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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2021 Issue 5(107), Pages 15–22 (Mi irj611)

PHYSICS AND MATHEMATICS

Restoration of the stiffness parameters of a two-segment beam, taking into account rigid attachment

G. F. Safina

Neftekamsk Branch of Bashkir State University

Abstract: The current study examines the inverse problem of diagnosing the stiffness parameters of flexural vibrations of a twosegment beam from known values of its vibration frequencies. The author of the study shows the uniqueness of the solution of the inverse problem as well as formulates and proves the corresponding theorem. The article introduces an algorithm for solving the problem that confirms the uniqueness of restoring the stiffness parameters of beam bearings, which is also applicable for the case of rigid attachment of the edges of a two-segment beam. The solution algorithm is confirmed by numerical examples.

Keywords: two-segment beam, oscillation frequencies, inverse spectral problem, parameter diagnostics.

DOI: 10.23670/IRJ.2021.107.5.003



© Steklov Math. Inst. of RAS, 2024