Collection of scientific works of Odesa Military Academy最新文献

{"title":"ГРАФОАНАЛІТИЧНЕ ПРОФІЛЮВАННЯ СПРЯЖЕНИХ КРИВОЛІНІЙНИХ ПОВЕРХОНЬ РІЖУЧОГО ІНСТРУМЕНТУ","authors":"Н. Ісмаілова, Т. Могилянець, Н. Олійник","doi":"10.37129/2313-7509.2023.19.23-28","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.23-28","url":null,"abstract":"In the research, graphic-analytical methods for profiling the cutting tool for processing the helical surface of the drill groove were developed. The basis of these studies was the definition of the characteristics of conjugated surfaces, as the locus of the bases of the normal, which are directed from the points of the surface of revolution to a given helical surface. The methods were based on the position of the differential geometry about the common normal at the points of tangent conjugacy of the surface.\u0000Graphic-analytical profiling is a fairly wide and developed branch of science, based on the one hand on the theoretical and practical achievements of applied geometry, which makes it possible to use it, and on the other hand, it is a powerful analytical tool. Formation is an approximate representation of any set of objects, phenomena of the external world through geometric diversity and relationships between them. Conjugation of curvilinear surfaces of the cutting tool for processing parts in weapons and military equipment is one of the most important topics. The article proposes to optimize the process by creating universal tools, which may include the creation of a kinematic method that will be used to design products with specified parameters. The use of graphic-analytical formation of curved surfaces as a design tool in the \"manual\" mode, in which all graphic formations of conjugate curved surfaces, their interconnection and interdependence will be laid. Of great importance in the design of mating curvilinear surfaces of a cutting tool is the exact reproduction of their shape as the basis for reliable and long-term operation of future real products in weapons and military equipment. This article aims to take a certain step in this direction regarding the creation of mating curved surfaces for the design of cutting tools, processing of products in weapons and military equipment.\u0000Keywords: Graph-analytical formation, kinematic method, surface conjugation, kinematic pairs, parameters, shaping, curved surfaces, drill groove.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128209069","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}

{"title":"ХМАРНІ РІШЕННЯ РЕАЛІЗАЦІЇ ГІБРИДНОЇ IT-ІНФРАСТРУКТУРИ ІНФОРМАЦІЙНО-ОСВІТНЬОГО СЕРЕДОВИЩА ВИЩОГО ВІЙСЬКОВОГО НАВЧАЛЬНОГО ЗАКЛАДУ","authors":"Віктор Чепкій, Валерій Скачков, Олександр Єфимчиков, В. Набок, О. Єльчанінов, С. Осипенко","doi":"10.37129/2313-7509.2023.19.189-202","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.189-202","url":null,"abstract":"According to the cloud-based project, the information and education environment (IE) of a higher military educational institution is being modernized. Hybrid IT infrastructure and cloud solutions for its implementation are analyzed. As a result, a comprehensive model of dialogically close service solutions is presented as a prototype of an open, coordinated and standardized cloud system. The hierarchical two-level structure of the complex model is represented by: at the lower (physical) level, hardware for providing cloud services; at the upper (abstract) level, physically deployed software. The article presents a combined scheme of corporate IT infrastructure maintenance with priority given to the IaaS services segment, the classic scenario of hybrid IT infrastructure deployment, and a ready-made management software solution. These requirements have been transformed into a cloud-based hybrid system architecture that combines the external infrastructure of service providers with the internal local infrastructure of a military educational institution by integrating corporate resources and services into the information and educational environment. The latter are represented by ready-made solutions from Microsoft Azure, Office 365, Imagine Academy, Virtual Academy, and Google Workspace, which Microsoft and Google provide to educational institutions free of charge. The basic version of the freely distributed cloud platform Apache CloudStack v.4 was chosen as a tool for managing the resources of the hybrid IT infrastructure. In this context, the selection criteria and the overall topological ordering of the cloud platform are defined. The organizational emphasis of the platform implementation as a three-level hierarchical investment of structural elements is set. We propose a technical structure of the implementation consisting of two computers, one of which performs the functions of the CloudStack MS Management Server and the Primary Storage, and the other is responsible for the hypervisor and contains the Secondary Storage.\u0000Keywords: information and educational environment, hybrid IT infrastructure, virtualization, service solutions, cloud platform, virtual machine, deployment model.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126777015","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}

{"title":"ІГРОВА МОДЕЛЬ ПІДТРИМКИ ПРИЙНЯТТЯ РІШЕННЯ ЩОДО ВИЗНАЧЕННЯ МОМЕНТУ ПОЧАТКУ МОДЕРНІЗАЦІЇ СИСТЕМИ ОЗБРОЄННЯ ТА ВІЙСЬКОВОЇ ТЕХНІКИ","authors":"Артур Вячеславович Головань, В’ячеслав Головань, Д. Максимчук, Станіслав Олексійович Нікул","doi":"10.37129/2313-7509.2023.19.35-39","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.35-39","url":null,"abstract":"This article proposes a game-based decision support model for determining the optimal time to start modernizing a weapon and military equipment (WMH) system. In the context of one-sided tracking games, where the military analyzes the pure strategy of the opponent, the authors consider a situation where the military has to determine the best time to start modernizing the weapons and military equipment.\u0000One of the key aspects of determining the optimal time to start modernization is to analyze the enemy's strategy. The article provides recommendations for choosing the moment to start analyzing the enemy's pure strategy in games with one-sided tracking. \u0000Within this game model, the military can consider different enemy strategies and their impact on the outcome of the conflict. In particular, decisions on modernization of weapons and their impact on combat performance are taken into account. \u0000The use of a decision support game model to determine when to start modernizing a WME system can be useful for military strategists and analysts involved in planning and managing military operations. It helps to understand how to take into account the actions of adversaries and maintain the competitiveness of military forces through timely and optimal modernization of weapons and military equipment.\u0000Taking into account game aspects and the use of mathematical models can improve strategic planning and decision-making in the context of modernization of weapons and military equipment. The application of a game model can help determine the optimal time to start modernization, which contributes to achieving strategic goals and ensuring military superiority. It can also help to use resources efficiently and reduce the risks associated with the obsolescence of military equipment.\u0000In the future, the game model can be further improved by adding new factors and refining mathematical algorithms.\u0000Keywords: model, modernization, weapons and military equipment system, strategy, game theory.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125286070","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}

{"title":"РЕКОМЕНДАЦІЇ ЩОДО УДОСКОНАЛЕННЯ РУХОМИХ ЗАСОБІВ ТЕХНІЧНОГО ОБСЛУГОВУВАННЯ І РЕМОНТУ ОЗБРОЄННЯ ТА ВІЙСЬКОВОЇ ТЕХНІКИ","authors":"Т. Іванов, Р. Булгаков","doi":"10.37129/2313-7509.2023.19.93-102","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.93-102","url":null,"abstract":"After the full-scale invasion of the Russian Federation on the territory of Ukraine, the issue of repair and restoration of weapons and military equipment of all types that are in service with the Armed Forces of Ukraine and those that come as material and technical assistance from partner countries has become acute, more than ever in the entire existence of the Armed Forces of Ukraine. In particular, there is the issue of repair and restoration of all types of weapons and military equipment by temporary repair and restoration bodies.\u0000In this article, an analysis of the composition and order of use of mobile means of maintenance and repair of missile and artillery weapons in the Armed Forces of Ukraine was carried out, and a comparison was made with the composition and order of use of mobile means of maintenance and repair of the US Armed Forces. Also, during the work, attention was paid to the improvement of the existing mobile means of maintenance and repair of weapons of the missile and artillery nomenclature. This issue was investigated by substantiating the prospects for the development of mobile means of maintenance and repair of missile and artillery weapons.\u0000The mentioned questions have significant problems and cause curiosity and exploratory research among specialists in the technical direction of logistics support in view of the need to make such qualitative changes to the restoration system that would allow to ensure the maximum coverage by proper repair of all defective samples of weapons and military equipment, including samples of foreign production, i.e. those that are in service with NATO countries. But first of all, it is necessary to develop specific recommendations for a prospective complex of mobile vehicles, which will include not only a qualitative update of repair equipment, but also take into account the principle of unification, interoperability and modularity of the sample under study.\u0000Keywords: maintenance, repair, restoration, mobile vehicle, missile and artillery weapons.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116612847","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}

{"title":"ЗАСТОСУВАННЯ ДІАГРАМИ КІНЕМАТИЧНОГО ГВИНТА ПРИ ФОРМУВАННІ КРИВОЛІНІЙНИХ ПОВЕРХОНЬ В ОЗБРОЄННІ ТА ВІЙСЬКОВІЙ ТЕХНІЦІ","authors":"Н. Ісмаілова, Н. Олійник, І. Мікрюков","doi":"10.37129/2313-7509.2023.19.29-34","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.29-34","url":null,"abstract":"The article deals with the formation of surfaces by the movement of auxiliary surfaces (intermediaries), based on a parametric kinematic screw. In modern existing mechanisms operating at high speeds, dynamic loads exceed static loads many times over. To improve accuracy, it is necessary that the process of processing a part with a cutting tool is carried out taking into account the coefficient of uneven rotation in the manufacture of products. The technology of processing complex surfaces by the most productive method of running is closely related to the profiling of conjugated curved surfaces formed by the movement of intermediaries.\u0000The mating curved surfaces of kinematic pairs, with different parameters, in turn, require the development of effective kinematic methods of formation and ensuring high accuracy in the processing of products used in mechanisms and processed on automatic lines, allowing to expand the scope of the most advanced methods of processing complex products.. Proposed  1 the kinematic screw has proven itself well for the formation of mating ruled surfaces, so the urgent task arose to investigate the possibility of using a kinematic screw for mating curved surfaces. The study was developed on the basis of the proven theorem of Academician A.N. Podkorytov, about instantaneous envelope axoids, which allows you to form mating curved surfaces, using a parametric kinematic screw, which takes into account the kinematics of metal-cutting machines.\u0000When solving the set task, the design time is reduced and the accuracy of manufacturing parts in the mechanisms of weapons and military equipment is increased.\u0000Keywords: kinematic method, geometric model, cutting tool, mating surfaces, curved surface, parametric kinematic screw, auxiliary surface (intermediaries), instantaneous axoid envelopes.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115083115","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}

{"title":"ПРО КОНЦЕПЦІЮ ОРГАНІЗАЦІЇ БОРОТЬБИ З БЕЗПІЛОТНИМИ ЛІТАЛЬНИМИ АПАРАТАМИ В МІСЦЯХ ЗБЕРІГАННЯ ЗАСОБІВ УРАЖЕННЯ","authors":"Станіслав Олексійович Нікул, М. Петрушенко, Л. Гордішевський, О. Босий","doi":"10.37129/2313-7509.2023.19.87-92","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.87-92","url":null,"abstract":"The history of small-sized, low-speed unmanned aerial vehicles, in contrast to the history of unmanned aerial vehicles, is not counted for half a century, but only for two dozen years. The first publications devoted to small-sized and low-speed unmanned aerial vehicles were published after 2008. The number of publications on the specified subject significantly increased in 2017-2018. It is during this period that military operations using small-sized and low-speed unmanned aerial vehicles become widespread. As an example, we can mention the attacks on the oil refinery in Saudi Arabia in September 2019, the attack on the airport in the city of Jizan in the same Saudi Arabia in July 2020, the attacks on the Russian air base in the Syrian city of Khmeimi in 2019-2020.\u0000Almost every day, from the regions of the planet where armed conflict is taking place, there are reports of the destruction of storage places of weapons and means of destruction, which affects the course of armed conflicts. It is significant that unmanned aircraft are increasingly being used to destroy weapons. The article highlights the factors that determine the effectiveness of the use of unmanned aerial systems for the destruction of weapons storage sites, and predicted dynamic changes in these factors.\u0000The rapid development of microelectronic technologies, which is currently observed, became the basis for the improvement of unmanned aircraft systems, the expansion of the range of tasks performed by unmanned aircraft, the emergence of new classes of devices and the improvement of the tactics of their use. The rapid development of microelectronics is also considered from the point of view of confirming Moore's law, forecasts for the near future, clarifications of the law for the present time, clarifications of forecasts for the next 15 years. Conceptually, the opinions of the authors regarding the minimization of losses of weapons of destruction are presented, the basis of which are their own observations of the statistics of losses from storage sites of weapons of destruction of the Armed Forces of Ukraine for the period from 2003 to 2018, the causes of losses.\u0000Keywords: means of defeat, unmanned aerial vehicle, storage places, logistic security.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"207 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115451088","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}

{"title":"ПІДВИЩЕННЯ ЖИВУЧОСТІ БЕЗПІЛОТНИХ ЛІТАЛЬНИХ АПАРАТІВ ЗА РАХУНОК ВИКОРИСТАННЯ АДИТИВНИХ ТЕХНОЛОГІЙ","authors":"Вячеслав Бачинський, Олександр Шкурпіт, М. Пестерев, Володимир Оленєв","doi":"10.37129/2313-7509.2023.19.74-79","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.74-79","url":null,"abstract":"The article presents a method of increasing the survivability of unmanned aerial vehicles (UAVs) due to additive technologies (AT). The use of AT, namely 3D printing for the repair and printing of spare parts of UAVs during hostilities will significantly increase their survivability. It was determined that with the improvement of technological equipment and the development of methods of material selection for the manufacture of UAV elements, the direction of creating new UAVs with the help of AT will steadily expand.\u0000ATs provide an opportunity to obtain UAV elements of a certain shape and required size, even in field conditions, which significantly affects the survivability of UAVs. The use of AT makes it possible to significantly reduce the time for the recovery of UAV elements, as well as to reduce material costs. The cost of a printed plastic drone is much lower than similar models made of foam or carbon. In addition, thanks to such a body material and small dimensions, such a UAV will be inconspicuous for enemy radars. Another advantage of the technology is fast production. Russia's invasion of Ukraine revealed a number of problems related to the need to increase the survivability of UAVs and the need to use additive 3D printing technologies in combat conditions. The results of test printing, plastic tests and calculations made it possible to increase the survivability of UAVs whose components are manufactured using additive technologies.\u0000UAVs must have qualities that ensure their survivability and, above all, such qualities that would allow them to withstand the impact of enemy strikes. Such qualities are protection, combat resistance and reparability. Stability of operation of control systems, structural strength of UAVs, operational efficiency of UAVs will ensure that they perform a full range of tasks in accordance with their purpose. The use of AT contributes to the increase in the effectiveness of the combat use of UAVs by 1.5-2 times in connection with the reduction of the time for carrying out restoration and repair work. These calculations are confirmed by the practical experience of using AT during test and experimental flights.\u0000Keywords: additive technologies, UAV, 3D printing, technology, structure.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124070938","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}

{"title":"ЕЛЕМЕНТИ ТЕОРІЇ ДИНАМІЧНО РОЗВИНУТОЇ ПІДВІСКИ ВІЙСЬКОВОГО АВТОМОБІЛЯ","authors":"Л. М. Петров, Ю. М. Петрик","doi":"10.37129/2313-7509.2023.19.134-139","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.134-139","url":null,"abstract":"In the authors' article, the elements of the theory of the dynamically developed suspension of the military vehicle are given by the constructive improvement of its suspension by connecting it to the wheel drive, the beam of which is attached to the frame of the car by springs. Also considered are the issues of researching the dynamically developed suspension of a military vehicle by creating an additional number of movements of the auxiliary system and the movement of the center of mass of this system.\u0000The conducted studies theoretically provided an improved technological scheme for loading the wheel drive when it moves the support, converting the energy supplied to the wheel drive and the quantitative movements kinematically distributed in the wheel drive into the controlled motion of the car relative to the wheel disk with the addition of the traction force of the car with the transferable forces of quantitative motion, which is an auxiliary factor to the innovative technology of its movement.\u0000For the first time, a technology was considered in which the law of change of mechanical energy is applied during the rotation of a wheel drive over an obstacle, i.e., the energy supplied to the wheel drive and quantitative movements kinematically distributed in the wheel drive in the controlled relative to the wheel disc movement of the car with the addition of the traction force of the car with the transferable forces of quantitative movement and this allows a more expedient approach to the consideration of the implementation of the torque on the wheel drive.\u0000The authors present the elements of the theory of quantitative motions kinematically dispersed in a wheel drive. When revealing the concept of \"dynamically developed suspension\", equations were used that mathematically confirm the connection with the quantitative movements kinematically distributed in the wheel drive in the controlled relative to the wheel disc movement of the car, which allows overcoming obstacles on the way and the supporting surface in certain conditions of the car’s operation.\u0000Keywords: physical-mathematical model, wheel force, obstacle, car.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115370454","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}

{"title":"КОНСТРУКЦІЙНЕ УДОСКОНАЛЕННЯ КОЛІСНОГО РУШІЯ ВІЙСЬКОВОГО АВТОМОБІЛЯ","authors":"Л. М. Петров, І. В. Кішянус","doi":"10.37129/2313-7509.2023.19.153-160","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.153-160","url":null,"abstract":"The movement of the car is carried out due to the loading of the wheel driver by forces: gravitational force and tangential force of traction, which sometimes leads to a delay in the movement of the rotation of the tire during its deformation, as well as to the incomplete realization of the power created by the engine and which is transmitted to the wheel driver. The article examines the questions and presents elements of the theory of a military vehicle with a structural improvement of the wheel drive of a military vehicle, as well as theorems on the change in kinetic energy of such a wheel drive.\u0000The technological diagram of the developed and improved design of the wheel drive allows the process of transferring the motion of the car to be carried out at the expense of the kinematically-related movable additional wheel, the transformation of the energy supplied to the wheel drive into the controlled relative to the center of its hub and with the addition of the traction force of the car with the transfer force, which is an auxiliary factor to the innovative technology of its movement.\u0000The scientific and practical direction of the work consists in the fact that for the first time the technology is considered in which the law of change of mechanical energy is applied during the rotation of the wheel drive on the road by using the wheel drive with an additional wheel kinematically connected to it. \u0000The research methodology was to establish a mathematical relationship between the speed of the cyclic movement of the additional wheel, which is associated with the center of the car wheel hub, and this allows to increase the dynamic mobility of the car directly.\u0000The result of the research is the development of elements of the theory of a military vehicle with a new design of a wheel drive with an additional wheel kinematically connected to it, which allows to increase the dynamic mobility of the vehicle directly. The value of the conducted research, the results of the conducted work will allow to make a contribution to the automotive industry.\u0000The proposed model of a car with a new design of a wheel drive with an additional wheel kinematically associated with it is suitable for use in order to effectively realize the power of the engine and convert it into traction force on the wheel.\u0000Keywords: physical-mathematical model, force, wheel drive with an additional wheel kinematically associated with it, wheel, gravitational and tangential force, moment of inertia, kinetic energy.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116151424","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}

{"title":"АНАЛІТИЧНІ ФУНКЦІЇ НЕЛІНІЙНИХ ПАРАМЕТРІВ ПОЛЬОТУ СНАРЯДА","authors":"В. Майданюк, С. Бондаренко, В. Грабчак","doi":"10.37129/2313-7509.2023.19.5-16","DOIUrl":"https://doi.org/10.37129/2313-7509.2023.19.5-16","url":null,"abstract":"When calculating projectile flight trajectories, an urgent issue is the definition and representation of aerodynamic forces (moments) and parameters of the atmosphere, which are significantly non-linear in nature, in the system of mathematical models - differential equations of spatial motion of projectiles. A significant component of the error in determining the aerodynamic force is introduced by the operation of numerical differentiation of tabular values of aerodynamic coefficients, which are included as components in systems of differential equations. In this direction, a scientific approach based on the approximation of the data of aerodynamic coefficients and parameters of the atmosphere by analytical functions is promising, the requirement for which is the possibility of obtaining a single and continuous function within the entire range of changes in the flight parameters of the projectile and ensuring their best approximation to tabular data. A unified approach to the possibility of approximating qualitatively different aerodynamic coefficients and parameters of the atmosphere found further development; as approximating functions, it is proposed to use an analytical function as the sum of a reference function (error function) and a set of basic functions (Gaussian functions), which allows to obtain a continuous-differentiated approximating function on the segment of the change of the projectile flight parameter, which can be represented by a single analytical expression. The obtained values of the single continuous-differentiated on the segment of the change of the projectile flight parameter approximating the function of the aerodynamic coefficients and the parameters of the atmosphere, which are given by a single analytical expression, can be used to solve the problems of calculating Firing tables and preparing data using ballistic integrating algorithms for firing artillery systems.\u0000Keywords: aerodynamic forces (moments), parameters of the atmosphere, projectile, approximation, differentiation, analytical expression, error function, Gaussian function.","PeriodicalId":421105,"journal":{"name":"Collection of scientific works of Odesa Military Academy","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133565071","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}