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]
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates
Berchio E.;Falocchi A.
2021
Abstract
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2928900