Applications of Mathematics, Vol. 68, No. 1, pp. 15-33, 2023


Spectral estimates of vibration frequencies of anisotropic beams

Luca Sabatini

Received March 15, 2021.   Published online June 29, 2021.

Abstract:  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.
Keywords:  theory of beams; deformation of cross section; spectral geometry; comparison of spectra
Classification MSC:  74B05, 74K10, 35P15, 47A75


References:
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Affiliations:   Luca Sabatini, Dipartimento di Scienze di Base ed Applicate per l'Ingegneria, Università degli Stud di Roma "La Sapienza", Via Antonio Scarpa 16, 00161 Roma, Italy, email: luca.sabatini@sbai.uniroma1.it


 
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