| Issue |
E3S Web Conf.
Volume 274, 2021
2nd International Scientific Conference on Socio-Technical Construction and Civil Engineering (STCCE – 2021)
|
|
|---|---|---|
| Article Number | 03019 | |
| Number of page(s) | 7 | |
| Section | Building Constructions, Buildings and Structures | |
| DOI | https://doi.org/10.1051/e3sconf/202127403019 | |
| Published online | 18 June 2021 | |
Strength of thin-walled elastic building structures
Kazan Federal University – Naberezhnye Chelny Institute, 423812 Naberezhnye Chelny, Russia
* Corresponding author: kharasova.liya@mail.ru
The existence theorem is proved within the framework of the shear model by S.P. Timoshenko. The stress-strain state of elastic inhomogeneous isotropic shallow thin-walled shell constructions is studied. The stress-strain state of shell constructions is described by a system of the five equilibrium equations and by the five static boundary conditions with respect to generalized displacements. The aim of the work is to find generalized displacements from a system of equilibrium equations that satisfy given static boundary conditions. The research is based on integral representations for generalized displacements containing arbitrary holomorphic functions. Holomorphic functions are found so that the generalized displacements should satisfy five static boundary conditions. The integral representations constructed this way allow to obtain a nonlinear operator equation. The solvability of the nonlinear equation is established with the use of contraction mappings principle.
Key words: Building constructions of the shell type / stress-strain state / equilibrium equations / static boundary conditions / generalized displacements
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.