Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Asymmetric Buckling of Heterogeneous Annular Plates. / Bauer, Svetlana M.; Voronkova, Eva B.
Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature, 2022. p. 17-26 (Advanced Structured Materials; Vol. 151).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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TY - CHAP
T1 - Asymmetric Buckling of Heterogeneous Annular Plates
AU - Bauer, Svetlana M.
AU - Voronkova, Eva B.
N1 - Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - Nonaxisymmetrical buckling of inhomogeneous annular plates subjected to normal pressure is studied. The effect of material heterogeneity and ratio of inner to outer radii on the buckling load is examined. 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. For an annular plate with a small inner radius of a plate and Young’s modulus, decreasing towards the outer edge, the critical pressure for unsymmetrical buckling is sufficiently lower than for a plate with constant mechanical properties. For an annulus with large inner radius, the buckling pressure and the buckling mode number increases as the Young modulus decreases towards to outer edge of a plate.
AB - Nonaxisymmetrical buckling of inhomogeneous annular plates subjected to normal pressure is studied. The effect of material heterogeneity and ratio of inner to outer radii on the buckling load is examined. 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. For an annular plate with a small inner radius of a plate and Young’s modulus, decreasing towards the outer edge, the critical pressure for unsymmetrical buckling is sufficiently lower than for a plate with constant mechanical properties. For an annulus with large inner radius, the buckling pressure and the buckling mode number increases as the Young modulus decreases towards to outer edge of a plate.
UR - http://www.scopus.com/inward/record.url?scp=85122448519&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/97b32639-9d40-3046-8607-05e08405603b/
U2 - 10.1007/978-3-030-87185-7_2
DO - 10.1007/978-3-030-87185-7_2
M3 - Chapter
AN - SCOPUS:85122448519
SN - 978-3-030-87184-0
T3 - Advanced Structured Materials
SP - 17
EP - 26
BT - Recent Approaches in the Theory of Plates and Plate-Like Structures
PB - Springer Nature
ER -
ID: 92479690