Geodesic
Spectral estimates of vibration frequencies of anisotropic beams
Applications of Mathematics, Tome 68 (2023) no. 1, pp. 15-33.

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The use of one theorem of spectral analysis proved by Bordoni on a model of linear anisotropic beam proposed by the author allows the determination of the variation range of vibration frequencies of a beam in two typical restraint conditions. The proposed method is very general and allows its use on a very wide set of problems of engineering practice and mathematical physics.
DOI : 10.21136/AM.2021.0057-21
Classification : 35P15, 47A75, 74B05, 74K10
Keywords: theory of beams; deformation of cross section; spectral geometry; comparison of spectra 
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Sabatini, Luca. Spectral estimates of vibration frequencies of anisotropic beams. Applications of Mathematics, Tome 68 (2023) no. 1, pp. 15-33. doi : 10.21136/AM.2021.0057-21. http://geodesic.mathdoc.fr/articles/10.21136/AM.2021.0057-21/

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