Spectral estimates of vibration frequencies of anisotropic beams
Applications of Mathematics (2023)
- Volume: 68, Issue: 1, page 15-33
- ISSN: 0862-7940
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topSabatini, Luca. "Spectral estimates of vibration frequencies of anisotropic beams." Applications of Mathematics 68.1 (2023): 15-33. <http://eudml.org/doc/299478>.
@article{Sabatini2023,
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.},
author = {Sabatini, Luca},
journal = {Applications of Mathematics},
keywords = {theory of beams; deformation of cross section; spectral geometry; comparison of spectra},
language = {eng},
number = {1},
pages = {15-33},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Spectral estimates of vibration frequencies of anisotropic beams},
url = {http://eudml.org/doc/299478},
volume = {68},
year = {2023},
}
TY - JOUR
AU - Sabatini, Luca
TI - Spectral estimates of vibration frequencies of anisotropic beams
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 1
SP - 15
EP - 33
AB - 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.
LA - eng
KW - theory of beams; deformation of cross section; spectral geometry; comparison of spectra
UR - http://eudml.org/doc/299478
ER -
References
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- Sabatini, L., 10.2478/auom-2019-0027, An. Ştiinţ. Univ. "Ovidius" Constanţa, Ser. Mat. 27 (2019), 179-211. (2019) MR3956406DOI10.2478/auom-2019-0027
- Sabatini, L., 10.2478/auom-2020-0012, An. Ştiinţ. Univ. "Ovidius" Constanţa, Ser. Mat. 28 (2020), 165-179. (2020) MR4089855DOI10.2478/auom-2020-0012
- Sabatini, L., 10.22124/jmm.2021.17932.1548, J. Math. Model. 9 (2021), 465-483. (2021) MR4275997DOI10.22124/jmm.2021.17932.1548
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