Edge resonance in an elastic semi-strip

被引：41

作者：

Roitberg, I

Vassiliev, D

Weidl, T

机构：

[1] Chernigov State Pedag Inst, Dept Math Anal, UA-250038 Chernigov, Ukraine

[2] Univ Sussex, Sch Math Sci, Brighton BN1 9QH, E Sussex, England

[3] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 1998年 / 51卷

关键词：

D O I：

10.1093/qjmam/51.1.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the elasticity operator in a semi-strip subject to free boundary conditions. In the case of zero Poisson ratio we prove the existence of a positive eigenvalue embedded in the essential spectrum. Physically, the eigenvalue corresponds to a 'trapped mode', that is, a harmonic oscillation of the semi-strip localized near the edge. This effect, known in mechanics as the 'edge resonance', has been extensively studied numerically and experimentally. Our result provides a mathematical justification.

引用

页码：1 / 13

页数：13

共 25 条

[11]

Gol'denveizer A L., 1961, Theory of Elastic Thin Shells

[12] THE REFLECTION OF A SYMMETRIC RAYLEIGH-LAMB WAVE AT THE FIXED OR FREE EDGE OF A PLATE [J].