WIAS Preprint No. 2364, (2016)

Discretisation and error analysis for a mathematical model of milling processes



Authors

  • Hömberg, Dietmar
  • Rott, Oliver
  • Sturm, Kevin

2010 Mathematics Subject Classification

  • 35Q74 65M15 74H15

Keywords

  • error estimates, high speed milling, finite elements

DOI

10.20347/WIAS.PREPRINT.2364

Abstract

We investigate a mathematical model for milling where the cutting tool dynamics is considered together with an elastic workpiece model. Both are coupled by the cutting forces consisting of two dynamic components representing vibrations of the tool and of the workpiece, respectively, at the present and previous tooth periods. We develop a numerical solution algorithm and derive error estimates both for the semi-discrete and the fully discrete numerical scheme. Numerical computations in the last section support the analytically derived error estimates.

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