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On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge. / Bauer, S.M.; Voronkova, Eva B. .

Analysis of Shells, Plates, and Beams: A State of the Art Report. ed. / H. Altenbach; N. Chinchaladze; R. Kienzler; W.H. Müller. Springer Nature, 2020. p. 65-74 (Advanced Structured Materials; Vol. 134).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Bauer, SM & Voronkova, EB 2020, On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge. in H Altenbach, N Chinchaladze, R Kienzler & WH Müller (eds), Analysis of Shells, Plates, and Beams: A State of the Art Report. Advanced Structured Materials, vol. 134, Springer Nature, pp. 65-74. https://doi.org/10.1007/978-3-030-47491-1_4

APA

Bauer, S. M., & Voronkova, E. B. (2020). On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge. In H. Altenbach, N. Chinchaladze, R. Kienzler, & W. H. Müller (Eds.), Analysis of Shells, Plates, and Beams: A State of the Art Report (pp. 65-74). (Advanced Structured Materials; Vol. 134). Springer Nature. https://doi.org/10.1007/978-3-030-47491-1_4

Vancouver

Bauer SM, Voronkova EB. On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge. In Altenbach H, Chinchaladze N, Kienzler R, Müller WH, editors, Analysis of Shells, Plates, and Beams: A State of the Art Report. Springer Nature. 2020. p. 65-74. (Advanced Structured Materials). https://doi.org/10.1007/978-3-030-47491-1_4

Author

Bauer, S.M. ; Voronkova, Eva B. . / On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge. Analysis of Shells, Plates, and Beams: A State of the Art Report. editor / H. Altenbach ; N. Chinchaladze ; R. Kienzler ; W.H. Müller. Springer Nature, 2020. pp. 65-74 (Advanced Structured Materials).

BibTeX

@inbook{9a841e542db64c3dbfd6d4e267b962e5,
title = "On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge",
abstract = "Asymmetrical buckling of pressurized nonuniform shallow shells with elastically restrained edge under normal pressure is studied. The load is applied internally to the shell. 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 at which waves in the circumferential direction can appear. The effect of material heterogeneity and boundary on the buckling load is examined. If the outer edge can move freely in the radial direction, decreasing of the elasticity modulus to the shell (plate) edge leads to sufficient lowering of the buckling pressure. For a shell with ellastically restrained edge, the buckling pressure and mode number increase with a rise of spring stiffness.",
keywords = "Asymmetrical buckling, Elastic edge support, Shallow shells",
author = "S.M. Bauer and Voronkova, {Eva B.}",
note = "Funding Information: This research was supported by the Government of Russia grant no. 14.Z50.31.0046.",
year = "2020",
doi = "10.1007/978-3-030-47491-1_4",
language = "English",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "65--74",
editor = "Altenbach, {H. } and N. Chinchaladze and R. Kienzler and W.H. M{\"u}ller",
booktitle = "Analysis of Shells, Plates, and Beams",
address = "Germany",

}

RIS

TY - CHAP

T1 - On Buckling Behavior Of Inhomogeneous Shallow Spherical Caps with Elastically Restrained Edge

AU - Bauer, S.M.

AU - Voronkova, Eva B.

N1 - Funding Information: This research was supported by the Government of Russia grant no. 14.Z50.31.0046.

PY - 2020

Y1 - 2020

N2 - Asymmetrical buckling of pressurized nonuniform shallow shells with elastically restrained edge under normal pressure is studied. The load is applied internally to the shell. 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 at which waves in the circumferential direction can appear. The effect of material heterogeneity and boundary on the buckling load is examined. If the outer edge can move freely in the radial direction, decreasing of the elasticity modulus to the shell (plate) edge leads to sufficient lowering of the buckling pressure. For a shell with ellastically restrained edge, the buckling pressure and mode number increase with a rise of spring stiffness.

AB - Asymmetrical buckling of pressurized nonuniform shallow shells with elastically restrained edge under normal pressure is studied. The load is applied internally to the shell. 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 at which waves in the circumferential direction can appear. The effect of material heterogeneity and boundary on the buckling load is examined. If the outer edge can move freely in the radial direction, decreasing of the elasticity modulus to the shell (plate) edge leads to sufficient lowering of the buckling pressure. For a shell with ellastically restrained edge, the buckling pressure and mode number increase with a rise of spring stiffness.

KW - Asymmetrical buckling

KW - Elastic edge support

KW - Shallow shells

UR - https://www.springer.com/gp/book/9783030474904#aboutBook

UR - https://www.springerprofessional.de/on-buckling-behavior-of-inhomogeneous-shallow-spherical-caps-wit/18047406

UR - http://www.scopus.com/inward/record.url?scp=85086133391&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/57a2e4ca-e363-3023-b4f2-ff41d9e29860/

U2 - 10.1007/978-3-030-47491-1_4

DO - 10.1007/978-3-030-47491-1_4

M3 - Chapter

T3 - Advanced Structured Materials

SP - 65

EP - 74

BT - Analysis of Shells, Plates, and Beams

A2 - Altenbach, H.

A2 - Chinchaladze, N.

A2 - Kienzler, R.

A2 - Müller, W.H.

PB - Springer Nature

ER -

ID: 61370422