Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature
The paper analyzes the influence of cutouts on the buckling of shallow shells with double curvature. Based on the Timoshenko-Reissner hypothesis, a mathematical model is presented that considers transverse shifts, material orthotropy, geometric nonlinearity and structural weakening by cutouts. Cutou...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Chamran University of Ahvaz
2024-01-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_18444_f1498740e7e1873da9a32e4b886d07f9.pdf |
| _version_ | 1827772469724839936 |
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| author | Nikolai Mishurenko Alexey Semenov |
| author_facet | Nikolai Mishurenko Alexey Semenov |
| author_sort | Nikolai Mishurenko |
| collection | DOAJ |
| description | The paper analyzes the influence of cutouts on the buckling of shallow shells with double curvature. Based on the Timoshenko-Reissner hypothesis, a mathematical model is presented that considers transverse shifts, material orthotropy, geometric nonlinearity and structural weakening by cutouts. Cutouts are specified discretely by single columnar functions. The computational algorithm is based on the Ritz method and the Newton method. The implementation of the algorithm is carried out in the Maple 2022 software package. To study the buckling, the Lyapunov criterion is adopted. Calculations of the buckling of flat shells of double curvature with square cuts, graphs of the dependence of deflections on loads and deflection fields are given. Accounting for the structural cutouts leads to a decrease in the critical load. At the same time, for the considered problems, it is found that the decrease in the critical load does not exceed 25 % for the cutout volume not exceeding 10 % of the shell volume. |
| first_indexed | 2024-03-11T13:08:53Z |
| format | Article |
| id | doaj.art-b9aa3ed29660413f92aa32da71e96124 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-03-11T13:08:53Z |
| publishDate | 2024-01-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-b9aa3ed29660413f92aa32da71e961242023-11-03T14:16:14ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362024-01-01101556310.22055/jacm.2023.44219.418218444Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double CurvatureNikolai Mishurenko0Alexey Semenov1Department of Computer Science, Saint Petersburg State University of Architecture and Civil Engineering, 4, 2nd Krasnoarmeyskaya st., Saint-Petersburg, 190005, RussiaDepartment of Computer Science, Saint Petersburg State University of Architecture and Civil Engineering, 4, 2nd Krasnoarmeyskaya st., Saint-Petersburg, 190005, RussiaThe paper analyzes the influence of cutouts on the buckling of shallow shells with double curvature. Based on the Timoshenko-Reissner hypothesis, a mathematical model is presented that considers transverse shifts, material orthotropy, geometric nonlinearity and structural weakening by cutouts. Cutouts are specified discretely by single columnar functions. The computational algorithm is based on the Ritz method and the Newton method. The implementation of the algorithm is carried out in the Maple 2022 software package. To study the buckling, the Lyapunov criterion is adopted. Calculations of the buckling of flat shells of double curvature with square cuts, graphs of the dependence of deflections on loads and deflection fields are given. Accounting for the structural cutouts leads to a decrease in the critical load. At the same time, for the considered problems, it is found that the decrease in the critical load does not exceed 25 % for the cutout volume not exceeding 10 % of the shell volume.https://jacm.scu.ac.ir/article_18444_f1498740e7e1873da9a32e4b886d07f9.pdfshellscutoutsbucklingcritical loadritz methodnewton method |
| spellingShingle | Nikolai Mishurenko Alexey Semenov Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature Journal of Applied and Computational Mechanics shells cutouts buckling critical load ritz method newton method |
| title | Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature |
| title_full | Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature |
| title_fullStr | Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature |
| title_full_unstemmed | Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature |
| title_short | Influence of Discretely Introduced Cutouts on the Buckling of Shallow Shells with Double Curvature |
| title_sort | influence of discretely introduced cutouts on the buckling of shallow shells with double curvature |
| topic | shells cutouts buckling critical load ritz method newton method |
| url | https://jacm.scu.ac.ir/article_18444_f1498740e7e1873da9a32e4b886d07f9.pdf |
| work_keys_str_mv | AT nikolaimishurenko influenceofdiscretelyintroducedcutoutsonthebucklingofshallowshellswithdoublecurvature AT alexeysemenov influenceofdiscretelyintroducedcutoutsonthebucklingofshallowshellswithdoublecurvature |