Analytical Stability Prediction and Design of Variable Pitch Cutters

[+] Author and Article Information
Y. Altıntaş, S. Engin

The University of British Columbia, Department of Mechanical Engineering, Manufacturing Automation Laboratory, Vancouver, B.C. Canada V6T 1Z4

E. Budak

Pratt & Whitney Canada, Longueuil, Quebec, Canada J4G 1A1

J. Manuf. Sci. Eng 121(2), 173-178 (May 01, 1999) (6 pages) doi:10.1115/1.2831201 History: Received October 01, 1997; Revised July 01, 1998; Online January 17, 2008


An analytical prediction of stability lobes for milling cutters with variable pitch angles is presented. The method requires cutting constants, number of teeth, and transfer function of cutter mounted on the machine tool as inputs to a chatter stability expression. The stability is formulated by transforming time varying directional cutting constants into time invariant constants. Constant regenerative time delay in uniform cutters is transformed into nonuniform multiple regenerative time delay for variable pitch cutters. The chatter free axial depth of cut is solved from the eigenvalues of stability expression, whereas the spindle speed is identified from regenerative phase delays. The proposed technique has been verified with extensive cutting tests and time domain simulations. The practical use of the analytical solution is demonstrated by an optimal tooth spacing design application which increases the chatter free depth of cuts significantly.

Copyright © 1999 by The American Society of Mechanical Engineers
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