Uniqueness of solution and well-posedness of the problem of determining the fastening parameters of a pipe containing flowing fluid
- Авторы: Akhtyamov A.1,2, Safina G.3
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Учреждения:
- Bashkir State University
- Mavlyutov Institute of Mechanics, Ufa Scientific Center
- Neftekamsk Branch of Bashkir State University
- Выпуск: Том 57, № 2 (2016)
- Страницы: 219-230
- Раздел: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159117
- DOI: https://doi.org/10.1134/S0021894416020048
- ID: 159117
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Аннотация
The inverse problem of determining the type and parameters of fastening of the pipe ends from the natural frequencies of the pipe flexural vibrations is formulated and solved for the case of fluid flowing through the pipe. The uniqueness of the solution of the problem is proved, and the Tikhonov well-posedness of the problem is shown. A method for solving the inverse problem is proposed, and examples of the solution are given.
Об авторах
A. Akhtyamov
Bashkir State University; Mavlyutov Institute of Mechanics, Ufa Scientific Center
Автор, ответственный за переписку.
Email: AkhtyamovAM@mail.ru
Россия, Ufa, 450076; Ufa, 450054
G. Safina
Neftekamsk Branch of Bashkir State University
Email: AkhtyamovAM@mail.ru
Россия, Neftekamsk, 452680