Computational Stability Analysis of Chatter in Turning

[+] Author and Article Information
S.-G. Chen, A. G. Ulsoy, Y. Koren

Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109

J. Manuf. Sci. Eng 119(4A), 457-460 (Nov 01, 1997) (4 pages) doi:10.1115/1.2831174 History: Received February 01, 1994; Revised July 01, 1996; Online January 17, 2008


Machine tool chatter is one of the major constraints that limits productivity of the turning process. It is a self-excited vibration that is mainly caused by the interaction between the machine-tool/workpiece structure and the cutting process dynamics. This work introduces a general method which avoids lengthy algebraic (symbolic) manipulations in deriving, a characteristic equation. The solution scheme is simple and robust since the characteristic equation is numerically formulated as a single variable equation whose variable is well bounded rather than two nonlinear algebraic equations with unbounded variables. An asymptotic stability index is also introduced for a relative stability analysis. The method can be applied to other machining processes, as long as the system equations can be expressed as a set of linear time invariant difference-differential equations.

Copyright © 1997 by The American Society of Mechanical Engineers
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