Eigenvibrations of a beam with load
- Authors: Samsonov A.A.1, Solov’ev S.I.1
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Affiliations:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- Issue: Vol 38, No 5 (2017)
- Pages: 849-855
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199876
- DOI: https://doi.org/10.1134/S1995080217050298
- ID: 199876
Cite item
Abstract
The eigenvalue problem describing eigenvibrations of a beam with load is investigated. The problem has an increasing sequence of positive simple eigenvalues with limit point at infinity. To the sequence of eigenvalues, there corresponds a system of normalized eigenfunctions. Limit properties of eigenvalues and eigenfunctions are studied.
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About the authors
A. A. Samsonov
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Author for correspondence.
Email: anton.samsonov.kpfu@mail.ru
Russian Federation, Kazan, 420008
S. I. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Email: anton.samsonov.kpfu@mail.ru
Russian Federation, Kazan, 420008