A study of the eigenvalue sensitivity by homotopy and perturbation methods

被引：44

作者：

Sliva, G. ^{[1
]}

Brezillon, A. ^{[1
]}

Cadou, J. M. ^{[1
]}

Duigou, L. ^{[1
]}

机构：

[1] Univ Bretagne Sud, Ctr Rech LiMATB, Lab Ingn Mat Bretagne, Univ Europeenne Bretagne, F-56321 Lorient, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 07期

关键词：

Sensitivity of eigenvalue; Homotopy technique; Perturbation method; Vibration of plates; REANALYSIS;

D O I：

10.1016/j.cam.2009.08.086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the sensitivity to material characteristics of eigenvalues is studied. From an initial structure, some defects of material or/and geometry are introduced. A method is proposed to solve the new eigenvalue problem from the initial one without using classical techniques. This method is based on the association of a homotopy transformation and the perturbation method. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2297 / 2302

页数：6

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