Chaotic Vibration of a Simple Model of the Machine Tool-Cutting Process System

[+] Author and Article Information
M. Wiercigroch

Department of Engineering, University of Aberdeen, King’s College, Aberdeen AB9 2UE, UK

J. Vib. Acoust 119(3), 468-475 (Jul 01, 1997) (8 pages) doi:10.1115/1.2889747 History: Received September 01, 1994; Revised November 01, 1995; Online February 26, 2008


A study on a simple model of the machine tool—cutting process system is presented. As the system is non-linear and discontinuous, and exhibits intermittent cutting, non-linear dynamics techniques such as constructing bifurcation diagrams and Poincaré maps were employed to ascertain a quality of motion. Untypical routes to chaos and unusual topology of Poincaré sections were observed. New phenomena such as unidirectional bifurcation and births and deaths of periodic solutions were detected. It was also found out that the dynamic responses of the analysed system can be most effectively controlled by a magnitude of the cutting force.

Copyright © 1997 by The American Society of Mechanical Engineers
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