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http://hdl.handle.net/11701/41491
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Поле DC | Значение | Язык |
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dc.contributor.author | Nesterchuk, Grigory A. | - |
dc.contributor.author | Smirnov, Andrei L. | - |
dc.contributor.author | Filippov, Sergei B. | - |
dc.date.accessioned | 2023-05-19T07:17:00Z | - |
dc.date.available | 2023-05-19T07:17:00Z | - |
dc.date.issued | 2023-05 | - |
dc.identifier.citation | Nesterchuk G.A., SmirnovA. L., Filippov S.B. Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 334–343. https://doi.org/10.21638/spbu01.2023.213 (In Russian) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2023.213 | - |
dc.identifier.uri | http://hdl.handle.net/11701/41491 | - |
dc.description.abstract | Using numerical and asymptotic methods, the lowest natural frequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end cap attached to it, having the shape of a shallow spherical segment, are studied in the paper. Three types of natural vibrations of the structure are described. Eigenfrequencies and modes of vibrations of the first type, close to the frequencies and modes of vibrations of a shallow spherical shell, were studied in previous works. In this paper, we study the forms and frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever beam with the load). An optimization problem is solved to determine the values of the structure parameters, the relative thickness of its elements and the curvature of the end cap, at which the minimum value of the natural frequency is maximum. A comparison of the asymptotic and numerical results reveals their good agreement. | en_GB |
dc.description.sponsorship | The research was supported by the Russian Science Foundation (project no. 23-21-00111). | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2 | - |
dc.subject | joint thin shells | en_GB |
dc.subject | free vibrations | en_GB |
dc.subject | asymptotic methods | en_GB |
dc.subject | optimization | en_GB |
dc.title | Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 2 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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334-343.pdf | 843,05 kB | Adobe PDF | Просмотреть/Открыть |
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