 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Aitbayeva and A.M. Akhtyamov, "Uniqueness of determination of the type of the boundary conditions at one end of a beam from three natural frequencies of its vibrations," J. Appl. Math. Mech. 80 (3), 273-277 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
3 |
Pages |
273-277 |
| DOI |
10.1016/j.jappmathmech.2016.07.006 |
| Title |
Uniqueness of determination of the type of the boundary conditions at one end of a beam from three natural frequencies of its vibrations |
| Author(s) |
A.A. Aitbayeva (Bashkir State University, Ufa, Russia, phunakoshi@mail.ru)
A.M. Akhtyamov (Bashkir State University, R. R. Mavlyutov Institute of Mechanics, Ufa Scientific Centre, Russian Academy of Sciences, Ufa, Russia, akhtyamovam@mail.ru) |
| Abstract |
The problem of identification of the type and coefficients of the Euler-Bernoulli boundary conditions at one end of a beam is considered. It is shown that three natural frequencies uniquely determine not only the coefficients of a boundary condition of definite type, but also the type of boundary condition that can be realized from the following set: clamping, free support, free end, floating clamping, elastic clamping, inertial element at the end. A method for solving this inverse problem is proposed and corresponding examples and counter-examples are given. |
| Received |
14 August 2015 |
| Link to Fulltext |
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