Symmetric Properties of Eigenvalues and Eigenfunctions of Uniform Beams

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Show simple item record Nurakhmetov, D. Jumabayev, S.A. Aniyarov, A. Kussainov, R. 2021-02-01T11:14:02Z 2021-02-01T11:14:02Z 2020-12
dc.description.abstract In this paper, the models of Euler–Bernoulli beams on the Winkler foundations are considered. The novelty of the research is in consideration of the models with an arbitrary variable coefficient of foundation. Qualitative results that influence the symmetry of the coefficient of foundation on the spectral properties of the corresponding problems are obtained, for which specific variable coefficients of foundation are tested using numerical calculations. Three types of fixing at the ends are studied: clamped-clamped, hinged-hinged and free-free. The conditions of the stiffness and types of beam fixing have been found for the set of eigenvalues of boundary value problems on a full segment and can be represented as two groups of the eigenvalues of certain problems on a half segment. Such qualitative spectral properties of a mechanical system can contribute to the creation of various algorithms for nondestructive testing, which are widely used in technical acoustics. en_US
dc.language.iso en en_US
dc.publisher Symmetry en_US
dc.subject Euler–Bernoulli beam en_US
dc.subject Winkler’s type foundation en_US
dc.subject eigenvalue; symmetry en_US
dc.title Symmetric Properties of Eigenvalues and Eigenfunctions of Uniform Beams en_US
dc.type Article en_US

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