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This article is cited in 4 scientific papers (total in 4 papers)
Theoretical and practical mechanics
Influence of boundary constraints on the appearance of asymmetrical equilibrium states in circular plates under normal pressure
S. M. Bauerab, E. B. Voronkovaba a Saint Petersburg State University, 7/9 Universitetskaya Embankment, Saint Petersburg 199034, Russia
b Research and Education Center «Materials», Don State Technical University, 1 Gagarina Square, Rostov-on-Don 344000, Russia
Abstract:
Unsymmetrical buckling of nonuniform circular plates with elastically restrained edge and subjected to normal pressure is studied in this paper. The unsymmetric part of the solution is sought in terms of multiples of the harmonics of the angular coordinate. A numerical method is employed to obtain the lowest load value, which leads to the appearance of waves in the circumferential direction. The effect of material heterogeneity and boundary on the buckling load is examined. It is shown that if the outer edge of a plate is elastically restrained against radial deflection, the buckling load for unsymmetrical buckling is larger than for a plate with a movable edge. The elasticity modulus decrease away from the center of a plate leads to sufficient lowering of the buckling pressure if the outer edge can move freely in the radial direction.
Keywords:
circular plate; buckling; heterogeneity.
Citation:
S. M. Bauer, E. B. Voronkova, “Influence of boundary constraints on the appearance of asymmetrical equilibrium states in circular plates under normal pressure”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2020), 38–46
Linking options:
https://www.mathnet.ru/eng/bgumi50 https://www.mathnet.ru/eng/bgumi/v1/p38
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Abstract page: | 78 | Full-text PDF : | 29 | References: | 11 |
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