Method for solving plane unsteady contact problems for rigid stamp and elastic half-space with a cavity of arbitrary geometry and location

Li, Yu Long; Arutiunian, Aron M.; Кузнецова, Е. Л.; Fedotenkov, G. V.

doi:10.13111/2066-8201.2020.12.s.9

Cited by 26 publications

(1 citation statement)

References 15 publications

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“…Одними з перспективних напрямків розробки ефективних алгоритмів для задач цього класу є підходи, засновані на застосуванні методу граничних інтегральних рівнянь [6,7]. Усучаснені варіанти розв'язання задач взаємодії жорсткого штампа та пружного півпростору з порожнинами [8] залишаються актуальними. Роботи [9,10], в свою чергу, зосереджені на огляді моделей взаємодії жорстких штампів канонічної форми з пружнім півпростором при відсутності початкових напружень.…”

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Modern Approaches to Solving the Contact Problem of Pressing a Doublestamp Stamp Into an Elastic Half-Space

Zaytseva¹,

Shmelov²

2021

SACIT

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The work is devoted to solving indentation problems into an elastic half-space of a cylindrical punch with a flat base by the vertical force. The force is aimed through the center of the base. The cross-section of the stamp is a doubly connected area bounded by two concentric lines. A concise review of methods for solving problems of analyzing the contact interaction of cylindrical dies with an elastic half-space is given. The solution of the problem in the form of decomposition by a small parameter is used when the equation of the edge curves depends on the same small parameter. To achieve it, in each approximation, the problem of indentation of a stamp with a doubly connected contact area in the form of a non-circular ring is reduced to a similar problem of indentation of a stamp with a contact area in the form of a circular ring. The software in the Java language has been developed for processing the analytical solution according to the obtained calculation formulas. With the help of the ANSYS software package, a finite element model of the contact interaction of an absolutely rigid stamp with an elastic half-space has been created. Numerical modeling was carried out using a licensed version of the program, free of charge. Several problems have been solved for square rings of different widths. The distribution of pressure under the stamp over different sections and the deepening of the stamp have been obtained. The pressure distribution graphs are plotted. When considering several test problems to assess the adequacy of the finite element model, the numerical results are compared with the results obtained analytically. The resulting model can analyze and predict loads, wear, and fracture of the contact area. The research prospects can include the solution of several problems of analysis of the stress-strain state of the interaction of dies of a complex shape with an elastic half-space, as well as groups of stamps of a complex shape, and the analysis of behavior models depending on the properties and characteristics of an elastic half-space. Keywords: contact problem, stamp, stress-strain state, modeling, JAVA language, finite element analysis, ANSYS software package.

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Modern Approaches to Solving the Contact Problem of Pressing a Doublestamp Stamp Into an Elastic Half-Space

Zaytseva¹,

Shmelov²

2021

SACIT

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A mathematical model for describing the operation of airborne gun-laying radars in conditions of active counteraction to enemy interference and military-economic assessment of the feasibility of its implementation

et al. 2021

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The combat capabilities of modern means of warfare in the air largely depend on the reliable operation of on-board electronic means (OEM) and weapon control systems of fighter aircraft. Therefore, in the course of military operations, each of the warring parties seeks to disorganise the operation of the enemy's radio-electronic systems and weapon controls as much as possible and ensure the stable operation of their own OEM by all means. This task is assigned to the means of electronic warfare (EW). During air combat, this task is assigned to the aircraft jamming station, whose place and role in modern air combat is constantly growing. The efficiency of the operation of this system is directly related to the aircraft survivability during a combat mission. This study considers the developed approach to the output of initial data on modelling the operation of airborne radars in conditions of interference and simultaneous active counteraction to enemy interference stations. The authors in this study have suggested a mathematical description of the air combat situation, which occurs when using methods of active countermeasures to enemy airborne interference systems by changing the parameters of the operation of the airborne gun-laying radar (AGLR). Indicators and criteria that characterise the effectiveness of the operation of airborne radars, depending on the method of counteraction used, were proposed, including a sequence of possible applications of the known four methods of counteraction, taking into account the features of their application.

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Methodology for substantiating the choice of the optimal aerial and ground reconnaissance-strike complexes according to the integral criterion “efficiency-cost-time”

et al. 2021

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In the modern realities of the development of the Armed Forces of Ukraine, the current issue is the search for ways to create new aerial and ground integrated reconnaissance-strike complexes that are capable of quick reconnaissance and attack of an enemy. However, a reasonable choice of such a system should not create an excessive burden for the state economy in terms of its development, maintenance, and application, and must also have the prospect of timely bringing it to combat readiness. Therefore, this study considers a methodology for substantiating the choice of an optimal option of the reconnaissance-strike complex or system for its use in operations when developing programmes and development plans of the AF of Ukraine. The proposed methodology has an integral criterion for choosing a rational option of a reconnaissance-strike complex, which combines indicators for assessing the efficiency of the combat use of these systems under various conditions, the sufficiency of the state economic capabilities for its creation, maintenance, and use, and assessing the timeliness of its creation and bringing it to combat readiness. The method is based on a mathematical model of game theory. The decision to choose a particular option of the reconnaissance-strike complex occurs in conditions of uncertainty of the combat situation and the volume of tasks that would rely on these systems when performing combat tasks.

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Method for solving plane unsteady contact problems for rigid stamp and elastic half-space with a cavity of arbitrary geometry and location

Cited by 26 publications

References 15 publications

Modern Approaches to Solving the Contact Problem of Pressing a Doublestamp Stamp Into an Elastic Half-Space

Modern Approaches to Solving the Contact Problem of Pressing a Doublestamp Stamp Into an Elastic Half-Space

A mathematical model for describing the operation of airborne gun-laying radars in conditions of active counteraction to enemy interference and military-economic assessment of the feasibility of its implementation

Methodology for substantiating the choice of the optimal aerial and ground reconnaissance-strike complexes according to the integral criterion “efficiency-cost-time”

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