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

In this paper, a new numerical method for the exact solution of nonlinear eigenvalue problems is developed. This method associates homotopy and asymptotic numerical techniques and it is applied to determine the natural frequencies and the loss factors of viscoelastically damped sandwich structures....

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Bibliographic Details
Published inComputers & structures Vol. 79; no. 5; pp. 533 - 541
Main Authors Daya, E.M., Potier-Ferry, M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2001
Subjects
Finite element method
Homotopy
Nonlinear eigenvalues
Perturbation technique
Sandwich structures
Vibrations
Viscoelasticity
Finite element method
Vibrations
Viscoelasticity
Perturbation technique
Nonlinear eigenvalues
Homotopy
Sandwich structures
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Summary:In this paper, a new numerical method for the exact solution of nonlinear eigenvalue problems is developed. This method associates homotopy and asymptotic numerical techniques and it is applied to determine the natural frequencies 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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/S0045-7949(00)00151-6