A System Theory Approach to Mode Coupling Chatter in Machining

[+] Author and Article Information
Alessandro Gasparetto

DIEGM-Dipartimento di Ingegneria Elettrica, Gestionale Meccanica, Università di Udine, Udine 33100, Italy

J. Dyn. Sys., Meas., Control 120(4), 545-547 (Dec 01, 1998) (3 pages) doi:10.1115/1.2801501 History: Received June 03, 1996; Online December 03, 2007


Chatter is an undesired phenomenon of self-excited vibrations that occurs during many machining operations. This paper analyzes mode coupling chatter from the point-of-view of the system theory. A simplified mathematical model of the cutting process is established, from which the equations of the system are obtained. Then, the eigenvalues and the eigenvectors of the system are evaluated, and a simple stability condition is formulated. The tool trajectories both in the stable and unstable case are studied. Finally, an example of mode coupling chatter in a machine for wood cutting and its stabilization is presented.

Copyright © 1998 by The American Society of Mechanical Engineers
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