Thermally stressed state of the layer under the influence of currents periodic with respect to the longitudinal coordinate
| dc.citation.epage | 403 | |
| dc.citation.issue | 2 | |
| dc.citation.journalTitle | Математичне моделювання та обчислення | |
| dc.citation.spage | 394 | |
| dc.citation.volume | 11 | |
| dc.contributor.affiliation | Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України | |
| dc.contributor.affiliation | Політехніка Опольська | |
| dc.contributor.affiliation | Львівський національний університет імені Івана Франка | |
| dc.contributor.affiliation | Національний університет “Львівська політехніка” | |
| dc.contributor.affiliation | Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine | |
| dc.contributor.affiliation | Opole University of Technology | |
| dc.contributor.affiliation | Ivan Franko National University of Lviv | |
| dc.contributor.affiliation | Lviv Polytechnic National University | |
| dc.contributor.author | Гачкевич, О. Р. | |
| dc.contributor.author | Івасько, Р. О. | |
| dc.contributor.author | Івасько, Н. М. | |
| dc.contributor.author | Торський, А. Р. | |
| dc.contributor.author | Hachkevych, O. R. | |
| dc.contributor.author | Ivas’ko, R. O. | |
| dc.contributor.author | Ivas’ko, N. M. | |
| dc.contributor.author | Torskyy, A. R. | |
| dc.coverage.placename | Львів | |
| dc.coverage.placename | Lviv | |
| dc.date.accessioned | 2025-10-20T08:10:31Z | |
| dc.date.created | 2024-02-27 | |
| dc.date.issued | 2024-02-27 | |
| dc.description.abstract | Для оцінки впливу важливого технологічного чинника нерівномірності розподілу зовнішнього електричного струму на параметри низькотемпературного нагрівання пласких феритових елементів з урахуванням напруженого стану (міцнісних характеристик) розглянуто модельну задачу про визначення та дослідження термомеханічної поведінки феритового шару за дії квазіусталеного електромагнітного поля, створюваного струмом, що протікає в струмовідній площині, густина якого має синусоїдальний характер зміни за поздовжньою координатою. Відповідно до результатів, отриманих раніше для залежності процесу нагрівання від частоти зовнішньої електромагнітної дії, прийнято, що кругова несуча частота електромагнітного поля лежить позаоколами резонансних (коли термонапружений стан має практично квазістатичний характер). При цьому розрахункова схема складається з трьох етапів послідовного визначення параметрів, які описують електромагнітне, температурне та механічні поля. | |
| dc.description.abstract | To evaluate the impact of the important non-uniformity technological factor of the external electric current distribution on the low-temperature heating parameters of flat ferrite elements, taking into account the stressed state (strength characteristics), a model problem is considered to determine and study the thermomechanical behavior of the ferrite layer under the influence of a quasi-steady electromagnetic field created by the current flowing in the current-carrying plane, the density of which changes sinusoidally along the longitudinal coordinate. In accordance with the earlier results regarding the dependence of the heating process on the frequency of external electromagnetic influence, it is accepted that the circular carrier frequency of the electromagnetic field is outside the vicinity of the resonant ones (when the thermally stressed state has an almost quasi-static character). In this case, the calculation scheme consists of three stages for sequentially determining the parameters that describe the electromagnetic, temperature, and mechanical fields. | |
| dc.format.extent | 394-403 | |
| dc.format.pages | 10 | |
| dc.identifier.citation | Thermally stressed state of the layer under the influence of currents periodic with respect to the longitudinal coordinate / O. R. Hachkevych, R. O. Ivas’ko, N. M. Ivas’ko, A. R. Torskyy // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 11. — No 2. — P. 394–403. | |
| dc.identifier.citationen | Thermally stressed state of the layer under the influence of currents periodic with respect to the longitudinal coordinate / O. R. Hachkevych, R. O. Ivas’ko, N. M. Ivas’ko, A. R. Torskyy // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2024. — Vol 11. — No 2. — P. 394–403. | |
| dc.identifier.doi | doi.org/10.23939/mmc2024.02.394 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/113823 | |
| dc.language.iso | en | |
| dc.publisher | Видавництво Львівської політехніки | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Математичне моделювання та обчислення, 2 (11), 2024 | |
| dc.relation.ispartof | Mathematical Modeling and Computing, 2 (11), 2024 | |
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| dc.relation.referencesen | [2] Rudnev V., Loveless D., Cook R. L. Handbook of Induction Heating. CRC Press (2017). | |
| dc.relation.referencesen | [3] Rapoport E., Pleshivtseva Y. Optimal Control of Induction Heating Processes. CRC Press (2006). | |
| dc.relation.referencesen | [4] Hachkevych O. R., Ivas’ko R. O. Thermomechanics of ferrite solids in a quasi-steady electromagnetic field. Mat. Met. Fiz.-Mekh. Polya. 43, 161 (2000), (in Ukrainian). | |
| dc.relation.referencesen | [5] Hachkevych O. R., Ivas’ko R. O. Thermoelastic state of a ferritic layer in a quasistationary electromagnetic field. Materials Science. 41, 376 (2005). | |
| dc.relation.referencesen | [6] Hachkevych O. R., Ivas’ko R. O., Kasperski Z. Methodology for studying temperature fields and stresses in ferrite solids exposed to low electromagnetic fields of high frequency. Visn. Donets. un-tu. Ser. A. Pryrodnychi nauky. 1, 91 (2006). | |
| dc.relation.referencesen | [7] Hachkevych O. R., Ivas’ko R. O., Solodyak M. T., Szymura S. Methodology for predicting the thermomechanical behaviour of ferrite elements in electromagnetic devices while ensuring their functional properties. Tieor. i prikl. miekhanika. 43, 28 (2007). | |
| dc.relation.referencesen | [8] Hachkevych O., Ivas’ko R., Solodyak M., Szymura S. Modelling the thermally stressed state of ferrite solids exposed to low electromagnetic fields of high frequency. Mechanical Engineering. 5, 9 (2009), (in Ukrainian). | |
| dc.relation.referencesen | [9] Hachkevych O., Ivas’ko R., Stanik-Besler A. Selected Mathematical Problems of Thermomechanics of Ferrite Solids. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine (2022). | |
| dc.relation.referencesen | [10] Bronsztejn I. N., Siemiendiajew K. A., Musiol G., Muhlig H. Modern Compendium of Mathematics. PWN (2022), (in Polish). | |
| dc.relation.referencesen | [11] Korn G. A., Korn T. M. Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. Courier Corporation (2013). | |
| dc.relation.referencesen | [12] Hachkevych O. R. Thermomechanics of Electrically Conducting Solids Exposed to Quasi-Steady Electromagnetic Fields. Naukova dumka (1992). | |
| dc.relation.referencesen | [13] Hachkevych O., Kasperski Z. Mathematical Models and Methods in Boundary Problems of Thermomechanics of Conducting Solids. OWPO (1999), (in Polish). | |
| dc.relation.referencesen | [14] Materials in Instrumentation and Automation: Reference Book. Ed. by Yu. M. Piatin. Mashynostroieniie (1982). | |
| dc.relation.referencesen | [15] Sidorov I. N., Khristinin A. A., Skorniakov S. V. Small-Sized Magnetic Circuits and Cores. Reference Book. Radio i sviaz’ (1989). | |
| dc.relation.referencesen | [16] Tables of Physical Quantities: Reference Book. Ed. by I. K. Kikoin. Atomizdat (1976). | |
| dc.relation.referencesen | [17] Ferrites and magnetodielectrics: Reference Book. Ed. by N. D. Gorbunov, G. A. Matvieiev. Sov. radio (1968). | |
| dc.relation.referencesen | [18] Von Hippel Arthur R. Dielectrics and Waves. Artech House (1995). | |
| dc.relation.referencesen | [19] Kuz’michov V. Ye. Laws and formulas of physics. Reference Book. Naukova dumka (1989). | |
| dc.relation.referencesen | [20] Pchel’nikov Yu. N., Sviridov V. T. Microwave Electronics. Radio i sviaz’ (1981). | |
| dc.rights.holder | © Національний університет “Львівська політехніка”, 2024 | |
| dc.subject | термонапружений стан | |
| dc.subject | феритове тіло | |
| dc.subject | квазіусталене електромагнітне поле | |
| dc.subject | метод комплексних амплітуд | |
| dc.subject | тепловиділення | |
| dc.subject | пондеромоторна сила | |
| dc.subject | thermally stressed state | |
| dc.subject | ferrite solid | |
| dc.subject | quasi-steady electromagnetic field | |
| dc.subject | complex amplitude method | |
| dc.subject | heat generation | |
| dc.subject | ponderomotive force | |
| dc.title | Thermally stressed state of the layer under the influence of currents periodic with respect to the longitudinal coordinate | |
| dc.title.alternative | Термонапружений стан шару за дії струмів, періодичних відносно поздовжної координати | |
| dc.type | Article |
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