Упругопластическая неустойчивость одного автоскрепленного вращающегося кольцевого диска

D. M. Lila

Анотація


При исследовании методом малого параметра возможной потери устойчи­вости автоскрепленного быстровращающегося тонкого кольцевого диска конечной постоянной толщины выяснена зависимость между скоростью вращения и радиусом пластической зоны. На основе условия текучести Сен-Венана характеристическое уравнение получено в первом приближении по малому параметру.

 

Зразок для цитування: Д. М. Лила, “Упругопластическая неустойчивость одного автоскрепленного вращаю­щегося кольцевого диска,” Прикл. проблеми механіки і математики, Вип. 16, 82–90 (2018), http://doi.org/10.15407/apmm2018.16.82-90



Посилання


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D. M. Lila, A. A. Martynyuk, “Eccentric form of the loss of stability of a rotating elastoplastic radially inhomogeneous stepped circular disk,” Mat. Metody Fiz.-Mekh. Polya, 58, No. 4, 47–57 (2015); English translation: J. Math. Sci., 228, No. 1, 53–65 (2018), https://doi.org/10.1007/s10958-017-3605-z

D. M. Lila, A. A. Martynyuk, “On instability of a rotating elastoplastic composite plane circular disk,” Mat. Metody Fiz.-Mekh. Polya, 55, No. 1, 145–158 (2012); English translation: J. Math. Sci., 190, No. 6, 804–822 (2013), https://doi.org/10.1007/s10958-013-1290-0


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