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Mathematical Problems in Engineering
Volume 2013, Article ID 932013, 11 pages
Research Article

Stability Prediction of Milling Process with Variable Pitch Cutter

1School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
2Tianjin Key Laboratory of Nonlinear Dynamics and Chaos Control, Tianjin 300072, China
3School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China

Received 4 November 2012; Revised 25 February 2013; Accepted 25 February 2013

Academic Editor: Alexander Pogromsky

Copyright © 2013 Gang Jin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The use of variable pitch cutter is a known means to increase the stable limit depth of cut by disrupting the regenerative effect. In this paper, an improved semidiscretization algorithm is presented to predict the stability lobes for variable pitch cutters. Modeling efforts develop a straightforward analytical integral force model that can cover any case of piecewise continuous cutting regions regarding the helix angle. The proposed approach has been verified with the comparisons with prior works, time domain simulations, and cutting tests. In addition, the method is also applied to examine the effect of the tool geometries on the stability trends for variable pitch milling. Some new phenomena for certain combinations of parameters are shown and explained.