Governing Equations of the Shear Angle Oscillation in Dynamic Orthogonal Cutting

[+] Author and Article Information
D. William Wu

University of Illinois at Chicago, Chicago, Ill. 60680

J. Eng. Ind 108(4), 280-287 (Nov 01, 1986) (8 pages) doi:10.1115/1.3187078 History: Received November 21, 1984; Online July 30, 2009


Chatter is a complex physical process in machining. One of the practical ways of modeling its transfer behavior is to derive the force functions theoretically from the substance of steady state cutting. This often requires a knowledge about the shear angle variation during the process. This paper presents a new method of modeling the angular oscillation in dynamic orthogonal cutting. The system governing equations were derived based on the work-hardening slip-line field theory in cutting mechanics by taking into account the changes of stress conditions on both the shear plane and the tool-chip interface. The result of a simulation study conducted for a wide range of cutting conditions has shown a very good agreement between the theoretical predictions and the existing experimental evidence.

Copyright © 1986 by ASME
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