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

Research outputpeer-review

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.

Original languageEnglish
Title of host publicationShell Structures
Subtitle of host publicationTheory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
EditorsWojciech Pietraszkiewicz, Wojciech Witkowski
PublisherTaylor & Francis
Pages283-286
Number of pages4
Volume4
ISBN (Electronic)9781351680486
ISBN (Print)9781138050457
DOIs
Publication statusPublished - 1 Jan 2018
Event11th International Conference on Shell Structures: Theory and Applications, SSTA 2017 - Gdańsk
Duration: 11 Oct 201713 Oct 2017

Publication series

NameShell Structures: Theory and Applications
PublisherTaylor & Francis
Volume4

Conference

Conference11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
CountryPoland
CityGdańsk
Period11/10/1713/10/17

Scopus subject areas

  • Civil and Structural Engineering
  • Building and Construction
  • Architecture

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  • Cite this

    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