The eigenvalue problem for networks of beams

被引：56

作者：

Dekoninck, B ^{[1
]}

Nicaise, S ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, MACS, F-59313 Valenciennes 9, France

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 314卷 / 1-3期

关键词：

D O I：

10.1016/S0024-3795(00)00118-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the spectral analysis of different models of networks of Euler-Bernoulli beams. We first give the characteristic equation for the spectrum. Secondly, in some particular situations, we show that the spectrum depends only on the structure of the graph. Thirdly, we investigate the asymptotic behaviour of the eigenvalues by proving the so-called Weyl's formula. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：165 / 189

页数：25

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