October
14
2015
Written by  Erika

Analytical expressions for chatter analysis in milling operations with one dominant mode

In milling, an accurate prediction of chatter is still one of the most complex problems in the field. The presence of these self-excited vibrations can spoil the surface of the part and can also cause a large reduction in tool life. The stability diagrams provide a practical selection of the optimum cutting conditions determined either by time domain or frequency domain based methods. Applying these methods parametric or parameter traced representations of the linear stability limits can be achieved by solving the corresponding eigenvalue problems. In this work, new analytical formulae are proposed related to the parameter domains of both Hopf and period doubling type stability boundaries emerging in the regenerative mechanical model of time periodical milling processes. These formulae are useful to enrich and speed up the currently used numerical methods. Also, the destabilization mechanism of double period chatter is explained, creating an analogy with the chatter related to the Hopf bifurcation, considering one dominant mode and using concepts established by the Pioneers of chatter research.

 

  • a¬†Dynamics and Control, IK4-Ideko, 20870 Elgoibar, Basque Country, Spain
  • b¬†Department of Mechanical Engineering and Industrial Construction, Universitat de Girona, 17071 Girona, Spain
  • c¬†Deparment of Applied Mechanics, Budapest University of Technology and Economics, Budapest H-1521, Hungary
 Received 7 July 2015, Revised 12 April 2016, Accepted 14 April 2016, Available online 4 May 2016
Last modified on Tuesday, 20 September 2016 11:48
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