The asymptotic analysis of a junction of two elastic beams

Günter R. Leugering, С. А. Назаров, Andrey Semenovich Slutskij · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2018

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.

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