Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Akhtyamov A.M., Nikolayenko V.V. On the possibility of determining the type of the beam fastening by its natural frequencies Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 3 (2003). 11–20.

2003. Vol. 3. Issue 1, Pp. 11–20
URL: http://proc.uimech.org/uim2003.1.001
DOI: 10.21662/uim2003.1.001

On the possibility of determining the type of the beam fastening by its natural frequencies

Akhtyamov A.M., Nikolayenko V.V.

Bashkir State University, Ufa
Institute of Mechanics, Ufa

Abstract

We consider the inverse problem of finding the character of fastening for one of the ends of a beam that is inaccessible to direct observation, by the natural frequencies of its bending vibrations. The uniqueness theorem for the solution of this inverse problem is proved. The corresponding counterexamples are given.

Keywords

natural frequencies,
fastening of a beam