We study the spectrum of non-homogeneous partially hinged plates having structural engineering applications. A possible way to prevent instability phenomena is to maximize the ratio between the frequencies of certain oscillating modes with respect to the density function of the plate; we prove existence of optimal densities and we investigate their analytic expression. This analysis suggests where to locate reinforcing material within the plate; some numerical experiments give further information and support the theoretical results.
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates / Berchio, E.; Falocchi, A.. - In: JOURNAL OF SPECTRAL THEORY. - ISSN 1664-039X. - STAMPA. - 11:2(2021), pp. 743-780. [10.4171/JST/355]
Titolo: | Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates | |
Autori: | ||
Data di pubblicazione: | 2021 | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.4171/JST/355 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
---|---|---|---|---|
2021_BF2.pdf | Articolo principale | 2a Post-print versione editoriale / Version of Record | ![]() | Visibile a tuttiVisualizza/Apri |
befa_AAM.pdf | Articolo principale | 2. Post-print / Author's Accepted Manuscript | ![]() | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2928900