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Symmetrical Multidimensional Matrices and Their Inversion 对称多维矩阵及其反演
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-22-29
В. С. Муха, Vladimir S. Mukha
{"title":"Symmetrical Multidimensional Matrices and Their Inversion","authors":"В. С. Муха, Vladimir S. Mukha","doi":"10.35596/1729-7648-2024-22-1-22-29","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-22-29","url":null,"abstract":"The article discusses the development of the theory of the multidimensional matrices in the part regarding the symmetrical multidimensional matrices. The symmetry property is considered in terms of the structure of the multidimensional matrix. The so called kq-dimensional symmetrical matrices are considered along with the multidimensional symmetrical matrices, i. e. the matrices symmetrical to the multi-indices containing q indices. Unit, unit symmetrical and unit kq-symmetric matrices are considered. The matrices inverse to the multidimensional matrices with respect to the unit, unit symmetrical, and unit kq-symmetrical matrices are defined. It is proven that the matrices, inverse to the multidimensional matrices with respect to the unit symmetrical and unit kq-symmetrical matrices are the Moore–Penrose matrices. The distinct instances are given.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"8 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140418151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algorithm for Non-Contact Monitoring of the Performance of Electronic Equipment Elements 电子设备元件性能的非接触式监测算法
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-48-55
А. В. Гринкевич, А. А. Денис, Т. М. Марчук, Anton V. Grinkevich, Anastasia А. Denis, Timyr M. Marchuk
{"title":"Algorithm for Non-Contact Monitoring of the Performance of Electronic Equipment Elements","authors":"А. В. Гринкевич, А. А. Денис, Т. М. Марчук, Anton V. Grinkevich, Anastasia А. Denis, Timyr M. Marchuk","doi":"10.35596/1729-7648-2024-22-1-48-55","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-48-55","url":null,"abstract":"The research, described in the article, relates to the field of technical diagnostics – one of the componentsof the process of repairing electronic equipment. The main reasons that influence the correct operation of radioelectronic equipment are identified, and the types of technical malfunctions that arise during its operationare identified. The types of faults in printed circuit units have been identified and systematized, a classificationof methods for their diagnosis has been made, an algorithm for contactless monitoring of the performance of radioelectronic equipment elements has been developed, and a device structure for its implementation has been proposed.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"48 S20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140422682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Game Theory Application in the Transport Flows Control Algorithm Development in the Intelligent Transport System 博弈论在智能交通系统运输流量控制算法开发中的应用
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-74-81
Н. С. Янкевич, Natallia Yankevich
{"title":"The Game Theory Application in the Transport Flows Control Algorithm Development in the Intelligent Transport System","authors":"Н. С. Янкевич, Natallia Yankevich","doi":"10.35596/1729-7648-2024-22-1-74-81","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-74-81","url":null,"abstract":"Traffic management in modern intelligent transport systems includes monitoring the actual traffic situation in real time (volumes, speeds, incidents, etc.) and management or controlling transport traffic using this information. At the same time, cars as intelligent transport systems components must be equipped with communication capabilities for exchanging information with other vehicles (V2V) and with road infrastructure (V2I). All this is connected with the presence of special equipment connected to the on-board network for local data collection, which can be exchanged between cars and with a central communication station using wireless Internet. At the same time, the issue of developing the traffic organization algorithms themselves is still open. This problem can be solved with the help of game theory, a fairly new but rapidly developing part of modern mathematics. Unlike optimization theory, which studies the possibilities of constructing an optimal solution for the entire system as a whole, game theory studies ways to optimize individual benefits in competition with other persons (events) that rationally seek to satisfy their own benefits. The problem of “smart” regulation of intersections is quite difficult to solve, it combines the efforts of scientists from different fields of knowledge. However, the rapid development of ICT technologies and their rapid application to transport tasks makes it possible to develop some approaches to optimize the current situation at the intersection.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"580 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140417410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels 带全向轮的移动机器人运动数学模型
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-82-90
А. А. Радкевич, У Синьсинь, А. А. Вельченко, С. А. Павлюковец, A. A. Radkevich, Xinxin Wu, A. A. Velchenko, S. A. Pauliukavets
{"title":"Mathematical Model of Movement of a Mobile Robot with Omnidirectional Wheels","authors":"А. А. Радкевич, У Синьсинь, А. А. Вельченко, С. А. Павлюковец, A. A. Radkevich, Xinxin Wu, A. A. Velchenko, S. A. Pauliukavets","doi":"10.35596/1729-7648-2024-22-1-82-90","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-82-90","url":null,"abstract":"The article discusses the issue of controlling a four-wheeled mobile robot with omnidirectional wheelsof the mecanum type. An analysis of the rotational motion of the omnidirectional mecanum wheel was carriedout, based on its kinematics. For a specific robot with certain overall parameters, a graph of changes in the radiusof the mecanum wheel depending on the angle of its rotation was constructed. Kinematic and dynamic modelsof a mobile four-wheeled robot have been compiled, taking into account its geometric characteristics. The presented expressions are a mathematical description of the behavior of a mobile robot in statics and dynamics. Basedon the obtained models, the principles of operation of the motion control system for a four-wheeled mobile roboton omnidirectional wheels of the mecanum type are formed.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"13 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140421117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dependence of the Values of Inter-Component Phase Relations of the Harmonic Components of Vibration on the Displacement of Misaligned Shafts 振动谐波分量的分量间相位关系值与错位轴位移的关系
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-56-63
Д. А. Кечик, И. Г. Давыдов, D. Kechik, Igor G. Davydov
{"title":"Dependence of the Values of Inter-Component Phase Relations of the Harmonic Components of Vibration on the Displacement of Misaligned Shafts","authors":"Д. А. Кечик, И. Г. Давыдов, D. Kechik, Igor G. Davydov","doi":"10.35596/1729-7648-2024-22-1-56-63","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-56-63","url":null,"abstract":"The analytical dependence of the phases and values of intercomponent phase relations of the harmonic components of vibration displacement of misaligned shafts on their displacement has been presented in the article. Harmonic vibrations of the shafts were modeled using a Lagrangian connecting vibration displacement and forces acting in the system. For ease of derivation, the Lagrangian is rewritten in complex form. The resulting algebraic equations connect the complex amplitudes of vibration components with the amplitudes of periodic forces at the same frequencies and the parameters of the mechanical system (stiffness, damping). The amplitudes of periodic forces are related to the magnitude of the shafts angular and parallel misalignment according to the accepted model. Calculation of intercomponent phase relations values is used to get rid of the random initial phase shift caused by the choice of the timing reference. The magnitude of the effect produced by the misalignment of the shafts on the amplitudes and values of the intercomponent phase relations of the signal components is estimated. The obtained resultcan be used to construct devices for estimation shaft displacements and devices for assessing the condition of equipment based on the analysis of vibration signals.ls.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"7 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140421561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Methodology for Model-Based Design of Mobile Robots Control Algorithms 基于模型的移动机器人控制算法设计方法论
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-91-99
М. М. Tatur, М. S. Ihnatsiuk, А. D. Konikov
{"title":"Methodology for Model-Based Design of Mobile Robots Control Algorithms","authors":"М. М. Tatur, М. S. Ihnatsiuk, А. D. Konikov","doi":"10.35596/1729-7648-2024-22-1-91-99","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-91-99","url":null,"abstract":"This article proposes the formalized methodology for model-based design of mobile platform management systems. The methodology is based on an alternative approach to development, when the model of controlled object is firstly created as a design tool, and then control algorithms are developed. This allows to find the most successful algorithms and select control parameters that are close to optimal in the process of model-based design. As examples, two typical tasks from the field of mobile platform management are given - braking and steering control. The proposed methodology has sufficient unification to be used in the design of control systems for mobile platforms of various types, with different positioning systems, principles of navigation and autopiloting.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"136 26","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140423309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Software Implementation of Methods for Modeling the Interaction of Electromagnetic Radiation with Carbon Nanocomposites 电磁辐射与碳纳米复合材料相互作用建模方法的软件实施
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-100-107
А. А. Лихачев, М. С. Баранова, А. Л. Данилюк, Аrtsiom A. Likhachou, M. Baranava, Alexander L. Danilyuk
{"title":"Software Implementation of Methods for Modeling the Interaction of Electromagnetic Radiation with Carbon Nanocomposites","authors":"А. А. Лихачев, М. С. Баранова, А. Л. Данилюк, Аrtsiom A. Likhachou, M. Baranava, Alexander L. Danilyuk","doi":"10.35596/1729-7648-2024-22-1-100-107","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-100-107","url":null,"abstract":"Methods for modeling the interaction of electromagnetic radiation with a carbon nanostructured composite containing various structural elements, such as carbon fibers, nanoparticles, air gaps, and transition shells are considered. It is shown that for effective and adequate modeling of the interaction of electromagnetic radiation with a carbon nanostructured composite, it is necessary to create software due to the presence of a large set of input parameters, as well as the complexity of calculations. Functional requirements for the software are formulated, reflecting the choice of models and the presence of a convenient interactive interface. The architecture of the software that implements models of interaction of electromagnetic radiation with a carbon nanostructured composite is described, and the software implementation (class structure, methods, user interface) is considered. The developed code is based on proven physical and mathematical models, which make it possible to obtain results close to experimental data. The software architecture allows to effectively manage the modeling process, and also includes the ability to modify models and take into account new structural elements. An interactive interface for users has been developed that allows to easily manage the model parameters and analyze the results of numerical experiments.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"48 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140420543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Experimental Investigation of Characteristics and Development of Nonlinearity Models for FR1-Range Radio-Frequency Amplifiers FR1 量程射频放大器特性的实验研究与非线性模型的开发
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-39-47
В. И. Мордачев, Е. В. Синькевич, Фаю Ван, Д. А. Ционенко, И. В. Шакинко, А. А. Дубовик, Vladimir I. Mordachev, Eugene V. Sinkevich, Fayu Wan, D. Tsyanenka, Ivan V. Shakinka, A. A. Dubovik
{"title":"Experimental Investigation of Characteristics and Development of Nonlinearity Models for FR1-Range Radio-Frequency Amplifiers","authors":"В. И. Мордачев, Е. В. Синькевич, Фаю Ван, Д. А. Ционенко, И. В. Шакинко, А. А. Дубовик, Vladimir I. Mordachev, Eugene V. Sinkevich, Fayu Wan, D. Tsyanenka, Ivan V. Shakinka, A. A. Dubovik","doi":"10.35596/1729-7648-2024-22-1-39-47","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-39-47","url":null,"abstract":"Experimental studies of nonlinear properties of low-power radio-frequency amplifiers similar to those used in 4G/5G mobile communication equipment of the FR1 frequency range are carried out. The measurements of the characteristics of the amplifiers are performed by using the double-frequency testing technique at frequencies of the n7 band (2500–2570 / 2620–2690 MHz), which is allocated in Belarus for 4G mobile communication systems, and the n78 band (3300–3800 MHz), which is planned to be used in Belarus for 5G mobile communications. Based on the results of the measurements of double-frequency characteristics of the amplifiers, their single-tone amplitude characteristics, as well as two-tone characteristics and values of the dynamic range of 3-, 5-, 7-, and 9th order intermodulation in the first harmonic zone, high-order polynomial models of transfer characteristics of the investigated amplifiers are synthesized. The synthesized models are suitable for use in a wide dynamic range of input signals in case of simultaneous modeling of nonlinear effects of all kinds that pose a danger to radio reception in a complex electromagnetic environment created in the frequency bands of mobile (cellular) communications: both “subtle” effects (intermodulation) and “rough” effects (desensitization, cross-modulation). When using the technology of discrete nonlinear analysis of the behavior of radio equipment in a complex electromagnetic environment, the obtained models provide high efficiency of simulation and quantitative analysis of nonlinear processes and radio interference occurring in 4G/5G/6G radio equipment and networks in a complex electromagnetic environment.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"94 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140421869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deposition of SiNx Films with Controlled Residual Stress from SiH4-NH3-He Gaseous Mixture in Inductively Coupled Plasma 在电感耦合等离子体中从 SiH4-NH3-He 气体混合物中沉积具有可控残余应力的氮化硅薄膜
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-5-12
Н. С. Ковальчук, С. А. Демидович, Л. А. Власукова, И. Н. Пархоменко, N. S. Koval’chuk, S. Demidovich, L. Vlasukova, I. Parkhomenko
{"title":"Deposition of SiNx Films with Controlled Residual Stress from SiH4-NH3-He Gaseous Mixture in Inductively Coupled Plasma","authors":"Н. С. Ковальчук, С. А. Демидович, Л. А. Власукова, И. Н. Пархоменко, N. S. Koval’chuk, S. Demidovich, L. Vlasukova, I. Parkhomenko","doi":"10.35596/1729-7648-2024-22-1-5-12","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-5-12","url":null,"abstract":"We have studied residual mechanical stresses of SiNx films deposited on silicon substrates from a SiH4-NH3-He gaseous mixture in an inductively coupled plasma reactor at a deposition temperature of 150 °C. By varying the flow rate ratio of the reacting gases, the power of the plasma source and the pressure in the reaction chamber, it is possible to obtain SiNx films with tensile or compressive residual stresses. The stress drift was estimated within four weeks after film deposition. It has been shown that for nitride films with residual stresses initially close to zero, an increase in the level of compressive stresses to (–300) MPa is observed during storage.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"64 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140420447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Excitation Equations for Longitudinally-Azimutally Irregular Waveguides Taking into Account the Finite of the Walls Conductivity 考虑到壁面传导性有限性的纵向不规则波导激励方程
Doklady BGUIR Pub Date : 2024-02-28 DOI: 10.35596/1729-7648-2024-22-1-13-21
А. А. Kurayev, V. Matveyenka
{"title":"Excitation Equations for Longitudinally-Azimutally Irregular Waveguides Taking into Account the Finite of the Walls Conductivity","authors":"А. А. Kurayev, V. Matveyenka","doi":"10.35596/1729-7648-2024-22-1-13-21","DOIUrl":"https://doi.org/10.35596/1729-7648-2024-22-1-13-21","url":null,"abstract":"Excitation equations for longitudinal-azimuthally irregular waveguides are formulated taking into account losses in the walls. The inner surface of the waveguide walls is given by an arbitrary smooth function b(ϕ, z). The coordinate transformation method replaces the original cylindrical coordinate system r, ϕ, z with a new one ρ, ϕ, z, where ρ = r/(b(ϕ, z)). The new system defines the waveguide boundary as ρ = 1 = const, i. e. the waveguide geometry transforms as a regular cylinder. Taking these functions into account, the standard procedure of the incomplete Galerkin method is used to determine the amplitudes of partial waves. The resulting general equations can be used in the calculation and optimization of both microwave and EHF electronic devices of various types, as well as passive microwave devices of various applications.","PeriodicalId":122672,"journal":{"name":"Doklady BGUIR","volume":"390 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140417433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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