Enviar artigo por via de e-mail Eigenvibrations of a beam with elastically attached load
- Autores: Solov’ev S.1
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Afiliações:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- Edição: Volume 37, Nº 5 (2016)
- Páginas: 597-609
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198307
- DOI: https://doi.org/10.1134/S1995080216050115
- ID: 198307
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Resumo
The nonlinear eigenvalue problem describing eigenvibrations of a beam with elastically attached load is investigated. The existence of an increasing sequence of positive simple eigenvalues with limit point at infinity is established. To the sequence of eigenvalues, there corresponds a system of normalized eigenfunctions. The problem is approximated by the finite element method with Hermite finite elements of arbitrary order. The convergence and accuracy of approximate eigenvalues and eigenfunctions are investigated.
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Sobre autores
S. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Autor responsável pela correspondência
Email: sergei.solovyev@kpfu.ru
Rússia, Kremlevskaya ul. 35, Kazan, 420008
