Analytical Prediction of Stability Lobes in Ball End Milling

[+] Author and Article Information
Y. Altıntaş, P. Lee

Department of Mechanical Engineering, The University of British Columbia, Vancouver, BC, Canada V6T 1Z4

E. Shamoto

The University of British Columbia, Kobe University, Japan

E. Budak

Pratt and Whitney Canada, Manufacturing Engineering Development, PQ, Canada

J. Manuf. Sci. Eng 121(4), 586-592 (Nov 01, 1999) (7 pages) doi:10.1115/1.2833064 History: Received March 01, 1996; Revised January 01, 1998; Online January 17, 2008


The paper presents an analytical method to predict stability lobes in ball end milling. Analytical expressions are based on the dynamics of ball end milling with regeneration in the uncut chip thickness, time varying directional factors and the interaction with the machine tool structure. The cutting force coefficients are derived from orthogonal cutting data base using oblique transformation method. The influence of cutting coefficients on the stability is investigated. A computationally efficient, an equivalent average cutting force coefficient method is developed for ball end milling. The prediction of stability lobes for ball end milling is reduced to the solution of a simple quadratic equation. The analytical results agree well with the experiments and the computationally expensive and complex numerical time domain simulations.

Copyright © 1999 by The American Society of Mechanical Engineers
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