DOI

We present a 1-D model of a junction of five thin elastic rods forming the shape of a bit brace (hand drill), or, a crankshaft. The distinguishing feature of this junction is the existence of the so-called movable elements, which are rods and knots requiring modifications of the classical asymptotic ansätze. These consist of constant longitudinal displacements on the edges of the skeleton of the junction and affect the transmission conditions at its nodes. We provide asymptotic formulas for the displacements, stresses and elastic energy, as well as error estimates. An exact solution of the model is given for a particular loading.

Original languageEnglish
Article numbere201900227
Number of pages11
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume100
Issue number1
DOIs
StatePublished - 1 Jan 2020

    Scopus subject areas

  • Computational Mechanics
  • Applied Mathematics

    Research areas

  • asymptotic analysis, junction, Korn inequality, thin elastic rod, variational formulation

ID: 60873637