Asymptotic analysis of high frequency modes in thin rods

被引：7

作者：

Irago, H ^{[1
]}

Kerdid, N

Viano, JM

机构：

[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 10期

关键词：

D O I：

10.1016/S0764-4442(98)80238-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we show that a class of high frequency modes of the three-dimensional linearized elasticity system in a thin rod and their associated eigenfunctions converge, as the thickness of the rods goes to zero, and the limit model is a coupled one-dimensional problem giving the classical equations for torsion and stretching vibrations. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：1255 / 1260

页数：6

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