(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Chełminski, Krzysztof; Höberg, Dietmar; Rott, Oliver
This paper deals with a new mathematical model to characterize the
interaction between machine and workpiece in a milling process. The model
consists of a harmonic oscillator equation for the dynamics of the cutter and
a linear thermoelastic workpiece model. The coupling through the cutting
force adds delay terms and further nonlinear effects. After a short
derivation of the governing equations it is shown that the complete system
admits a unique weak solution. A numerical solution strategy is outlined and
complemented by numerical simulations of stable and unstable cutting
conditions.
