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2009, 12

A. Akhtyamov, A. Ayupova

On solving the inverse problem of reconstruction of concentrated masses using natural frequencies of flexural vibrations

language: Russian

received 30.08.2009, published 12.10.2009

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ABSTRACT

The method of solving the inverse problem concerning the reconstruction and evaluation of physical properties of mechanical systems is considered in the paper. Known spectral data are in the basis of solution. The method allows to evaluate concentrated masses in a system with one degree of freedom using natural frequency of flexural vibrations.

Key words: nondestructive acoustic diagnostics, natural frequencies, concentrated masses.

4 pages

Сitation: A. Akhtyamov, A. Ayupova. On solving the inverse problem of reconstruction of concentrated masses using natural frequencies of flexural vibrations. Electronic Journal “Technical Acoustics”, http://www.ejta.org, 2009, 12.

REFERENCES

1. Ахтямов А. М. Диагностирование нагруженности механической системы. Приборы и системы. Управление, контроль, диагностика, №6, 2003, с. 51-52.
2. Прочность, устойчивость, колебания: Справочник. Т. 3 / Под. ред. И. А. Биргера и Я. Г. Пановко. М.: Машиностроение, 1968, 294 с.


 

Azamat Akhtyamov - doctor of physical and mathematical sciences, the leading researcher at Institute of Mechanics, Russian Academy of Sciences, Bashkiria, Ufa. Research interests: inverse problems in mechanics of deformable body, inverse spectral problems, mathematical methods in economy.

e-mail: AkhtyamovAM(at)mail.ru

 
 

Aigul Ayupova - assistant chair of the Mathematical Modeling Neftekamsk branch of the Bashkir State University. Research interests: inverse spectral problems.

e-mail: aigul9(at)yandex.ru