Stability of milling with non-uniform pitch and variable helix Tools

The International Journal of Advanced Manufacturing Technology volume 89, pages 2613–2625 (2017)Cite this article

Abstract

We study mechanical vibrations in milling with non-uniform pitch and variable helix tools. The process is modeled by a periodic delay differential equation with distributed delay, which takes into account, for example, the nonlinear cutting force behavior, the effect of runout, and the exact delay distribution due to the unequally spaced flutes. We present a new method for the identification of the chatter stability lobes from the linearized system that is based on the multifrequency solution. We give detailed remarks on the truncation of the resulting infinite dimensional matrices and the efficient numerical implementation of the method. Cutting tests for steel milling with a customary end mill with non-uniform pitch and variable helix angle and a conventional end mill with uniform pitch and constant helix angle are performed. The numerical and experimental results coincide well. They reveal a significant increase of the limiting depth of cut for the variable helix tool compared to the conventional tool. Moreover, we show that in contrast to conventional tools, for non-uniform pitch and variable helix tools, an exact model with time-varying coefficients, nonlinear cutting force behavior, and runout is necessary for an accurate prediction of the stability lobes.

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Author information

Affiliations

  1. Insitute of Physics, TU Chemnitz, 09107, Chemnitz, Germany

    Andreas Otto & Günter Radons

  2. Fraunhofer Institute for Machine Tools and Forming Technology IWU, Reichenhainer Straße 88, 09126, Chemnitz, Germany

    Stefan Rauh & Steffen Ihlenfeldt

  3. Institute for Machine tools and Control Engineering, TU Dresden, 01062, Dresden, Germany

    Steffen Ihlenfeldt

Authors
  1. Andreas Otto
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  2. Stefan Rauh
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  3. Steffen Ihlenfeldt
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  4. Günter Radons
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Corresponding author

Correspondence to Andreas Otto.

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Otto, A., Rauh, S., Ihlenfeldt, S. et al. Stability of milling with non-uniform pitch and variable helix Tools. Int J Adv Manuf Technol 89, 2613–2625 (2017). https://doi.org/10.1007/s00170-016-9762-2

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Keywords

  • Milling
  • Chatter
  • Vibration
  • Stability
  • Non-uniform pitch
  • Variable helix