In this paper, we consider an elastic multi-structure composed of two joined beams forming an angle $alpha in ]0, pi/2]$ at the junction, clamped at the three extremities and submitted to forces transverse to the plane containing the skeleton of the multi-structure. We derive the equilibrium configuration of the transverse displacement and the torsional rotation of the multi-structure, via an asymptotic analysis based on a dimensional reduction of a Kirchhoff-Love plate. More generally, we obtain the equilibrium configuration of the transverse displacement and the torsional rotation of a multi-structure whose skeleton is composed of a line and a planar curve joined together.

A model of joined beams as limit of a 2D plate / Gaudiello, A; Zappale, Elvira. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 103:(2011), pp. 205-233. [10.1007/s10659-010-9281-6]

A model of joined beams as limit of a 2D plate

ZAPPALE, ELVIRA
2011

Abstract

In this paper, we consider an elastic multi-structure composed of two joined beams forming an angle $alpha in ]0, pi/2]$ at the junction, clamped at the three extremities and submitted to forces transverse to the plane containing the skeleton of the multi-structure. We derive the equilibrium configuration of the transverse displacement and the torsional rotation of the multi-structure, via an asymptotic analysis based on a dimensional reduction of a Kirchhoff-Love plate. More generally, we obtain the equilibrium configuration of the transverse displacement and the torsional rotation of a multi-structure whose skeleton is composed of a line and a planar curve joined together.
2011
Beam · Junction · Dimension reduction · -convergence
01 Pubblicazione su rivista::01a Articolo in rivista
A model of joined beams as limit of a 2D plate / Gaudiello, A; Zappale, Elvira. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 103:(2011), pp. 205-233. [10.1007/s10659-010-9281-6]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1458164
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