Identification of fixedness and loading of an end of the Euler–Bernoulli beam by the natural frequencies of its vibrations
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Publication:5269163
DOI10.1134/S199047891701001XzbMath1374.74067MaRDI QIDQ5269163
A. A. Aitbayeva, Azamat M. Akhtyamov
Publication date: 15 June 2017
Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)
beaminverse problemeigenvaluesnatural frequenciesconcentrated inertia elementrigidity coefficient of spring
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) System identification (93B30) 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)
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Cites Work
- Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
- Finite-difference proof of the completeness of eigenfunctions of the Sturm-Liouville operator in conservative form
- On the weighted space of entire functions in \(\mathbb C^n\)
- On the determination of loading and fixing for one end of a rod according to its natural frequencies of oscillation
- Determination of the parameters of a rigid body clamped at an end of a beam from the natural frequencies of vibrations
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