Email this article Uniqueness of solution and well-posedness of the problem of determining the fastening parameters of a pipe containing flowing fluid
- Authors: Akhtyamov A.M.1,2, Safina G.F.3
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Affiliations:
- Bashkir State University
- Mavlyutov Institute of Mechanics, Ufa Scientific Center
- Neftekamsk Branch of Bashkir State University
- Issue: Vol 57, No 2 (2016)
- Pages: 219-230
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/159117
- DOI: https://doi.org/10.1134/S0021894416020048
- ID: 159117
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Abstract
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.
About the authors
A. M. Akhtyamov
Bashkir State University; Mavlyutov Institute of Mechanics, Ufa Scientific Center
Author for correspondence.
Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa, 450076; Ufa, 450054
G. F. Safina
Neftekamsk Branch of Bashkir State University
Email: AkhtyamovAM@mail.ru
Russian Federation, Neftekamsk, 452680
