On a thermomechanical milling model
Krzysztof Chełmiński , Dietmar Hömberg , Oliver Rott
AbstractThis 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.
|Journal series||Nonlinear Analysis-Real World Applications, ISSN 1468-1218, (A 40 pkt)|
|Keywords in English||Delay differential equations, Process-structure interaction, stability, Thermo-elasticity, Workpiece effects|
|ASJC Classification||; ; ; ; ;|
|Publication indicators||= 3; = 2; : 2014 = 1.936; : 2011 = 2.043 (2) - 2011=1.971 (5)|
|Citation count*||4 (2015-02-15)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.