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.
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页码：2297 / 2302
页数：6
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