Email this article Eigenvibrations of a beam with elastically attached load
- Authors: Solov’ev S.I.1
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Affiliations:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- Issue: Vol 37, No 5 (2016)
- Pages: 597-609
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198307
- DOI: https://doi.org/10.1134/S1995080216050115
- ID: 198307
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Abstract
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.
About the authors
S. I. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: sergei.solovyev@kpfu.ru
Russian Federation, Kremlevskaya ul. 35, Kazan, 420008
