Strong localization induced by One clamped point in thin plate vibrations

Marcel Filoche, Svitlana Mayboroda

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

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
Volume103
Issue number25
DOIs
StatePublished - Dec 18 2009
Externally publishedYes

Fingerprint

Dive into the research topics of 'Strong localization induced by One clamped point in thin plate vibrations'. Together they form a unique fingerprint.

Cite this