A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures

Authors
Daya, EM Potier-Ferry, M
Citation
Em. Daya et M. Potier-ferry, A numerical method for nonlinear eigenvalue problems application to vibrations of viscoelastic structures, COMPUT STRU, 79(5), 2001, pp. 533-541
Citations number
25
Categorie Soggetti
Civil Engineering
Journal title
COMPUTERS & STRUCTURES
ISSN journal
00457949 → ACNP
Volume
79
Issue
5
Year of publication
2001
Pages
533 - 541
Database
ISI
SICI code
0045-7949(200102)79:5<533:ANMFNE>2.0.ZU;2-H
Abstract
In this paper, a new numerical method for the exact solution of nonlinear e igenvalue problems is developed. This method associates homotopy and asympt otic numerical techniques and it is applied to determine the natural freque ncies and the loss factors of viscoelastically damped sandwich structures. The numerical predictions of the loss factor and the natural frequency are compared to analytical and experimental results. (C) 2001 Elsevier Science Ltd. All rights reserved.