Strong localization induced by One clamped point in thin plate vibrations

Marcel Filoche, Svitlana Mayboroda

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23 Scopus citations


We discover a strong localization of flexural (bi-Laplacian) waves in rigid thin plates. We show that clamping just one point inside such a plate not only perturbs its spectral properties, but essentially divides the plate into two independently vibrating regions. This effect progressively appears when increasing the plate eccentricity. Such a localization is qualitatively and quantitatively different from the results known for the Laplacian waves in domains of irregular boundary. It would allow us to control the confinement of mechanical vibrations in rigid plates and of eddies in the slow Stokes flow.

Original languageEnglish (US)
Article number254301
JournalPhysical review letters
Issue number25
StatePublished - Dec 18 2009
Externally publishedYes

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