Rectangular plate calculation algorithm for static loads with geometric nonlinearity
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 o...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | E3S Web of Conferences |
| Subjects: | |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01005.pdf |
| _version_ | 1797807928626905088 |
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| author | Balamirzoev Abdul Ahmedova (Sephikhanova) Saida Kurbanova Elina Isaeva Amina |
| author_facet | Balamirzoev Abdul Ahmedova (Sephikhanova) Saida Kurbanova Elina Isaeva Amina |
| author_sort | Balamirzoev Abdul |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T06:30:02Z |
| format | Article |
| id | doaj.art-8b05040128864f0d9b3999f9834397e3 |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-03-13T06:30:02Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-8b05040128864f0d9b3999f9834397e32023-06-09T09:09:36ZengEDP SciencesE3S Web of Conferences2267-12422023-01-013890100510.1051/e3sconf/202338901005e3sconf_uesf2023_01005Rectangular plate calculation algorithm for static loads with geometric nonlinearityBalamirzoev Abdul0Ahmedova (Sephikhanova) Saida1Kurbanova Elina2Isaeva Amina3Dagestan State Pedagogical UniversityMoscow Automobile and Road Construction State Technical University (MADI)College of Construction and DesignCollege of Motor Vehicles and Road ConstructionThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01005.pdffinite element methoddeflectionstress functionplatedifferential equations |
| spellingShingle | Balamirzoev Abdul Ahmedova (Sephikhanova) Saida Kurbanova Elina Isaeva Amina Rectangular plate calculation algorithm for static loads with geometric nonlinearity E3S Web of Conferences finite element method deflection stress function plate differential equations |
| title | Rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| title_full | Rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| title_fullStr | Rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| title_full_unstemmed | Rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| title_short | Rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| title_sort | rectangular plate calculation algorithm for static loads with geometric nonlinearity |
| topic | finite element method deflection stress function plate differential equations |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2023/26/e3sconf_uesf2023_01005.pdf |
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