A Model of Joined Beams as Limit of a 2D Plate

作者:Gaudiello Antonio*; Zappale Elvira
来源:Journal of Elasticity, 2011, 103(2): 205-233.
DOI:10.1007/s10659-010-9281-6

摘要

In this paper, we consider an elastic multi-structure composed of two joined beams forming an angle alpha is an element of ]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.

  • 出版日期2011-4