Eigenvibrations of a beam with elastically attached load
- Авторы: Solov’ev S.1
-
Учреждения:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- Выпуск: Том 37, № 5 (2016)
- Страницы: 597-609
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198307
- DOI: https://doi.org/10.1134/S1995080216050115
- ID: 198307
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
S. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Автор, ответственный за переписку.
Email: sergei.solovyev@kpfu.ru
Россия, Kremlevskaya ul. 35, Kazan, 420008
![](/img/style/loading.gif)