Ritz method in the problem of free vibrations of thin elastic shells
UDC 539.385:534.13, 517.97 Based on the variational formulation of the problem of free vibrations of an arbitrary elastic thin-walled shell, we construct differential operators without restrictions imposed on their shape, which are valid both for the technical and general linear theories of shells....
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| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9254 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 539.385:534.13, 517.97
Based on the variational formulation of the problem of free vibrations of an arbitrary elastic thin-walled shell, we construct differential operators without restrictions imposed on their shape, which are valid both for the technical and general linear theories of shells. As a special case, we demonstrate the principles of construction of solutions to the problem posed for the shells of revolution by using the obtained differential operators. |
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| DOI: | 10.3842/umzh.v78i3-4.9254 |