Robust regenerative chatter stability in machine tools |
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Authors: | S S Park Y M Qin |
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Affiliation: | (1) Department of Mechanical and Manufacturing Engineering, University of Calgary, T2N 1N4 Calgary, AB, Canada |
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Abstract: | The expeditious nature of manufacturing markets inspires advancements in the effectiveness, efficiency and precision of machining
processes. Often, an unstable machining phenomenon, called regenerative chatter, limits the productivity and accuracies in
machining operations. Since the 1950s, a substantial amount of research has been conducted on the prevention of chatter vibration
in machining operations. In order to prevent regenerative chatter vibrations, the dynamics between the machine tool and workpiece
are critical. Conventional regenerative chatter theories have been established based on the assumption that the system parameters
in machining are constant. However, the dynamics and system parameters change due to high spindle speeds, tool geometries,
orientation of the tool with respect to the rest of the machine, tool wear and non-uniform workpiece material properties.
This paper provides a novel method, based on the robust stability theorem, to predict chatter-free regions for machining processes,
by taking in account the unknown uncertainties and changing dynamics for machining. The effects of time-variant parameters
on the stability are analyzed using the robust stability theorem. The experimental tests are performed to verify the stability
of SDOF and MDOF milling systems. The uncertainties and changing dynamics are taken into account in order to accommodate the
optimal selection of machining parameters, and the stability region is determined to achieve high productivity and accuracy
through applications of the robust stability theorem. |
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Keywords: | Regenerative chatter Robust stability theorem Zero exclusion theorem |
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