This paper investigates the increased stability behavior commonly observed in low-speed machining. In the past, this improved stability has been attributed to the energy dissipated by the interference between the workpiece and the tool relief face. In this study, an alternative physical explanation is described. In contrast to the conventional approach, which uses a point force acting at the tool tip, the cutting forces are distributed over the tool-chip interface. This approximation results in a second-order delayed integrodifferential equation for the system that involves a short and a discrete delay. A method for determining the stability of the system for an exponential shape function is described, and temporal finite element analysis is used to chart the stability regions. Comparisons are then made between the stability charts of the point force and the distributed force models for continuous and interrupted turning.
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e-mail: firas.khasawneh@duke.edu
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October 2009
Research Papers
Increased Stability of Low-Speed Turning Through a Distributed Force and Continuous Delay Model
Firas A. Khasawneh,
Firas A. Khasawneh
Department of Mechanical Engineering and Materials Science,
e-mail: firas.khasawneh@duke.edu
Duke University
, Durham, NC 27708
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Brian P. Mann,
Brian P. Mann
Department of Mechanical Engineering and Materials Science,
Duke University
, Durham, NC 27708
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Tamás Insperger,
Tamás Insperger
Department of Applied Mechanics,
Budapest University of Technology and Economics
, H-1521 Budapest, Hungary
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Gabor Stépán
Gabor Stépán
Department of Applied Mechanics,
Budapest University of Technology and Economics
, H-1521 Budapest, Hungary
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Firas A. Khasawneh
Department of Mechanical Engineering and Materials Science,
Duke University
, Durham, NC 27708e-mail: firas.khasawneh@duke.edu
Brian P. Mann
Department of Mechanical Engineering and Materials Science,
Duke University
, Durham, NC 27708
Tamás Insperger
Department of Applied Mechanics,
Budapest University of Technology and Economics
, H-1521 Budapest, Hungary
Gabor Stépán
Department of Applied Mechanics,
Budapest University of Technology and Economics
, H-1521 Budapest, HungaryJ. Comput. Nonlinear Dynam. Oct 2009, 4(4): 041003 (12 pages)
Published Online: August 24, 2009
Article history
Received:
December 31, 2007
Revised:
September 26, 2008
Published:
August 24, 2009
Citation
Khasawneh, F. A., Mann, B. P., Insperger, T., and Stépán, G. (August 24, 2009). "Increased Stability of Low-Speed Turning Through a Distributed Force and Continuous Delay Model." ASME. J. Comput. Nonlinear Dynam. October 2009; 4(4): 041003. https://doi.org/10.1115/1.3187153
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