Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter
Introduction. This work was initiated by the problems of cardiovascular diseases, which are one of the main causes of mortality of the population of our planet. More than ten years ago, in 2012, approximately 3.7 million people died of acute coronary syndrome worldwide. The fight against such pathol...
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National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine”
2024
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Electrical Engineering & Electromechanics| id |
eiekhpieduua-article-313060 |
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Electrical Engineering & Electromechanics |
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2024-10-18T19:06:00Z |
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English |
| topic |
pulsed electromagnetic fields cylindrical conductors of small diameter solution of a boundary value problem Laplace transforms |
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pulsed electromagnetic fields cylindrical conductors of small diameter solution of a boundary value problem Laplace transforms Batygin, Yu. V. Gavrilova, T. V. Shinderuk, S. O. Chaplygin, E. O. Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| topic_facet |
pulsed electromagnetic fields cylindrical conductors of small diameter solution of a boundary value problem Laplace transforms імпульсні електромагнітні поля циліндричні провідники малого діаметра розв’язання крайової задачі перетворення Лапласа |
| format |
Article |
| author |
Batygin, Yu. V. Gavrilova, T. V. Shinderuk, S. O. Chaplygin, E. O. |
| author_facet |
Batygin, Yu. V. Gavrilova, T. V. Shinderuk, S. O. Chaplygin, E. O. |
| author_sort |
Batygin, Yu. V. |
| title |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_short |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_full |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_fullStr |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_full_unstemmed |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_sort |
analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| title_alt |
Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter |
| description |
Introduction. This work was initiated by the problems of cardiovascular diseases, which are one of the main causes of mortality of the population of our planet. More than ten years ago, in 2012, approximately 3.7 million people died of acute coronary syndrome worldwide. The fight against such pathologies is carried out with the help of so-called stents, the manufacture of which can be carried out by the method of magnetic pulse «expansion» from hollow metal cylinders. The limited production possibilities of magnetic pulse «expansion» were caused by the minimum cross-sectional size of the inductor-instrument, which can be practically manufactured. Other tools are required to perform this operation. Novelty. A system of magnetic-pulse expansion of thin-walled pipes of small diameter with an inductor that excites an azimuthal electromagnetic field in the case of direct current passing through the processing object and in the absence of its connection in an electric circuit with an inductor is proposed. Purpose. The main analytical dependencies for the characteristics of the electromagnetic processes taking place in the inductor systems for the expansion of cylindrical conductive pipes of small diameter when direct passage of current through the processed object and when it is not connected to an electric circuit with an inductor (insulated billet) is derived. Methods. The solution of the boundary value problem with given boundary conditions was carried out by applying Laplace transforms and integrating Maxwell’s equations. Results. Analytical expressions were obtained for the main characteristics of the processes: the intensities of the excited electromagnetic fields and currents in the system depending on the parameters of the studied systems. The analysis of possible technical schemes for solving the given problem indicated the choice of the optimal variant of an effective system of magnetic-pulse «stretching» of thin-walled cylindrical conductors of small diameter. Practical value. Based on the qualitative analysis of the obtained results, recommendations for the practical implementation of the proposed system were formulated. The obtained dependences allow us to give numerical estimates of the effectiveness of excitation of magnetic pressure forces on the object of processing and to choose directions for further improvement of the magnetic pulse technology for solving such problems. References 23, figures 2. |
| 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 |
2024 |
| url |
http://eie.khpi.edu.ua/article/view/313060 |
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eiekhpieduua-article-3130602024-10-18T19:06:00Z Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter Analytical relations for fields and currents in magnetic-pulsed «expansion» of tubular conductors of small diameter Batygin, Yu. V. Gavrilova, T. V. Shinderuk, S. O. Chaplygin, E. O. pulsed electromagnetic fields cylindrical conductors of small diameter solution of a boundary value problem Laplace transforms імпульсні електромагнітні поля циліндричні провідники малого діаметра розв’язання крайової задачі перетворення Лапласа Introduction. This work was initiated by the problems of cardiovascular diseases, which are one of the main causes of mortality of the population of our planet. More than ten years ago, in 2012, approximately 3.7 million people died of acute coronary syndrome worldwide. The fight against such pathologies is carried out with the help of so-called stents, the manufacture of which can be carried out by the method of magnetic pulse «expansion» from hollow metal cylinders. The limited production possibilities of magnetic pulse «expansion» were caused by the minimum cross-sectional size of the inductor-instrument, which can be practically manufactured. Other tools are required to perform this operation. Novelty. A system of magnetic-pulse expansion of thin-walled pipes of small diameter with an inductor that excites an azimuthal electromagnetic field in the case of direct current passing through the processing object and in the absence of its connection in an electric circuit with an inductor is proposed. Purpose. The main analytical dependencies for the characteristics of the electromagnetic processes taking place in the inductor systems for the expansion of cylindrical conductive pipes of small diameter when direct passage of current through the processed object and when it is not connected to an electric circuit with an inductor (insulated billet) is derived. Methods. The solution of the boundary value problem with given boundary conditions was carried out by applying Laplace transforms and integrating Maxwell’s equations. Results. Analytical expressions were obtained for the main characteristics of the processes: the intensities of the excited electromagnetic fields and currents in the system depending on the parameters of the studied systems. The analysis of possible technical schemes for solving the given problem indicated the choice of the optimal variant of an effective system of magnetic-pulse «stretching» of thin-walled cylindrical conductors of small diameter. Practical value. Based on the qualitative analysis of the obtained results, recommendations for the practical implementation of the proposed system were formulated. The obtained dependences allow us to give numerical estimates of the effectiveness of excitation of magnetic pressure forces on the object of processing and to choose directions for further improvement of the magnetic pulse technology for solving such problems. References 23, figures 2. Вступ. Ця робота була започаткована проблемами серцево-судинних захворювань, які є однією з основних причин смертності населення нашої планети. Вже більш десяти років тому, в 2012 році, від гострого коронарного синдрому в усьому світі померло приблизно 3,7 мільйона людей. Боротьба з такими патологіями ведеться за допомогою так званих стентів, виготовлення яких може здійснюватися методом магнітно-імпульсного «роздачі» порожнистих металевих циліндрів. Обмежені виробничі можливості магнітно-імпульсної «роздачі» обумовлювалися мінімальним поперечним розміром індуктора-інструмента, який практично можна виготовити. Для виконання цієї операції потрібні інші інструменти. Новизна. Запропоновано систему магнітно-імпульсного розширення тонкостінних труб малого діаметра з індуктором, який збуджує азимутальне електромагнітне поле, при прямому пропусканні струму через об’єкт обробки та при відсутності його підключення у електричне коло з індуктором. Мета. Одержано аналітичні вирази для основних характеристик процесів: напруженостей збуджуваних електромагнітних полів і струмів у системі в залежності від параметрів досліджуваних систем. Методи. Розв’язання крайової задачі із заданими граничними умовами проводилось при застосуванні перетворень Лапласа та інтегрування рівнянь Максвела. Результати. Отримано аналітичні вирази для основних характеристик процесів, що протікають: напруженості збуджуваних електромагнітних полів і струмів у системі. Аналіз можливих технічних схем вирішення поставленої задачі вказав на вибір оптимального варіанту ефективної системи магнітно-імпульсного «роздачі» тонкостінних циліндричних провідників малого діаметра. Практична цінність. На основі якісного аналізу отриманих результатів сформульовано рекомендації щодо практичного впровадження запропонованої системи. Отримані залежності дозволяють дати чисельні оцінки ефективності збудження сил магнітного тиску на об’єкт обробки та вибрати напрямки подальшого вдосконалення магнітно-імпульсної технології для вирішення таких задач. Бібл. 23, рис. 2. National Technical University "Kharkiv Polytechnic Institute" and State Institution “Institute of Technical Problems of Magnetism of the National Academy of Sciences of Ukraine” 2024-10-18 Article Article Peer-reviewed Article application/pdf http://eie.khpi.edu.ua/article/view/313060 10.20998/2074-272X.2024.6.09 Electrical Engineering & Electromechanics; No. 6 (2024); 67-71 Электротехника и Электромеханика; № 6 (2024); 67-71 Електротехніка і Електромеханіка; № 6 (2024); 67-71 2309-3404 2074-272X en http://eie.khpi.edu.ua/article/view/313060/304110 Copyright (c) 2024 Yu. V. Batygin, T. V. Gavrilova, S. O. Shinderuk, E. O. Chaplygin http://creativecommons.org/licenses/by-nc/4.0 |