E3S Web of Conf.
Volume 389, 2023Ural Environmental Science Forum “Sustainable Development of Industrial Region” (UESF-2023)
|Number of page(s)||14|
|Section||Materials Science Innovations, Green Chemistry and Emission Reduction|
|Published online||31 May 2023|
Rectangular plate calculation algorithm for static loads with geometric nonlinearity
1 Dagestan State Pedagogical University, 57 Muhammad Yaragsky street, 367000, Makhachkala, Dagestan, Russia
2 Moscow Automobile and Road Construction State Technical University (MADI), Makhachkala Branch, 13, Ali-Gadgi Akushinsky ave., 367026, Makhachkala, Dagestan, Russia
3 College of Construction and Design, 38 a, Przhevalskogo str., 367014, Makhachkala, Dagestan, Russia
4 College of Motor Vehicles and Road Construction, 13, Ali-Gadgi Akushinsky ave., 367026, Makhachkala, Dagestan, Russia
* Corresponding author: firstname.lastname@example.org
The aim of this study is to develop an algorithm for calculating rectangular plates for statistical loads taking into account geometrical nonlinearity on the basis of difference equations of the method of sequential approximations taking into account full and partial contact with elastic base. For our study, we used methods: finite elements method and method of sequential approximations, and theory of plate calculation considering large deflections. Results: a method, algorithm, and calculation algorithm for rectangular plates in the geometrically nonlinear formulation using difference equations of the method of sequential approximations (SEA) taking into account full and partial contact with the elastic base have been developed. Conclusion: An algorithm has been developed for the computation of rectangular plates in geometrically nonlinear formulation using difference equations of the method of sequential approximations. It is recommended to use generalized difference equations of finite difference method when calculating rectangular plates for the action of piecewise distributed transverse loads without taking into consideration interaction with elastic base. Having more compact form of recording, the solution obtained by using them has comparable accuracy as the version using SEA difference equations.
Key words: finite element method / deflection / stress function / plate / differential equations
© The Authors, published by EDP Sciences, 2023
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.