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Stability of interrupted cutting by temporal finite element analysis

Publication ,  Journal Article
Bayly, PV; Halley, JE; Mann, BP; Davies, MA
Published in: Journal of Manufacturing Science and Engineering
January 1, 2003

Chatter in milling and other interrupted cutting operations occurs at different combinations of speed and depth of cut from chatter in continuous cutting. Prediction of stability in interrupted cutting is complicated by two facts: (1) the equation of motion when cutting is not the same as the equation when the tool is free; (2) no exact analytical solution is known when the tool is in the cut. These problems are overcome by matching the free response with an approximate solution that is valid while the tool is cutting. An approximate solution, not restricted to small times in the cut, is obtained by the application of finite elements in time. The complete, combined solution is cast in the form of a discrete map that relates position and velocity at the beginning and end of each element to the corresponding values one period earlier. The eigenvalues of the linearized map are used to determine stability. This method can be used to predict stability for arbitrary times in the cut; the current method is applicable only to a single degree of freedom. Predictions of stability for a 1-degree of freedom case are confirmed by experiment.

Duke Scholars

Published In

Journal of Manufacturing Science and Engineering

DOI

ISSN

1087-1357

Publication Date

January 1, 2003

Volume

125

Issue

2

Start / End Page

220 / 225

Related Subject Headings

  • Industrial Engineering & Automation
  • 4014 Manufacturing engineering
  • 0913 Mechanical Engineering
  • 0910 Manufacturing Engineering
 

Citation

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Bayly, P. V., Halley, J. E., Mann, B. P., & Davies, M. A. (2003). Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering, 125(2), 220–225. https://doi.org/10.1115/1.1556860
Bayly, P. V., J. E. Halley, B. P. Mann, and M. A. Davies. “Stability of interrupted cutting by temporal finite element analysis.” Journal of Manufacturing Science and Engineering 125, no. 2 (January 1, 2003): 220–25. https://doi.org/10.1115/1.1556860.
Bayly PV, Halley JE, Mann BP, Davies MA. Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering. 2003 Jan 1;125(2):220–5.
Bayly, P. V., et al. “Stability of interrupted cutting by temporal finite element analysis.” Journal of Manufacturing Science and Engineering, vol. 125, no. 2, Jan. 2003, pp. 220–25. Scopus, doi:10.1115/1.1556860.
Bayly PV, Halley JE, Mann BP, Davies MA. Stability of interrupted cutting by temporal finite element analysis. Journal of Manufacturing Science and Engineering. 2003 Jan 1;125(2):220–225.

Published In

Journal of Manufacturing Science and Engineering

DOI

ISSN

1087-1357

Publication Date

January 1, 2003

Volume

125

Issue

2

Start / End Page

220 / 225

Related Subject Headings

  • Industrial Engineering & Automation
  • 4014 Manufacturing engineering
  • 0913 Mechanical Engineering
  • 0910 Manufacturing Engineering