Математическое моделирование магнитоупругих колебаний токонесущего микроэлемента магнитом поле

  • № 1 (1) 2022

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71

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79

Язык: русский

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Аннотация

В работе математически моделировано магнитоупругих колебаний токонесущего микроэлемента находящейся под воздействием переменной по времени механической силы и переменного по времени внешнего стороннего электрического тока с учетом электромагнитной анизотропии.Получены численные результаты и проведены анализ электромагнитных эффектов напряженно-деформированного состояния электропроводящей оболочки. Исследовано влияние стороннего электрического тока на напряженное состояние гибкого токонесущего микроэлемента типа оболочек с учетом электромагнитной анизотропии.

Maqolada elektromagnit anizotropiyani hisobga olgan holda vaqt boʻyicha oʻzgaruvchan mexanik kuchlar va tashqi begona elektromagnit toki ta’sirlarida boʻlgan tok oʻtkazuvchi mikroelementning magnitoelastik tebranishi matematik modellashtirilgan. Sonli natijalar olingan va elektr oʻtkazuvchi qobiq kuchlanganlik deformatsiyalangan holati va elektromagnit effektlar tahlili oʻtkazilgan. Tashqi begona tokning yupqa qobiq shaklidagi mikroelementning kuchlanganlik holatiga ta’siri tadqiq qilingan.

The work mathematically simulates the magnetoelastic oscillations of a current-carrying microelement under the influence of a time-varying mechanical force and a time-varying external external electric current, taking into account electromagnetic anisotropy. Numerical results are obtained and an analysis of the electromagnetic effects of the stress-strain state of an electrically conductive shells is carried out. The influence of an external electric current on the stressed state of a flexible current-carrying microelement of the shell types is studied taking into account the electromagnetic anisotropy.

Список использованных источников

  1. A. Ambartsumyan, G.E.Bagdasaryan, and M.V.Belubekyan, Magnetoelasticity of Thin Shells and Plates [in Russian], Nauka, Moscow (1977).
  2. Y. M. Grigorenko and L. V.Mol‘chenko, Fundamentals of the Theory of Plates and Shells with Elements of Magnetoelasticity (Textbook) (IPTs, 2010).
  3. L. V. Mol‘chenko, I. I. Loos, and R.S. Indiaminov, “Determining the stress state of flexible orthotropic shells of revolution in magnetic field,” Int. Appl. Mech 44, 882–891(2008).). https://doi.org/10. 1007/s10778-008-0102-6
  4. L. V. Mol‘chenko, I. I. Loos, and R.S. Indiaminov, “Stress–strain state of flexible ring plates of variable stiffness in a magnetic field,” Int. Appl. Mech. 45, 1236–1242(2009). https://doi.org/10.1007/ s10778-010-0264-x
  5. R. Indiaminov, “On the absence of the tangential projection of the lorenz force on the axsymmetrical stressed state of current-carrying conic shells,” Int. Jour.Comp.Techn. 13, 65–77 (2008).
  6. L. V. Mol‘chenko and I. I. Loos,“The stress state of a flexible orthotropic spherical shell subject to external current and mechanical force in a magnetic field,” Int.Appl. Mech. 49, 528–533 (2013). https://doi.org/10.1007/s10778-013-0587-5
  7. Javohir Shodmonov., Abdubakir Abdullaev., “Tok o`tkazuvchi mikroelementning magnitoelastik tebranishi” International Scientific Journal of “Science and Innovation”. UIF-2022: 8.2. ISSN: 2181-3337.Volume 1, Issue 4. P.52-55. https://doi.org/10.5281/ zenodo.6873133
  8. Y. H. Bian and H. T. Zhao,“Analysis of thermal-magneticelastic stresses and strains in a thin current-carrying cylindrical shell,” Int. Appl. Mech., 52, No. 4,437–448 (2016).
  9. R. S. Indiaminov and R. Butaev, et al., “Nonlinear integro-differential equations of bending of physically nonlinear viscoelastic plates,” IOP Publishing. Conf. Series:Materials Science and Engineering, 7 (2020), https://doi.org/10.1088/1757-899X/869/5/05 2048.
  10. R. Sh. Indiaminov, “Magnetoelastic deformation of a currentcarrying orthotropic conical shell with an orthotropy of conductive properties,” Bulletin of the University of Kiev 5, 81–86 (2015).
  11. Indiaminov R., Narkulov A.,Butaev, R. “Magnetoelastic strain of flexible shells in nonlinear statement”, AIP Conference Proceedings, 2021, 2365, 02 0002.https://doi.org/10.1063/5.0056840
  12. Indiaminov, R., Butaev, R.,Narkulov, A.. “Nonlinear deformation of a current shell in a magnetic field”, AIP Conference Proceedings, 2021, 2365, 02 0001.https://doi.org/10.1063/5.0056839
  13. Ravshan Indiaminov and Nuriddin Yusupov, "Mathematical Modeling of Magnetoelastic Vibrations of Current Conductive Shells in the Non Stationary Magnetic Field," 2021 International Conference on Information Science and Communications Technologies (ICISCT), 2021, pp. 1-4.
  14. Ravshan Indiaminov, Abdubakir Abdullaev, et al., “Nonlinear Strain of a Current-Conducting Annular Plate in a Magnetic Field”, Journal: AIP Conference Proceedings 2467, 060026 (2022). https://doi.org/10.1063/5.0092485
  15. Ravshan Indiaminov, Nuriddin Yusupov, et al., “Nonlinear Oscillations of a Current-Carrying Shell in Magnetic Field”, Journal: AIP Conference Proceedings 2467, 020013 (2022); https://doi.org/10.1063/5.0092465

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