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., Safina G.F. On the duality of the solution of the problem of finding the relative rigidity of the elastic edge edges of a cylindrical shell with respect to two eigenfrequencies of its axisymmetric oscillations Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 4 (2006). 23–31.

2006. Vol. 4. Issue 1, Pp. 23–31
URL: http://proc.uimech.org/uim2006.1.002
DOI: 10.21662/uim2006.1.002

On the duality of the solution of the problem of finding the relative rigidity of the elastic edge edges of a cylindrical shell with respect to two eigenfrequencies of its axisymmetric oscillations

Akhtyamov A.M., Safina G.F.

Institute of Mechanics, Ufa

Abstract

We consider the inverse problem of finding the relative rigidity of elastic edge edges of a cylindrical shell that is inaccessible to visual inspection, by two natural frequencies of its axisymmetric vibrations. A theorem on the duality of the solution of this inverse problem is proved. The corresponding counterexamples are given.

Keywords

the inverse problem,
the duality theorem