Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action
Shallow shells of double curvature are often used as elements of building structures and are subjected to various external effects, including dynamic periodic loads. The paper proposes to extend the previously proposed approach to modeling the process of deformation of thin shells to a class of prob...
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2024-12-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
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| Online Access: | https://journals.rudn.ru/structural-mechanics/article/viewFile/42700/24459 |
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| author | Alexey A. Semenov |
| author_facet | Alexey A. Semenov |
| author_sort | Alexey A. Semenov |
| collection | DOAJ |
| description | Shallow shells of double curvature are often used as elements of building structures and are subjected to various external effects, including dynamic periodic loads. The paper proposes to extend the previously proposed approach to modeling the process of deformation of thin shells to a class of problems with periodic effects. A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. The calculation algorithm is based on the method of L.V. Kantorovich and the Rosenbrock method for solving rigid ODE systems. The calculations are performed in Maple. Dynamic responses are obtained for an isotropic shallow shell of double curvature at different frequency values, and vertical displacement fields are shown at peak values of the oscillation amplitude. |
| format | Article |
| id | doaj-art-bad9fb1703834f90a5741b420bc9e00a |
| institution | Kabale University |
| issn | 1815-5235 2587-8700 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj-art-bad9fb1703834f90a5741b420bc9e00a2025-02-04T07:23:34ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002024-12-0120543344010.22363/1815-5235-2024-20-5-433-44021053Dynamic Response of Doubly-Curved Shallow Shells to Periodic External ActionAlexey A. Semenov0https://orcid.org/0000-0001-9490-7364Saint Petersburg State University of Architecture and Civil EngineeringShallow shells of double curvature are often used as elements of building structures and are subjected to various external effects, including dynamic periodic loads. The paper proposes to extend the previously proposed approach to modeling the process of deformation of thin shells to a class of problems with periodic effects. A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. The calculation algorithm is based on the method of L.V. Kantorovich and the Rosenbrock method for solving rigid ODE systems. The calculations are performed in Maple. Dynamic responses are obtained for an isotropic shallow shell of double curvature at different frequency values, and vertical displacement fields are shown at peak values of the oscillation amplitude.https://journals.rudn.ru/structural-mechanics/article/viewFile/42700/24459shellsdynamic loadkantorovich methodvibrationsfunctional |
| spellingShingle | Alexey A. Semenov Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action Structural Mechanics of Engineering Constructions and Buildings shells dynamic load kantorovich method vibrations functional |
| title | Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action |
| title_full | Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action |
| title_fullStr | Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action |
| title_full_unstemmed | Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action |
| title_short | Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action |
| title_sort | dynamic response of doubly curved shallow shells to periodic external action |
| topic | shells dynamic load kantorovich method vibrations functional |
| url | https://journals.rudn.ru/structural-mechanics/article/viewFile/42700/24459 |
| work_keys_str_mv | AT alexeyasemenov dynamicresponseofdoublycurvedshallowshellstoperiodicexternalaction |