Мақаланы E-mail арқылы жіберу Asymptotic structure of the spectrum of a thin Dirichlet single-tee beam
- Авторлар: Nazarov S.A.1
-
Мекемелер:
- Institute of Mechanical Engineering Problems of the Russian Academy of Sciences
- Шығарылым: Том 518, № 1 (2024)
- Беттер: 57-63
- Бөлім: МЕХАНИКА
- URL: https://cardiosomatics.ru/2686-7400/article/view/677507
- DOI: https://doi.org/10.31857/S2686740024050094
- EDN: https://elibrary.ru/HXJICG
- ID: 677507
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Аннотация
The asymptotic behaviour of eigenvalues and eigenfunctions of the Dirichlet problem for the Laplace operator in a tee-type junction of two thin parallelepiped plates is examined. The effect of a strong localization is observed for eigenfunctions near junction zones. Comparing with asymptotic results for analogous Neumann problem, the crucial difference between asymptotic behaviour of their spectra is observed.
Толық мәтін
Авторлар туралы
S. Nazarov
Institute of Mechanical Engineering Problems of the Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: srgnazarov@yahoo.co.uk
Ресей, Saint-Petersburg
Әдебиет тізімі
Қосымша файлдар
Қосымша файлдар
Әрекет
1.
JATS XML
2.
Fig. 1. Three-dimensional (a) and two-dimensional (b) articulations.
Жүктеу (48KB)
3.
Fig. 2. T-shaped waveguide (a). Half-strip with a beveled end (b) – letters D and N indicate the type of boundary condition on the sides and end.
Жүктеу (28KB)
4.
Fig. 3. Beveled single-T beam (a) and straight I-beam (b).
Жүктеу (52KB)
