A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS
Introduction. The complexity of the theoretical description of the magnetic pulse treatment of the material is in the mutual coupled processes of electromagnetic and thermal fields with plastic deformation of the material and processes in an electrical circuit. The paper deals with the combined tran...
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| Дата: | 2015 |
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| Формат: | Стаття |
| Мова: | Russian |
| Опубліковано: |
National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
2015
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| Онлайн доступ: | http://eie.khpi.edu.ua/article/view/2074-272X.2015.2.08 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
Репозиторії
Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-42085 |
|---|---|
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ojs |
| institution |
Electrical Engineering & Electromechanics |
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OJS |
| language |
Russian |
| topic |
magnetic pulse treatment electromagnetic field mathematical model 621.3.04 621.316 магнитно-импульсная обработка электромагнитное поле математическая модель 621.3.04 621.316 магнітно-імпульсна обробка електромагнітне поле математична модель 621.3.04 621.316 |
| spellingShingle |
magnetic pulse treatment electromagnetic field mathematical model 621.3.04 621.316 магнитно-импульсная обработка электромагнитное поле математическая модель 621.3.04 621.316 магнітно-імпульсна обробка електромагнітне поле математична модель 621.3.04 621.316 Baida, E. I. A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| topic_facet |
magnetic pulse treatment electromagnetic field mathematical model 621.3.04 621.316 магнитно-импульсная обработка электромагнитное поле математическая модель 621.3.04 621.316 магнітно-імпульсна обробка електромагнітне поле математична модель 621.3.04 621.316 |
| format |
Article |
| author |
Baida, E. I. |
| author_facet |
Baida, E. I. |
| author_sort |
Baida, E. I. |
| title |
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| title_short |
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| title_full |
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| title_fullStr |
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| title_full_unstemmed |
A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS |
| title_sort |
refined mathematical model of multiphysics processes for magnetic pulse treatment of materials |
| title_alt |
УТОЧНЕННАЯ МАТЕМАТИЧЕСКАЯ МОДЕЛЬ МУЛЬТИФИЗИЧЕСКИХ ПРОЦЕССОВ МАГНИТНО-ИМПУЛЬСНОЙ ОБРАБОТКИ МАТЕРИАЛОВ УТОЧНЕННАЯ МАТЕМАТИЧЕСКАЯ МОДЕЛЬ МУЛЬТИФИЗИЧЕСКИХ ПРОЦЕССОВ МАГНИТНО-ИМПУЛЬСНОЙ ОБРАБОТКИ МАТЕРИАЛОВ |
| description |
Introduction. The complexity of the theoretical description of the magnetic pulse treatment of the material is in the mutual coupled processes of electromagnetic and thermal fields with plastic deformation of the material and processes in an electrical circuit. The paper deals with the combined transient mathematical model of the system of equations of the electromagnetic field, theory of elasticity, thermal conductivity and electrical circuit. Purpose. Research and testing of the developed mathematical model and assess the impact of various parameters on the process of deformation of the work piece. Methodology. Investigation of nonlinear mathematical model is carried out by the finite element method using a special software package. Results. The resulting solution of the transient mathematical model allows studying the influence of parameters of the circuit, the speed and the characteristics of the material to plastic deformation and heating of the work piece, which allows to select the optimum process parameters. Originality. This is an integrated approach to the development of a mathematical model, which includes the electromagnetic field equations, the theory of elasticity, thermal conductivity and electrical circuit equations with a storage capacitor. Conclusions. A comprehensive mathematical model and its solution are obtained. It is established a small effect of heating temperature on the amount of strain. Currents caused by movement of the work piece must be taken into account in the calculations. Inertial forces significantly affect the nature of the deformation. During the deformation it is necessary to consider the nonlinearity of elasticity modulus. Thermal deformation of the work piece is much less mechanical strain and opposite in sign to them, but the surface temperature stresses due to the high temperature gradient equal to 20 % of the yield strength of the work piece. |
| publisher |
National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” |
| publishDate |
2015 |
| url |
http://eie.khpi.edu.ua/article/view/2074-272X.2015.2.08 |
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2024-06-01T14:37:58Z |
| last_indexed |
2024-06-01T14:37:58Z |
| _version_ |
1800669944813191168 |
| spelling |
eiekhpieduua-article-420852016-03-09T07:43:40Z A REFINED MATHEMATICAL MODEL OF MULTIPHYSICS PROCESSES FOR MAGNETIC PULSE TREATMENT OF MATERIALS УТОЧНЕННАЯ МАТЕМАТИЧЕСКАЯ МОДЕЛЬ МУЛЬТИФИЗИЧЕСКИХ ПРОЦЕССОВ МАГНИТНО-ИМПУЛЬСНОЙ ОБРАБОТКИ МАТЕРИАЛОВ УТОЧНЕННАЯ МАТЕМАТИЧЕСКАЯ МОДЕЛЬ МУЛЬТИФИЗИЧЕСКИХ ПРОЦЕССОВ МАГНИТНО-ИМПУЛЬСНОЙ ОБРАБОТКИ МАТЕРИАЛОВ Baida, E. I. magnetic pulse treatment electromagnetic field mathematical model 621.3.04 621.316 магнитно-импульсная обработка электромагнитное поле математическая модель 621.3.04 621.316 магнітно-імпульсна обробка електромагнітне поле математична модель 621.3.04 621.316 Introduction. The complexity of the theoretical description of the magnetic pulse treatment of the material is in the mutual coupled processes of electromagnetic and thermal fields with plastic deformation of the material and processes in an electrical circuit. The paper deals with the combined transient mathematical model of the system of equations of the electromagnetic field, theory of elasticity, thermal conductivity and electrical circuit. Purpose. Research and testing of the developed mathematical model and assess the impact of various parameters on the process of deformation of the work piece. Methodology. Investigation of nonlinear mathematical model is carried out by the finite element method using a special software package. Results. The resulting solution of the transient mathematical model allows studying the influence of parameters of the circuit, the speed and the characteristics of the material to plastic deformation and heating of the work piece, which allows to select the optimum process parameters. Originality. This is an integrated approach to the development of a mathematical model, which includes the electromagnetic field equations, the theory of elasticity, thermal conductivity and electrical circuit equations with a storage capacitor. Conclusions. A comprehensive mathematical model and its solution are obtained. It is established a small effect of heating temperature on the amount of strain. Currents caused by movement of the work piece must be taken into account in the calculations. Inertial forces significantly affect the nature of the deformation. During the deformation it is necessary to consider the nonlinearity of elasticity modulus. Thermal deformation of the work piece is much less mechanical strain and opposite in sign to them, but the surface temperature stresses due to the high temperature gradient equal to 20 % of the yield strength of the work piece. В статье рассмотрена математическая модель мультифизического процесса магнитно-импульсной обработки материала, которая включает систему уравнений электромагнитного поля, теории упругости, теплопроводности и электрической цепи с емкостным накопителем энергии. Получено численное решение разработанной математической модели. Показано влияние: температуры нагрева детали на процесс; токов, возникающие за счет движения детали в магнитном поле. Приведены количественные и качественные характеристики процесса. У статті розглянута математична модель мультифізичного процесу магнітно-імпульсної обробки матеріалу, що включає систему рівнянь електромагнітного поля, теорії пружності, теплопровідності і електричного кола з ємнісним накопичувачем енергії. Отримано чисельне розв'язання розробленої математичної моделі. Показано вплив: температури нагріву деталі на процес; струмів, що виникають за рахунок руху деталі в магнітному полі. Наведено кількісні і якісні характеристики процесу. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2015-04-28 Article Article application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2015.2.08 10.20998/2074-272X.2015.2.08 Electrical Engineering & Electromechanics; No. 2 (2015); 41-47 Электротехника и Электромеханика; № 2 (2015); 41-47 Електротехніка і Електромеханіка; № 2 (2015); 41-47 2309-3404 2074-272X ru http://eie.khpi.edu.ua/article/view/2074-272X.2015.2.08/38515 Copyright (c) 2015 E. I. Baida https://creativecommons.org/licenses/by-nc/4.0 |