Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams
- Авторы: Nazarov S.1,2,3, Slutskij A.1,3
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Учреждения:
- St. Petersburg State University
- St. Petersburg State Polytechnical University
- Institute for Problems in Mechanical Engineering RAS
- Выпуск: Том 216, № 2 (2016)
- Страницы: 279-312
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237796
- DOI: https://doi.org/10.1007/s10958-016-2901-3
- ID: 237796
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Аннотация
We propose a one-dimensional asymptotic model of an L-shaped junction of two thin two-dimensional elastic beams subject to boundary conditions of different type at external bean ends. The beams are described by standard systems of the Kirchhoff ordinary differential equations, whereas the transmission conditions on coincident (internal) nodes essentially depend on the type of boundary conditions on the external beam ends. The transmission conditions are obtained by analyzing the boundary layer near internal nodes. The asymptotics is justified with the help of a weighted anisotropic Korn inequality.
Об авторах
S. Nazarov
St. Petersburg State University; St. Petersburg State Polytechnical University; Institute for Problems in Mechanical Engineering RAS
Автор, ответственный за переписку.
Email: s.nazarov@spbu.ru
Россия, St. Petersburg; St. Petersburg; 61, Bolshoi pr. V.O., St. Petersburg, 199178
A. Slutskij
St. Petersburg State University; Institute for Problems in Mechanical Engineering RAS
Email: s.nazarov@spbu.ru
Россия, St. Petersburg; 61, Bolshoi pr. V.O., St. Petersburg, 199178