Stability of non-thin anisotropic cylindrical shells in spatial position under distributed lateral pressure
DOI:
https://doi.org/10.17721/1812-5409.2023/2.26Keywords:
stability, three-dimensional approach, anisotropic layered cylindrical shellsAbstract
A three-dimensional approach to solving the problem of stability of non-thin cylindrical anisotropic layered shells under distributed lateral pressure is proposed. Based on the modified Hu-Washizu variational principle, a three-dimensional system of homogeneous differential stability equations is obtained for the calculation of shells, the anisotropy of which is characterized by a material with one plane of elastic symmetry. The solution of the three-dimensional system was carried out using the Bubnov-Galerkin methods and numerical discrete orthogonalization.
The influence of an increase in the number of cross-laid layers of the same thickness on the stability of an anisotropic cylindrical shell is studied. The results of the solution are presented by graphs and their analysis is given.
Pages of the article in the issue: 152 - 155
Language of the article: Ukrainian
References
BAZENOV, V., SEMENUK, M. and TRACH, V. (2010) Neliniyne deformuvannya, stiykist' i zakritichna povedinka anizotropnykh obolonok. Kyiv: Karavela.
TRACH, V., PODVORNYI, A. and KHORUZHYI, M. (2019) Deformuvannya ta stiykistʹ netonkykh anizotropnykh obolonok. Kyiv: Karavela.
GUZ, A. (1986) Osnovy trekhmernoy teorii ustoychivosti deformiruemykh tel. Kiyev: Vischa shkola.
GUZ, A. and BABICH, I. (1985) Prostranstvennye zadachi teorii uprugosty i plastichnosty. T.4. Trehmernaya teoriya ustoychivosty deformiruemyh tel. Kiyev: Naukova dumka.
VASIDZU, K. (1987) Variatsionnyye metody v teorii uprugosti i plastichnosti. M.: Mir.
SEMENYUK, M., TRACH, V. & PODVORNYI, A. (2023) Napruzheno-deformovanyy stan tovstostinnoyi anizotropnoyi tsylindrychnoyi obolonky. Prykladna mekhanika. 59 (1). p. 91-102.
TRACH, V. & PODVORNYI, A. (2022) Prostorovi rivnyannya stiykosti anizotropnykh tovstykh tsylindrychnykh obolonok pid diyeyu osʹovoho tysku. Resursoekonomni materialy, konstruktsiyi, budivli ta sporudy. 41. p. 197-212.
GRIGORENKO, YA., VLAYKOV, G. and GRIGORENKO, A. (2006) Chislenno-analiticheskoe reshenie zadach mekhaniki obolochek na osnove razlichnih modeley. Kyiv: Akademperiodika.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 V. M. Trach, A. V. Podvornyi, N. B. Zhukova

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
