SPECTRAL OPTIMIZATION OF INHOMOGENEOUS PLATES

E. Davoli, I. Mazari, U. Stefanelli

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

This article is devoted to the study of spectral optimization for inhomogeneous plates. In particular, we consider the optimization of the first eigenvalue of a vibrating plate with respect to its thickness and/or density. We prove the existence of an optimal thickness, using fine tools hinging on topological properties of rearrangement classes. In the case of a circular plate, we provide a characterization of this optimal thickness by means of Talenti inequalities. Moreover, we prove a stability result when assuming that the thickness and the density of the plate are linearly related. This proof relies on H-convergence tools applied to the biharmonic operator.

OriginalspracheEnglisch
Seiten (von - bis)852-871
Seitenumfang20
FachzeitschriftSIAM Journal on Control and Optimization
Jahrgang61
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - Apr. 2023

ÖFOS 2012

  • 101002 Analysis

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