A Stability Algorithm for the General Milling Process: Contribution to Machine Tool Chatter Research—7

[+] Author and Article Information
R. Sridhar

Department of Electrical Engineering, California Institute of Technology, Pasadena, Calif.

R. E. Hohn, G. W. Long

Product Development Department, The Cincinnati Milling Machine Co., Cincinnati, Ohio

J. Eng. Ind 90(2), 330-334 (May 01, 1968) (5 pages) doi:10.1115/1.3604637 History: Received July 14, 1967; Online August 25, 2011


In this paper, a method of stability analysis for the general milling process is given. The milling operation is described by a linear differential-difference equation with periodic coefficients. An algorithm which can be used in conjunction with the digital computer is developed as a means of analytically determining the stability of this equation. This algorithm will permit the determination of the stability boundaries in the space of controllable parameters associated with a cutting operation and allows more realistic models for milling to be studied than have been attempted up to the present time. The technique is used to predict the stability in an example of a milling operation.

Copyright © 1968 by ASME
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