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This article is cited in 1 scientific paper (total in 1 paper)
ON THE ANNIVERSARY OF N.F. MOROZOV
On non-axisymmetrical buckling modes ofcircular plates under normal pressure
S. M. Bauer, E. B. Voronkova, B. N. Semenov St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
Abstract:
The paper presents the results of a study of the bifurcation of axisymmetric equilibrium forms of round plates under various conditions for fixing the outer edge. It is shown that for the case of sliding edge, the analytical, asymptotic and finite element approaches give close results. When the edge of the plate is hinged, the buckling to a non-axisymmetric state occurs at a much higher load and with the formation of a smaller number of waves than for a sliding boundary conditions. Difficulties in obtaining a numerical solution based on the analytical approach are apparently associated with the need for a more accurate description of the stress-strain subcritical state of the plate.
Keywords:
circular plate, buckling, finite element modelling.
Received: 09.02.2022 Revised: 27.02.2022 Accepted: 03.03.2022
Citation:
S. M. Bauer, E. B. Voronkova, B. N. Semenov, “On non-axisymmetrical buckling modes ofcircular plates under normal pressure”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:3 (2022), 417–425; Vestn. St. Petersbg. Univ., Math., 9:3 (2022), 417–425
Linking options:
https://www.mathnet.ru/eng/vspua22 https://www.mathnet.ru/eng/vspua/v9/i3/p417
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