Email this article Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams
- Authors: Nazarov S.A.1,2,3, Slutskij A.S.1,3
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Affiliations:
- St. Petersburg State University
- St. Petersburg State Polytechnical University
- Institute for Problems in Mechanical Engineering RAS
- Issue: Vol 216, No 2 (2016)
- Pages: 279-312
- Section: 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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Abstract
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.
About the authors
S. A. Nazarov
St. Petersburg State University; St. Petersburg State Polytechnical University; Institute for Problems in Mechanical Engineering RAS
Author for correspondence.
Email: s.nazarov@spbu.ru
Russian Federation, St. Petersburg; St. Petersburg; 61, Bolshoi pr. V.O., St. Petersburg, 199178
A. S. Slutskij
St. Petersburg State University; Institute for Problems in Mechanical Engineering RAS
Email: s.nazarov@spbu.ru
Russian Federation, St. Petersburg; 61, Bolshoi pr. V.O., St. Petersburg, 199178
