Asymptotic Analysis of an L-Shaped Junction of Two Elastic Beams

被引：0
作者：
Nazarov S.A. [1 ,2 ,3 ]
Slutskij A.S. [1 ,3 ]
机构：
[1] St. Petersburg State University, St. Petersburg
[2] St. Petersburg State Polytechnical University, St. Petersburg
[3] Institute for Problems in Mechanical Engineering RAS, 61, Bolshoi pr. V.O., St. Petersburg
来源：
Journal of Mathematical Sciences | 2016年 / 216卷 / 2期
关键词：
D O I：
10.1007/s10958-016-2901-3
中图分类号：
学科分类号：
摘要：
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. © 2016, Springer Science+Business Media New York.
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页码：279 / 312
页数：33
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