Кафедра "Теоретична механіка та опір матеріалів"

Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/1121

Офіційний сайт кафедри http://web.kpi.kharkov.ua/teormeh

Кафедра "Теоретична механіка та опір матеріалів" була утворена у грудні 2021 року шляхом об’єднання кафедр "Теоретична механіка" та "Механіка суцільних середовищ та опір матеріалів" (НАКАЗ № 552 ОД від 26.11.2021 року).

Кафедра "Теоретична механіка" була створена ще у 1925 році в Харківському технологічному інституті, а її першим завідувачем став професор Іван Бабаков, відомий вчений у галузі теорії коливань. Теоретичну механіку в Харківському практичному технологічному інституті (нині Національний технічний університет "Харківський політехнічний інститут") викладали ще з 1887 року всесвітньо відомі вчені академік Ляпунов Олександр Михайлович (1887-1893) і академік Стеклов Володимир Андрійович (1893-1903). Кафедра «Опір матеріалів» – первісна назва кафедри "Механіка суцільних середовищ та опір матеріалів", пройшла еволюцію досліджень від експериментальної та будівельної до обчислювальної та комп’ютерної механіки.

Новостворена кафедра входить до складу Навчально-наукового інституту комп'ютерного моделювання, прикладної фізики та математики Національного технічного університету "Харківський політехнічний інститут".

У складі науково-педагогічного колективу кафедри працюють: 2 доктора технічних наук, 8 кандидатів технічних наук; 1 співробітник має звання професора, 8 – доцента.

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Computer and computational analisys of the biomechanics of swimming
(Громадська наукова організація "Всеукраїнська асамблея докторів наук з державного управління", 2023) Lavinsky, D. V.; Adashevsky, V. M.; Druzhynin, Ye. I.
The article deals with the issues of computer and computational modeling and analysis of the biomechanics of one of the most technically complex sports - swimming. Computer and computational modeling is currently an impotent part of various scientific researches. Such modeling in many cases allows either to replace full-scale experiments or to determine their rational parameters, thereby accelerating research. Computational modeling and simulation is widely used in the study of movement in various sports, which belongs to a wide class of biomechanical problems. Here, the use of computer calculations makes it possible to determine the rational parameters of an athlete's sports actions, which lead to higher sports results. It should be noted that the accuracy and reliability of computational modeling in the biomechanics of sports depend on the degree of approximation of computational schemes and models to reality. The creation of design schemes and models is impossible without the use of the results of field measurements. Based on the analysis of existing sources of information, an approach was formulated to create design schemes for studying the movement of an athleteswimmer along the distance. The systems of differential equations of motion for different stages of the distance are presented. For computer modeling, the KiDyM software package is applied, which uses the relations of the computer algebra system to construct differential equations of complex mechanical systems motion. The analysis of the presented and similar graphical information allows determining the rational values of certain parameters of the athlete-swimmer's sports actions, which allow achieving high sports results. This information allows us to adjust the technique of a particular athlete, taking into account the characteristics of his anatomy and physiology. Similar computational studies based on computer simulations can be performed for other technically complex sports.
Features of deforming of composite inductors during electromagnetic processing of materials
(Одеський національний морський університет, 2023) Lavinsky, D. V.; Anischenko, G. O.; Konokhov, V. I.
The article proposes an effective method of analyzing the elastic-plastic deformation of composite structures under the influence of an electromagnetic field. The general mathematical formulation of the coupled problem of the deformation of conductive bodies in the presence of an electromagnetic field is considered. To construct a numerical solution method, the initial problem is reduced to finding the minimum of the total energy of the system. The finite element method is used as a numerical solution method. The proposed method is applied to the analysis of the deformation of the "inductor-workpiece" system of the technological operation of magnetic pulse processing of metals. Conclusions. Some results are presented that allow making certain recommendations regarding the design and application of technological operations of a similar class.
Computational analysis method of the electromagnetic field propagation and deformation of conductive bodies
(Національний технічний університет "Харківський політехнічний інститут", 2023) Lavinsky, D. V.; Zaitsev, Yu. I.
The electromagnetic field is an integral attribute of the operation of many technical and technological systems. The action of an electromagnetic field leads to deformation, a change in temperature, a change in the physical properties of the materials. Problem. High-intensity electromagnetic fields can cause such a strong deformation of conductive bodies that it can lead to irreversible shape change or destruction. This fact is used in a class of technological operations: electromagnetic forming. Here, both the workpiece and the equipment are subjected to intense force action. As a result, equipment elements may become inoperable. Goal. Creation of a computational analysis method of the electromagnetic field propagation in systems of conductive bodies and subsequent analysis of deformation. Application of this method to the study of processes in electromagnetic forming systems in order to determine rational operational parameters that provide the result of a technological operation. Methodology. A variational formulation of the problems of an electromagnetic field propagation and deformation of conductive bodies systems is used. Numerical modeling and analysis are performed using the finite element method. Results. In a general form, a system of resolving equations for the values of the vector magnetic potential and displacements is obtained. The influence of the electromagnetic field is taken into account by introducing electromagnetic forces. The results of calculations for a technological system designed for electromagnetic forming of curved thinwalled workpieces are presented. Originality. For the first time, a method of computational analysis is presented, which involves modeling within the framework of one design scheme both the process of electromagnetic field propagation and the process of deformation. Practical significance. The proposed method of computational analysis can be used for various technological systems of electromagnetic forming in order to determine the rational parameters that ensure both the operability of the equipment and the purpose of the technological operation - the necessary shaping of the workpiece.
Kinematics. Part 1. Analysis of particle motion
(2023) Anischenko, G. O.; Lavinsky, D. V.
The book is devoted to the basics of theoretical mechanics in the section «Kinematics of a particle». Basic theoretical aspects, examples of solving common problems, as well as options for self-study work are presented. The book is intended for bachelor students studying in the specialties 131 «Applied mechanics» and 133 «Industrial Engineering».
Non-stationary phenomena in technological systems of electromagnetic processing of materials
(Національний технічний університет "Харківський політехнічний інститут", 2022) Anischenko, Galyna Ottivna; Lavinsky, D. V.
A large number of technical and technological facilities work under the action of electromagnetic fields. In electroconductive bodies have significant largest electromagnetic forces that can cause movement or deformation of structural elements. The creation of effective methods of analysis of the distribution of the electromagnetic field and coupled nonstationary deformation of structural elements is topical at present time. The article contains a mathematical formulation of the problem of nonstationary deformation of structural elements under the action of electromagnetic fields. Coupling of electromagnetic field and mechanical field is carried out with the help of local electromagnetic forces. Further made the transition to a variational formulation on the basis of the task of finding the minimum of the total energy of the system, which includes the energy of the electromagnetic field. For the numerical solution the finite element method is used. Nodal unknowns in this case are the magnetic vector potential and displacements. The proposed method is applied to non-stationary deformation of the "inductor-billet" technological operation of magnetic-pulse processing of metals. Some results of the deformation are presented.