Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells

被引：92

作者：

Duigou, L ^{[1
]}

Daya, E ^{[1
]}

Potier-Ferry, M ^{[1
]}

机构：

[1] Univ Metz, ISGMP, CNRS, UMR 7554,LPMM, F-57045 Metz 01, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 11-12期

关键词：

finite element method; non-linear eigenvalues; perturbation techniques; sandwich shells;

D O I：

10.1016/S0045-7825(02)00641-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, two numerical iterative algorithms are developed for the vibrations of damped sandwich structures. These methods associate homotopy, asymptotic numerical techniques and Pade approximants. The first one is a sort of high order Newton method and the second one uses a more or less arbitrary matrix. So one can determine the natural frequencies and the loss factors of viscoelastically damped sandwich structures. To assess their efficiency, a few sandwich beams and plates have been considered. The techniques can be applied to large scale structures, to large damping and to strongly non-linear viscoelastic modulus. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：1323 / 1335

页数：13

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