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

Middle Volga Mathematical Society Journal

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On solving the problem of diagnosing defects in a small cavity in the rod.

A. M. Akhtyamov1, A. R. Aupova2

AnnotationThe article proposes a method that allows calculate the location and volume of two cavities in the rod on natural frequencies of flexural vibrations. The case hinged ends of the rod. The cavity is modeled negative concentrated mass.
Keywordsvibrodiagnostics, rod, cavity, eigenfrequencies.

1Senior Researcher of Mechanics Laboratory, of Institute of Mechanics of Ufa Research Center; AkhtyamovAM@mail.ru

2 Senior lecturer of the mathematical modeling chair, Neftekamsky branch of the Bashkir State University, Neftekamsk; aigul9@yandex.ru

Citation: A. M. Akhtyamov,A. R. Aupova, "[On solving the problem of diagnosing defects in a small cavity in the rod.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:3 (2010) 37–42 (In Russian)