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This article is cited in 2 scientific papers (total in 2 papers)
Scientific Part
Mechanics
On the unsymmetrical buckling of shallow spherical shells
under internal pressure
S. M. Bauer, E. B. Voronkova St. Petersburg State University, 7/9 Universitetskaya Emb., St. Petersburg 199034, Russia
Abstract:
This work is devoted to the numerical study of
unsymmetrical buckling of shallow spherical shells and annular
plates with varying mechanical characteristics subjected to
internal pressure. We suppose that the edge of the shell is
clamped but moving freely in the shell’s plane. For the annular
plate a roller support is considered for the inner edge of the
plate, i.e. the edge that can slide along the figure axes without
changing the slope. 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 inhomogeneity on the buckling
load is examined. It is shown that if the elasticity modulus
decreases away from the center of a plate, the critical pressure
for unsymmetric buckling is sufficiently lower than for a plate
with constant mechanical properties.
Key words:
shallow spherical shell, annular plate, unsymmetrical
buckling, inhomogeneity.
Citation:
S. M. Bauer, E. B. Voronkova, “On the unsymmetrical buckling of shallow spherical shells
under internal pressure”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 390–396
Linking options:
https://www.mathnet.ru/eng/isu774 https://www.mathnet.ru/eng/isu/v18/i4/p390
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Abstract page: | 187 | Full-text PDF : | 90 | References: | 16 |
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