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On Bifurcation Analysis of Implicitly Given Functionals in the Theory of Elastic Stabilityстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Дата последнего поиска статьи во внешних источниках: 17 января 2018 г.
- Авторы: Banichuk Nikolay, Barsuk Alexander, Jeronen Juha, Neittaanmaki Pekka, Tuovinen Tero
- Сборник: MATHEMATICAL MODELING AND OPTIMIZATION OF COMPLEX STRUCTURES
- Серия: Computational Methods in Applied Sciences
- Том: 40
- Год издания: 2016
- Место издания: Jyvaskyla, FINLAND
- Первая страница: 175
- Последняя страница: 188
- DOI: 10.1007/978-3-319-23564-6_11
- Аннотация: In this paper, we analyze the stability and bifurcation of elastic systems using a general scheme developed for problems with implicitly given functionals. An asymptotic property for the behaviour of the natural frequency curves in the small vicinity of each bifurcation point is obtained for the considered class of systems. Two examples are given. First is the stability analysis of an axially moving elastic panel, with no external applied tension, performing transverse vibrations. The second is the free vibration problem of a stationary compressed panel. The approach is applicable to a class of problems in mechanics, for example in elasticity, aeroelasticity and axially moving materials (such as paper making or band saw blades).
- Добавил в систему: Левитин Александр Леонидович