Strong Localization Induced by One Clamped Point in Thin Plate Vibrations

被引：33

作者：

Filoche, Marcel ^{[1
,3
]}

Mayboroda, Svitlana ^{[2
]}

机构：

[1] Ecole Polytech, CNRS, F-91128 Palaiseau, France

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[3] CNRS, ENS Cachan, CMLA, F-94230 Cachan, France

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 25期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.103.254301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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