Email this article 
Asymptotic structure of the spectrum of a thin Dirichlet single-tee beam
- Authors: Nazarov S.A.1
-
Affiliations:
- Institute of Mechanical Engineering Problems of the Russian Academy of Sciences
- Issue: Vol 518, No 1 (2024)
- Pages: 57-63
- Section: МЕХАНИКА
- URL: https://genescells.com/2686-7400/article/view/677507
- DOI: https://doi.org/10.31857/S2686740024050094
- EDN: https://elibrary.ru/HXJICG
- ID: 677507
Cite item
Open Access
Access granted
Abstract
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.
Full Text
About the authors
S. A. Nazarov
Institute of Mechanical Engineering Problems of the Russian Academy of Sciences
Author for correspondence.
Email: srgnazarov@yahoo.co.uk
Russian Federation, Saint-Petersburg
References
Supplementary files
Supplementary Files
Action
1.
JATS XML
2.
Fig. 1. Three-dimensional (a) and two-dimensional (b) articulations.
Download (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.
Download (28KB)
4.
Fig. 3. Beveled single-T beam (a) and straight I-beam (b).
Download (52KB)
