Determination of the parameters of a rigid body clamped at an end of a beam from the natural frequencies of vibrations

DOI10.1134/S1990478910010011zbMath1224.34016OpenAlexW2034169697MaRDI QIDQ3005518

S. F. Urmancheev, Azamat M. Akhtyamov

Publication date: 8 June 2011

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478910010011

zbMATH Keywords

Timoshenko beaminverse problemboundary conditionnatural frequency

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55)

Related Items (2)

Existence of a differential realization of a dynamical system in a Banach space in the constructions of extensions to \(M_p\)-operators ⋮ Identification of fixedness and loading of an end of the Euler–Bernoulli beam by the natural frequencies of its vibrations

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