Berlin 2012 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Posters I

DY 22.32: Poster

Mittwoch, 28. März 2012, 17:00–19:00, Poster A

Applications of variable delay dynamics: Stability of regenerative chatter in machining with spindle speed variation — •Andreas Otto and Günter Radons — Institute of Physics, 09107 Chemnitz, Germany

Undesired vibrations in machining cause poor surface finish, increased tool wear, noise and machine tool damage. The main reason are unstable self-excited vibrations, which are called regenerative chatter. In this sense the chatter stability limit is an upper bound for the material removal rate.

Regenerative chatter in machining processes can be modeled by delay differential equations, where the value of the time delay is related to the period of rotation of the workpiece or cutting tool spindle. The implementation of an active spindle speed variation enables the modulation of a time-varying delay which can stabilize unstable chatter vibrations and allows stable cutting processes with higher material removal rates.

A method for an approximation of the chatter stability limit [1] is presented, which gives a simple connection between the stability limit for constant and time-varying delay. It can be used to estimate the efficiency or to find optimal parameters of the spindle speed variation.

[1] A.Otto, G. Kehl, M. Mayer and G. Radons, Stability analysis of machining with spindle speed variation, Adv. Mater. Res. 223, 600-609 (2011).