Standard

Stability of a multilayered non-circular cylindrical shell under external pressure. / Zelinskaya, A.; Tovstik, P. E.

Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. ed. / Wojciech Pietraszkiewicz; Wojciech Witkowski. Vol. 4 Taylor & Francis, 2018. p. 283-286 (Shell Structures: Theory and Applications; Vol. 4).

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

Harvard

Zelinskaya, A & Tovstik, PE 2018, Stability of a multilayered non-circular cylindrical shell under external pressure. in W Pietraszkiewicz & W Witkowski (eds), Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. vol. 4, Shell Structures: Theory and Applications, vol. 4, Taylor & Francis, pp. 283-286, 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017, Gdańsk, Poland, 11/10/17. https://doi.org/10.1201/9781315166605-63

APA

Zelinskaya, A., & Tovstik, P. E. (2018). Stability of a multilayered non-circular cylindrical shell under external pressure. In W. Pietraszkiewicz, & W. Witkowski (Eds.), Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017 (Vol. 4, pp. 283-286). (Shell Structures: Theory and Applications; Vol. 4). Taylor & Francis. https://doi.org/10.1201/9781315166605-63

Vancouver

Zelinskaya A, Tovstik PE. Stability of a multilayered non-circular cylindrical shell under external pressure. In Pietraszkiewicz W, Witkowski W, editors, Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. Vol. 4. Taylor & Francis. 2018. p. 283-286. (Shell Structures: Theory and Applications). https://doi.org/10.1201/9781315166605-63

Author

Zelinskaya, A. ; Tovstik, P. E. / Stability of a multilayered non-circular cylindrical shell under external pressure. Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017. editor / Wojciech Pietraszkiewicz ; Wojciech Witkowski. Vol. 4 Taylor & Francis, 2018. pp. 283-286 (Shell Structures: Theory and Applications).

BibTeX

@inproceedings{7aa8f7a86b0c4dd0a336da48d8e9724f,
title = "Stability of a multilayered non-circular cylindrical shell under external pressure",
abstract = "The paper deals with the stability of an elastic non-circular cylindrical shell of intermediate length under uniform external pressure. The shell is assumed heterogeneous in the thickness direction, in its part it may be multilayered. In order to derive the equations of stability, we use the generalized Timoshenko-Reissner model. According to it, a shell that is heterogeneous can be replaced by a homogeneous shell with the equivalent bending and transversal shear stiffness.We obtain the approximate asymptotic formula for a critical load that takes into account an influence of a transversal shear and a variability of a directrix curvature. This formula generalizes the classical Southwell-Papkovich formula for a circular homogeneous shell.As an example, a three-layer elliptical shell is analysed, with hinged edges and a soft middle layer. We discuss the influence of transversal shear on a critical load for both an elliptical and a circular shell.",
author = "A. Zelinskaya and Tovstik, {P. E.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1201/9781315166605-63",
language = "English",
isbn = "9781138050457",
volume = "4",
series = "Shell Structures: Theory and Applications",
publisher = "Taylor & Francis",
pages = "283--286",
editor = "Wojciech Pietraszkiewicz and Wojciech Witkowski",
booktitle = "Shell Structures",
address = "United Kingdom",
note = "11th International Conference on Shell Structures: Theory and Applications, SSTA 2017 ; Conference date: 11-10-2017 Through 13-10-2017",

}

RIS

TY - GEN

T1 - Stability of a multilayered non-circular cylindrical shell under external pressure

AU - Zelinskaya, A.

AU - Tovstik, P. E.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The paper deals with the stability of an elastic non-circular cylindrical shell of intermediate length under uniform external pressure. The shell is assumed heterogeneous in the thickness direction, in its part it may be multilayered. In order to derive the equations of stability, we use the generalized Timoshenko-Reissner model. According to it, a shell that is heterogeneous can be replaced by a homogeneous shell with the equivalent bending and transversal shear stiffness.We obtain the approximate asymptotic formula for a critical load that takes into account an influence of a transversal shear and a variability of a directrix curvature. This formula generalizes the classical Southwell-Papkovich formula for a circular homogeneous shell.As an example, a three-layer elliptical shell is analysed, with hinged edges and a soft middle layer. We discuss the influence of transversal shear on a critical load for both an elliptical and a circular shell.

AB - The paper deals with the stability of an elastic non-circular cylindrical shell of intermediate length under uniform external pressure. The shell is assumed heterogeneous in the thickness direction, in its part it may be multilayered. In order to derive the equations of stability, we use the generalized Timoshenko-Reissner model. According to it, a shell that is heterogeneous can be replaced by a homogeneous shell with the equivalent bending and transversal shear stiffness.We obtain the approximate asymptotic formula for a critical load that takes into account an influence of a transversal shear and a variability of a directrix curvature. This formula generalizes the classical Southwell-Papkovich formula for a circular homogeneous shell.As an example, a three-layer elliptical shell is analysed, with hinged edges and a soft middle layer. We discuss the influence of transversal shear on a critical load for both an elliptical and a circular shell.

UR - http://www.scopus.com/inward/record.url?scp=85063892902&partnerID=8YFLogxK

U2 - 10.1201/9781315166605-63

DO - 10.1201/9781315166605-63

M3 - Conference contribution

AN - SCOPUS:85063892902

SN - 9781138050457

VL - 4

T3 - Shell Structures: Theory and Applications

SP - 283

EP - 286

BT - Shell Structures

A2 - Pietraszkiewicz, Wojciech

A2 - Witkowski, Wojciech

PB - Taylor & Francis

T2 - 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017

Y2 - 11 October 2017 through 13 October 2017

ER -

ID: 38373219