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Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments

Publication ,  Journal Article
Stepan, G; Szalai, R; Mann, BP; Bayly, PV; Insperger, T; Gradisek, J; Govekar, E
Published in: Journal of Vibration and Acoustics
January 1, 2005

High-speed milling is often modeled as a kind of highly interrupted machining, when the ratio of time spent cutting to not cutting can be considered as a small parameter. In these cases, the classical regenerative vibration model, playing an essential role in machine tool vibrations, breaks down to a simplified discrete mathematical model. The linear analysis of this discrete model leads to the recognition of the doubling of the so-called instability lobes in the stability charts of the machining parameters. This kind of lobedoubling is related to the appearance of period doubling vibrations originated in a flip bifurcation. This is a new phenomenon occurring primarily in low-immersion high-speed milling along with the Neimark-Sacker bifurcations related to the classical self-excited vibrations or Hopf bifurcations. The present work investigates the nonlinear vibrations in the case of period doubling and compares this to the well-known subcritical nature of the Hopf bifurcations in turning processes. The identification of the global attractor in the case of unstable cutting leads to contradiction between experiments and theory. This contradiction draws the attention to the limitations of the small parameter approach related to the highly interrupted cutting condition. Copyright © 2005 by ASME.

Duke Scholars

Published In

Journal of Vibration and Acoustics

DOI

ISSN

1048-9002

Publication Date

January 1, 2005

Volume

127

Issue

2

Start / End Page

197 / 203

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
 

Citation

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Chicago
ICMJE
MLA
NLM
Stepan, G., Szalai, R., Mann, B. P., Bayly, P. V., Insperger, T., Gradisek, J., & Govekar, E. (2005). Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments. Journal of Vibration and Acoustics, 127(2), 197–203. https://doi.org/10.1115/1.1891818
Stepan, G., R. Szalai, B. P. Mann, P. V. Bayly, T. Insperger, J. Gradisek, and E. Govekar. “Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments.” Journal of Vibration and Acoustics 127, no. 2 (January 1, 2005): 197–203. https://doi.org/10.1115/1.1891818.
Stepan G, Szalai R, Mann BP, Bayly PV, Insperger T, Gradisek J, et al. Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments. Journal of Vibration and Acoustics. 2005 Jan 1;127(2):197–203.
Stepan, G., et al. “Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments.” Journal of Vibration and Acoustics, vol. 127, no. 2, Jan. 2005, pp. 197–203. Scopus, doi:10.1115/1.1891818.
Stepan G, Szalai R, Mann BP, Bayly PV, Insperger T, Gradisek J, Govekar E. Nonlinear dynamics of high-speed milling - Analyses, numerics, and experiments. Journal of Vibration and Acoustics. 2005 Jan 1;127(2):197–203.

Published In

Journal of Vibration and Acoustics

DOI

ISSN

1048-9002

Publication Date

January 1, 2005

Volume

127

Issue

2

Start / End Page

197 / 203

Related Subject Headings

  • Acoustics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering