Математическое моделирование магнитоупругого деформирования нефферромагнитных оболочек в нестационарном магнитном поле

  • № 2 (2) 2022

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32

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39

Язык: русский

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Аннотация

В процессе деформации тела происходит изменение формы его по-верхности, что приводит к изменению направления тока, то есть изменяется электромагнитное поле тела, возникают вихревые токи, которые, взаимодействуя с внешним магнитным полем, приводят к появлению сил электромагнитного происхождения. Эти силы изменяют напряженное состояние тела и электромагнитного поля в нем. В работе математически моделировано магнитоупругое де-формирование неферромагнитных тонких оболочек находящейся под воздействием нестационарных электромагнитных сил и механических нагрузок. Получены численные результаты и проведены анализ электромагнитных эффектов напряженно-деформированного состояния неферромагнитных тонких оболочек. Исследуется влияние толщины на напряженно-деформированное состояние оболочки.

Jism dermatsiyalanish jarayonida sirti shakli oʻzgaradi, bu esa tok yoʻnalishi oʻzgarishiga olib keladi, elektromagnit maydoni oʻzgaradi va yurmaviy toklar vujudga keladi. Ular tashqi magnit maydoni bilan oʻzaro ta’sirlashib elektromagnit kuchlari paydo boʻladi. Bu kuchlar jism kuchlanganlik holatini va undagi elektromagnit maydonini o`zgartiradi. Maqolada nostatsionar elektromagnit kuchlar va mexanik yuklanishlar ta’sirida boʻlgan ferromagnit boʻlmagan yupqa qobiqning magnitoelastik deformatsiyalanishini matematik modellashtirilgan. Sonli natijalar olingan va ferromagnit boʻlmagan tok oʻtkazuvchi qobiq kuchlanganlik deformatsiyalangan holati va elektromagnit effektlar tahlili oʻtkazilgan. Qobiq kuchlanganlik-deformatsiyalanganlik holatiga qalinlikning ta’siri tadqiq qilingan.

In the process of deformation of the body, the shape of its surface changes, which leads to a change in the direction of the current, that is, the electromagnetic field of the body changes, eddy currents arise, which, interacting with an external magnetic field, lead to the appearance of forces of electromagnetic origin. These forces change the stress state of the body and the electromagnetic field in it. The work mathematically sim-ulates the magnetoelastic deformation of non-ferromagnetic thin shells under the influ-ence of non-stationary electromagnetic forces and mechanical loads. Numerical results are obtained and an analysis is made of the electromagnetic effects of the stress-strain state of non-ferromagnetic thin shells. The effect of thickness on the stress-strain state of the shell is studied.

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