Eigenvibrations of a beam with elastically attached load
- 作者: Solov’ev S.1
-
隶属关系:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- 期: 卷 37, 编号 5 (2016)
- 页面: 597-609
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198307
- DOI: https://doi.org/10.1134/S1995080216050115
- ID: 198307
如何引用文章
详细
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.
作者简介
S. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
编辑信件的主要联系方式.
Email: sergei.solovyev@kpfu.ru
俄罗斯联邦, Kremlevskaya ul. 35, Kazan, 420008