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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 proceedingChapterResearchpeer-review

Harvard

Bauer, SM & Voronkova, EB 2022, Asymmetric Buckling of Heterogeneous Annular Plates. in Recent Approaches in the Theory of Plates and Plate-Like Structures. Advanced Structured Materials, vol. 151, Springer Nature, pp. 17-26. https://doi.org/10.1007/978-3-030-87185-7_2

APA

Bauer, S. M., & Voronkova, E. B. (2022). Asymmetric Buckling of Heterogeneous Annular Plates. In Recent Approaches in the Theory of Plates and Plate-Like Structures (pp. 17-26). (Advanced Structured Materials; Vol. 151). Springer Nature. https://doi.org/10.1007/978-3-030-87185-7_2

Vancouver

Bauer SM, Voronkova EB. Asymmetric Buckling of Heterogeneous Annular Plates. In Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature. 2022. p. 17-26. (Advanced Structured Materials). https://doi.org/10.1007/978-3-030-87185-7_2

Author

Bauer, Svetlana M. ; Voronkova, Eva B. / Asymmetric Buckling of Heterogeneous Annular Plates. Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature, 2022. pp. 17-26 (Advanced Structured Materials).

BibTeX

@inbook{4d9c9e119a704399857f9c2a19bb8ebc,
title = "Asymmetric Buckling of Heterogeneous Annular Plates",
abstract = "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{\textquoteright}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.",
author = "Bauer, {Svetlana M.} and Voronkova, {Eva B.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2022",
doi = "10.1007/978-3-030-87185-7_2",
language = "English",
isbn = "978-3-030-87184-0",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "17--26",
booktitle = "Recent Approaches in the Theory of Plates and Plate-Like Structures",
address = "Germany",

}

RIS

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