Research output: Contribution to journal › Article › peer-review
On Non-Axisymmetric Buckling Modes of Inhomogeneous Circular Plates. / Bauer, S. M.; Voronkova, E. B.
In: Vestnik St. Petersburg University: Mathematics, Vol. 54, No. 2, 04.2021, p. 113-118.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On Non-Axisymmetric Buckling Modes of Inhomogeneous Circular Plates
AU - Bauer, S. M.
AU - Voronkova, E. B.
N1 - Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/4
Y1 - 2021/4
N2 - Abstract: In this paper, the stability of axisymmetric equilibrium modes of inhomogeneous circular plates with an elastically restrained edge, which are subjected to a normal pressure, is discussed. Assuming that the asymmetric component of the solution is periodic, the numerical method is used to determine the lowest load value, at which a bifurcation into the asymmetric state occurs. The influence of the degree of material inhomogeneity and the edge restraint conditions on the critical load and the buckling mode is investigated. It is shown that when the stiffness of the restraint that restricts the plate edge displacement increases in the radial direction, the asymmetric equilibrium modes can emerge under considerably higher loads and generate more waves in the circumferential direction. An increase in the elastic modulus of the plate toward its edge leads to an increase in the critical load, while the number of waves in the buckling mode does not change as compared to a homogeneous plate. When the elastic modulus decreases toward the plate edge the critical load decreases at weak constraints on the plate’s radial displacement.
AB - Abstract: In this paper, the stability of axisymmetric equilibrium modes of inhomogeneous circular plates with an elastically restrained edge, which are subjected to a normal pressure, is discussed. Assuming that the asymmetric component of the solution is periodic, the numerical method is used to determine the lowest load value, at which a bifurcation into the asymmetric state occurs. The influence of the degree of material inhomogeneity and the edge restraint conditions on the critical load and the buckling mode is investigated. It is shown that when the stiffness of the restraint that restricts the plate edge displacement increases in the radial direction, the asymmetric equilibrium modes can emerge under considerably higher loads and generate more waves in the circumferential direction. An increase in the elastic modulus of the plate toward its edge leads to an increase in the critical load, while the number of waves in the buckling mode does not change as compared to a homogeneous plate. When the elastic modulus decreases toward the plate edge the critical load decreases at weak constraints on the plate’s radial displacement.
KW - buckling
KW - circular plate
KW - inhomogeneity
UR - http://www.scopus.com/inward/record.url?scp=85108071351&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/b6c0b198-fce4-34ae-9aa2-7af21e4791ce/
U2 - 10.1134/S1063454121020023
DO - 10.1134/S1063454121020023
M3 - Article
AN - SCOPUS:85108071351
VL - 54
SP - 113
EP - 118
JO - Vestnik St. Petersburg University: Mathematics
JF - Vestnik St. Petersburg University: Mathematics
SN - 1063-4541
IS - 2
ER -
ID: 78288574