Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates
Elvise Berchio
Polytechnic University of Turin, ItalyAlessio Falocchi
Polytechnic University of Turin, Italy
![Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jst-volume-11-issue-2.png&w=3840&q=90)
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.
Cite this article
Elvise Berchio, Alessio Falocchi, Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates. J. Spectr. Theory 11 (2021), no. 2, pp. 743–780
DOI 10.4171/JST/355