Nonlinear Dynamics

, Volume 21, Issue 1, pp 55–70 | Cite as

Bending Boundary Layers in a Moving Strip

  • D.M. Stump
  • W.B. Fraser

Abstract

The high-speed transport of thin-sheet materials occurs in avariety of industrial processes. In this paper the method of matchedasymptotic expansions is used to solve the low tension, large-deflectionshape of a convected strip hanging under gravity. To leading order theequations for the deflection in the boundary layer and in the centre ofthe span are nonlinear. Previous treatments of this problem have notaccurately solved the leading-order equation within the boundary layer.The composite analytic solution of the full nonlinear equation isobtained and compares well with numerical solutions.

matched asymptotic expansions boundary layers catenary planar rods 

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • D.M. Stump
    • 1
  • W.B. Fraser
    • 2
  1. 1.Department of MathematicsThe University of QueenslandSt. LuciaAustralia
  2. 2.School of Mathematics and StatisticsThe University of SyndeySydneyAustralia

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