Eigenvibrations of a beam with elastically attached load
- Авторлар: Solov’ev S.1
-
Мекемелер:
- Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
- Шығарылым: Том 37, № 5 (2016)
- Беттер: 597-609
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198307
- DOI: https://doi.org/10.1134/S1995080216050115
- ID: 198307
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
S. Solov’ev
Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies
Хат алмасуға жауапты Автор.
Email: sergei.solovyev@kpfu.ru
Ресей, Kremlevskaya ul. 35, Kazan, 420008