Edge and interfacial vibrations in elastic shells of revolution

被引：11

作者：

Kaplunov, JD

Wilde, MV

机构：

[1] Russian Acad Sci, Inst Problems Mech, Moscow 117526, Russia

[2] Saratov State Univ, Dept Math Theory Eleast & Biomech, Saratov 410601, Russia

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2000年 / 51卷 / 04期

关键词：

shell; edge; interface; vibration; asymptotic;

D O I：

10.1007/s000330050015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Edge vibrations of a semi-infinite shell of revolution and interfacial vibrations of a longitudinally inhomogeneous infinite shell of revolution are considered. Localization of bending and extensional modes is analyzed on the basis of the Kirchhoff-Love theory. The effect of small radiation to infinity is involved. A link between localized vibrations and Rayleigh-type and Stonely-type waves is revealed. The asymptotic formulae for natural fi frequencies, including their imaginary parts associated with radiation, are derived. Mathematics Subject Classification (2000). 73D30 Linens vibrations (Mechanics of solids).

引用

页码：530 / 549

页数：20

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