Abstract

VELA-MARTINEZ, Luciano et al. Modeling of Machining Processes for Predictive Analysis of Self-excited Vibrations. Ingenier. mecáni. tecnolog. desarroll [online]. 2008, vol.3, n.1, pp.1-9. ISSN 1665-7381.

Chatter is a condition of instability that limits productivity of machining processes. This phenomenon was classified as a self-excited vibration problem; therefore, it has been studied under linear and nonlinear approaches. Even though regeneration theory and linear time delay models are the most widely accepted explanation of chatter, nonlinear effects of the process are disregarded. The nonlinear effects are characterized by the presence of limit cycles, the jump phenomenon, subcritical Hopf and period doubling bifurcations. Experimental results showed that nonlinear behavior can be represented by both structural and regenerative nonlinear terms; even though characterization of these nonlinear terms is under discussion. In this work, a review of the most outstanding models based on both linear and nonlinear approaches is presented. Additionally, predictive analysis of chatter for typical machining operations is also performed. It can be seen that a linear analysis is enough to obtain a good approach of stability conditions; however, nonlinear analysis is necessary to enhance productivity near unstable machining conditions.

Keywords : Chatter; stability analysis; nonlinear dynamics; chaos; bifurcations.