2006. Vol. 4. Issue 1, Pp. 23–31
URL: https://multiphasesystems.online/uim2006.1.002,en
DOI: https://doi.org/10.21662/uim2006.1.002
URL: https://multiphasesystems.online/uim2006.1.002,en
DOI: https://doi.org/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.
Citation
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.
Keywords
the inverse problem,
the duality theorem