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Russian Academy of Sciences
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IssuesArchive of Issues2016-3pp.273-277

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Total articles in the database: 1813
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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 http://www.sciencedirect.com/science/article/pii/S0021892816300934
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