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The asymptotic analysis of a junction of two elastic beams
Author(s) -
Leugering G.,
Nazarov S. A.,
Slutskij A. S.
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700192
Subject(s) - planar , beam (structure) , asymptotic analysis , zero (linguistics) , transmission (telecommunications) , finite element method , physics , mathematical analysis , structural engineering , classical mechanics , materials science , mathematics , optics , computer science , engineering , telecommunications , linguistics , philosophy , computer graphics (images)
Abstract This paper is devoted to describing the asymptotic behavior of a structure consisting of thin elastic planar beams coupled at flexible joints. As the thickness of the beams tends to zero, we establish classical 1‐D beam equations for each individual structural element and transmission conditions across the joints.