Behavior of Self-Excited Chatter Due to Multiple Regenerative Effect

Abstract

The behavior of self-excited chatter after an excitation is studied by introducing the new idea of a multiple regenerative effect. This considers not only the effect of one turn before, but that of two or more turns before. The analysis explains well some characteristics of the chatter, such as the finite amplitude after the onset, and the generation of chatter marks. Increase of the stability at low cutting speeds is also discussed in terms of a resistive force due to the relative motion between work and tool.

On the Free Vibration Modeling of Spindle Systems: A Calibrated Dynamic Stiffness Matrix

“…However, one should note that setting the spinning speed exactly to zero would cause the DSM formulation to collapse. This is due to the fact that the DSM formulation pivots around combining the two expressions (10) into a single on (11), through the coupling terms involving Ω [31,32]. However, an extremely small number (Ω ≅ 0) can be used to model the stationary spindle.…”

“…In 1981, Tlusty and Ismail published one of the first papers that documented the nonlinearity of the vibratory system occurring during chatter [10]. Kondo et al [11] added to Tlusty and Ismail's investigation the behaviour of the tool after the onset of chatter. An important study, carried out by Lee et al in 1989, helped bring a more complete theory of chatter to light [12], where they looked into the response of the work piece to chatter.…”

Self-Tuning Algorithm for Tuneable Clamping Table for Chatter Suppression in Blade Recontouring

“…However, the real milling cases are subdued to the fly-over non-smoothness [51], effect by which the cutting edge jumps out of the cut due to the vibration. Apart from being the cause of the vibration amplitude reaching a threshold instead of growing indefinitely, this strong non-linearity also induces a multi-regenerative effect than can make the chatter frequencies diverge from the ideal linear case [52] and, thus, compromise the effectiveness of the tuning strategy.…”

Evaluation of dynamic stiffness of machine tool spindle by non-contact excitation tests

“…In general, the analytical predictions are confirmed by the results of cutting tests. However, cutting processes have various effects, such as the multiple regenerative effect [14,15], process damping [16], multiple frequencies, and multiple delay [17]. These effects make it difficult to isolate the dynamic behavior of the spindle for analysis.…”