. A manufacturing technology for such a product is also presented. Evaluation of structure performance under the action of ultimate loads was carried out by the finite element method considering anisotropic properties of reinforced materials. Prototypes of composite drive shafts were produced for further laboratory tests. According to the tests results, the drive shafts withstands a greater torsional moment than the calculated one. As a result, it was decided to install them on a racing vehicle for carrying out field tests. During the field tests of the composite drive shaft, the mounting structure between titanium tip and composite tube was destroyed. During the full-scale tests there were no loads exceeding 60% of the calculated ones, therefore, the main cause of structural failure is fatigue failure. The next stage of the research was the development of a design that is resistant to long-term cyclic loads and has sufficient reliability. This design was designed, manufactured and tested in the framework of field tests.
Computational nanotechnology. 2020;7(2):71-78
pages 71-78 views

Mathematical modeling of results of borrowing foreign words of the Russian language a reflection of the process of historical interaction between Russians and foreigners

Cherepniov M.A., Shvetz A.N.

Abstract

As was mentioned by known sociologist Kenneth Ewart Boulding, the human community, divided into various social organizations, is the most complex class of biological systems. This article is dedicated for mathematical modeling of the process of historical interaction between Russians and foreigners, which are reflected in the formation of a living Russian language. The difficulty lies not only in the large number of relationships, but also in the complexity experienced by the researcher who is inside the system under study. The natural desire to abstract in this study from the system itself can be realized using a strictly scientific approach and computational programming. Namely, by using formal objects and the same formal methods of comparing them, as is customary in mathematics, physics, and other sciences that study the laws of nature in areas that are not directly related to human being and society. To form an objective knowledge base about the interaction of social groups of people, you can use the analysis of traces of this interaction, one of which is their language. It is in the language of a people that the main factors of influence of other peoples - native speakers of another language-remain. These traces, in particular, are borrowed words and expressions. To work with such words and expressions, you must first discard those matches that can be attributed to random. Only in this case can the nature of our research be objective. This article uses statistical analysis methods to identify the fact of accidental coincidence of phonetic and semantic images of words from different languages. The basic tool we have chosen is the birthday paradox theorem. As a result, a method for identifying borrowed words that appeared in the language as a result of the interaction of native speakers of different languages, excluding the random nature of their coincidence, is obtained. The application of software definition of matching words in digitized dictionaries is justified. The method is applied to the Russian language. Conclusions are made about the history of the development of the Russian people and its language. These conclusions are that the main significant influence on the Russian population and its language was exerted by Europeans, primarily the French. At the same time, no traces of the influence of Mongolian or other Eastern languages were found. The influence of the Turkic language group and the Greek language occupy a middle position. At the same time, if the semantic load of Turkic and Greek borrowings is of a general scientific or economic nature, then European borrowings are primarily associated with trade, administration, war, and luxuries. The authors concludes that the family character of interaction between native English speakers and language groups close to the English geographically with the Russian population, since the names of the main family members are borrowed mainly from the English language, while the corresponding names was already exist in the old Slavonic language.
Computational nanotechnology. 2020;7(2):79-89
pages 79-89 views

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