On the spectrum and stiffness of an elastic body with surface stresses

被引：34

作者：

Altenbach, Holm ^{[1
]}

Eremeyev, Victor A. ^{[1
,2
,3
]}

Lebedev, Leonid P. ^{[4
]}

机构：

[1] Univ Halle Wittenberg, Zentrum Ingenieurwissensch, Lehrstuhl Tech Mech, D-06099 Halle, Saale, Germany

[2] RASci, S Sci Ctr, Rostov Na Donu 344090, Russia

[3] S Fed Univ, Rostov Na Donu 344090, Russia

[4] Univ Nacl Colombia, Bogota, Colombia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 09期

关键词：

Surface stresses; eigenfrequencies; energy spaces of Sobolev's type; Rayleigh variational principle; Courant's maximum-minimum principle; VIBRATION; TENSION;

D O I：

10.1002/zamm.201000214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mathematical investigation of the eigenvalue problems for elastic bodies including surface stresses is presented. Weak setup of the problems is based on the Rayleigh variational principle. Certain spectral properties are established for the problems under consideration. In particular, bounds for the eigenfrequencies of an elastic body with surface stresses are presented. These bounds demonstrate increases in both the rigidity of the body and of the eigenfrequencies over those of the body with surface stresses neglected. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：699 / 710

页数：12

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