ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

Download article

To the proof of uniqueness of the decision of return tasks of the flexural to pipe fluctuations with proceeding liquid

G.F. Safina1

AnnotationIn work are considered a direct task on to determination of frequencies of flexural fluctuations of a narrow pipe from the incompressible liquid and return problem of diagnosing of parameters of fixing pipes with proceeding liquid on own frequencies of its flexural fluctuations. Theorems of uniqueness of determination of parameters elastic are proved pipe fixing in case of liquid course on it. It is established, that in case of liquid course on the pipeline it is necessary use from a range of frequencies of fluctuations of 14 values for determination of parameters of elastic fixing of a pipe. Methods are developed restoration of four regional conditions of a return task. Are provided examples
Keywordspipe with proceeding liquid, frequencies of fluctuations, regional conditions, parameters of elastic fixing, task diagnosings, uniqueness of the decision.

1Associate professor of mathematical modeling and information security of Neftekamsk branch The Bashkir state university, Neftekamsk; Safinagf@mail.ru

Citation: G.F. Safina, "[To the proof of uniqueness of the decision of return tasks of the flexural to pipe fluctuations with proceeding liquid]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:2 (2012) 105–117 (In Russian)