This paper describes the use of subharmonic sampling to distinguish between different instability types in milling. It is demonstrated that sampling time-domain milling signals at integer multiples of the tooth period enables secondary Hopf and period-n bifurcations to be automatically differentiated. A numerical metric is applied, where the normalized sum of the absolute values of the differences between successively sampled points is used to distinguish between the potential bifurcation types. A new stability map that individually identifies stable and individual bifurcation zones is presented. The map is constructed using time-domain simulation and the new subharmonic sampling metric.
Milling Stability Interrogation by Subharmonic Sampling
Manuscript received May 24, 2016; final manuscript received September 16, 2016; published online October 19, 2016. Assoc. Editor: Laine Mears.
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Honeycutt, A., and Schmitz, T. L. (October 19, 2016). "Milling Stability Interrogation by Subharmonic Sampling." ASME. J. Manuf. Sci. Eng. April 2017; 139(4): 041009. https://doi.org/10.1115/1.4034894
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