DETERMINATION OF CAVITY SHAPE AND SIZE IN HOMOGENEOUSLY MAGNETIZED MAGNETS WITHIN THE FRAMEWORK OF A TWO-DIMENSIONAL MODEL
- Авторлар: Dyakin V.V.1, Kudryashova O.V.1, Rayevskii V.Y.1
-
Мекемелер:
- M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
- Шығарылым: № 7 (2025)
- Беттер: 43-58
- Бөлім: Electromagnetic methods
- URL: https://ogarev-online.ru/0130-3082/article/view/294877
- DOI: https://doi.org/10.31857/S0130308225070059
- ID: 294877
Дәйексөз келтіру
Аннотация
For extended uniformly magnetized bodies, a practical implementation of a numerical algorithm for solving an integral-differential equation on a function that defines the localization, shape, and size of a cavity in such a magnet based on the measured resulting field outside of it has been investigated. A program in the FORTRAN language that implements the above algorithm has been compiled. As a test and illustrative example of the studied algorithm for a uniformly magnetized cylindrical magnet, the shape, dimensions, and position of a non-coaxial cylindrical cavity in the magnet have been reconstructed
Авторлар туралы
Vilyam Dyakin
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Email: ravskii@mail.ru
ORCID iD: 0000-0001-6063-2024
профессор, ведущий консультант, лаборатория теоретической физики
Ресей, 620108 Yekaterinburg, S. Kovalevskoy St., 18Olga Kudryashova
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: kudryashova_o.v@mail.ru
ORCID iD: 0000-0003-3487-0605
к.ф.-м.н., с.н.с., лаборатория теоретической физики
Ресей, 620108 Yekaterinburg, S. Kovalevskoy St., 18Veniamin Rayevskii
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Email: ravskii@mail.ru
ORCID iD: 0000-0003-1098-0834
с.н.с., с.н.с., лаборатория теоретической физики
Ресей, 620108 Yekaterinburg, S. Kovalevskoy St., 18Әдебиет тізімі
- Pechenkov A N., Shcherbinin V.E. Nekotorye pryamye i obratnye zadachi tekhnicheskoj magnitostatiki. Ekaterinburg: Izd-vo UrO RAN, 2004. 177 p.
- Pechenkov A.N., Shcherbinin V.E. O reshenii obratnoj zadachi magnitostaticheskoj tomografii // Defectoskopiya. 2009. No. 3. P. 37—55.
- Pechenkov A.N., Shcherbinin V.E. K voprosu o needinstvennosti resheniya obratnoj zadachi magnitostaticheskoj defektoskopii // Kontrol’. Diagnostika. 2006. No. 9. P. 59—60.
- Pechenkov A.N. O vliyanii formy tela na edinstvennost’ resheniya obratnoj zadachi magnitostaticheskoj defektoskopii // Defectoskopiya. 2006. No. 10. P. 24—26.
- Dyakin V.V. Pryamaya i obratnaya zadacha magnitostatiki // Defectoskopiya. 1996. No. 3. P. 3—6.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. K voprosu o korrektnosti pryamoj i obratnoj zadachi magnitostatiki. Chast’ 2 // Defectoskopiya. 2018. No. 10. P. 15—24.
- Reutov Yu.Ya., Gobov Yu.L., Loskutov V.E. O vozmozhnostyah ispol’zovaniya programmy ELCUT v raschetah po defektoskopii // Defectoskopiya. 2002. No. 6. P. 34—40.
- Zagidulin R.V, Dyakin V.V., Dudarev M.S., Shcherbinin V.E. K opredeleniyu geometricheskih razmerov poverhnostnogo defekta / Fizicheskie metody i pribory NK. Tezisy dokladov X Ural’skoj nauchnoj tekhnicheskoj konferencii. Izhevsk, 1989. P. 83.
- Novoslugina A.P., Smorodinskij Ya.G. Raschetnyj sposob ocenki parametrov defektov v stalyah // Defectoskopiya. 2017. No. 11. P. 13—19.
- Dyakin V.V., Raevskij V.Ya., Kudryashova O.V. Pole konechnogo defekta v plastine // Defectoskopiya. 2009. No. 3. P. 67—79.
- Krotov L.N. Rekonstrukciya granicy razdela sred po prostranstvennomu raspredeleniyu magnitnogo polya rasseyaniya. 1. Issledovanie svojstv resheniya vspomogatel’noj pryamoj zadachi // Defectoskopiya. 2004. No. 2. P. 76—82.
- Krotov L.N. Rekonstrukciya granicy razdela sred po prostranstvennomu raspredeleniyu magnitnogo polya rasseyaniya. 2. Postanovka i metod resheniya obratnoj geometricheskoj zadachi magnitostatiki // Defectoskopiya. 2004. No. 6. P. 76—82.
- Slesarev D.A., Barat V.A., Chobanu P.M. Snizhenie pogreshnosti statisticheskogo metoda ocenki parametrov defektov v magnitnoj defektoskopii // Defectoskopiya. 2012. No. 1. P. 69—74.
- Gobov Yu.L., Nikitin A.V., Popov S.E. Reshenie obratnoj geometricheskoj zadachi magnitostatiki dlya defektov korrozii // Defectoskopiya. 2018. No. 10. P. 51—57.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Obratnaya zadacha magnitostatiki v polyah nasyshcheniya // Defectoskopiya. 2019. No. 10. P. 35—44.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Obratnaya zadacha magnitostatiki dlya odnorodno namagnichennyh tel v ramkah dvumernoj modeli // Defectoskopiya. 2025. No. 2. P. 39—52.
- Samohin A.B. Ob”emnye singulyarnye integral’nye uravneniya elektrodinamiki. M.: Tekhnosfera, 2021. 217 p.
- Hizhnyak N.A. Integral’nye uravneniya makroskopicheskoj elektrodinamiki. Kiev: Naukova dumka, 1986. 279 s.
- Friedman M.J. Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. 1 // SIAM J. Appl. Math. 1980. V. 39. No. 1. P. 14—20.
- Friedman M.J. Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. 2 // SIAM J. Numer. Anal. 1981. V. 18. No. 4. P. 644—653.
- Friedman M.J. Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. 3 // SIAM J. Math. Analys. 1981. V. 12. No. 4. P. 536—540.
- Dyakin V.V. Matematicheskie osnovy klassicheskoj magnitostatiki. Ekaterinburg: RIO UrO RAN, 2016. 403 p.
- Raevskij V.Ya. O svojstvah kvaziermitovyh operatorov i ih primenenii k issledovaniyu operatorov teorii potenciala i osnovnogo uravneniya elektro- i magnitostatiki / Preprint № 24/48(01). Ekaterinburg: IFM UrO RAN, 2001.
- Raevskij V.Ya. Nekotorye svojstva operatorov teorii potenciala i ih primenenie k issledovaniyu osnovnogo uravneniya elektro- i magnitostatiki // Teoreticheskaya i matematicheskaya fizika. 1994. V. 3. No. 100. P. 323—331.
- Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integraly i ryady. T. 1. M.: Fizmatlit, 2003. 632 p.
- Panteleev A.V., Letova T.A. Metody optimizacii v primerah i zadachah. M.: Vyssh. shk., 2002. 544 p.
Қосымша файлдар
