Abstract
In this paper, a on-line estimation method of the radial immersion angle using cutting force is presented. The ratio of cutting forces in feed and cross-feed directions acting on the single tooth at the immersion angle is a function of the immersion angle and the ratio of radial to tangential cutting force. It is found that the ratio of radial to tangential cutting force is not affected by cutting conditions and axial rake angle, which implies that the ratio determined by one preliminary experiment can be used regardless of the cutting conditions for a given tool and workpiece material. Using the measured cutting force during machining and predetermined ratio, the radial immersion ratio is estimated in process. Various experimental results show that the proposed method works within5% error range.
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Abbreviations
- ø:
-
Rotation angle of the insert
- øs :
-
Immersion angle or swept angle of cut
- øt :
-
Angle between teeth (=2π/N)
- a :
-
Depth of cut in axial direction [mm]
- h(ø) =St sin ø:
-
Instantaneous uncut chip thickness at an angleø
- K t :
-
Specific cutting coefficient [N/mm2]
- N :
-
Number of teeth
- γ(h(ø)):
-
Tangential to radial cutting force ratio at an angleø
- γ(h(øs)) :
-
Tangential to radial cutting force ratio at an immersion angleøs
- St :
-
Feed per tooth [mm’/tooth]
References
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Hwang J. H., Oh Y. T., Kwon W. T. and Chu C. N., 1999, “On-line Estimation of Radial Immersion Ratio in Face Milling Using Cutting Force,”Korean Society of Precision Engineering, Vol 16, No. 8, pp. 178–185.
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Kwon, W.T., Choi, D. In-process estimation of radial immersion angle using cutting force in face milling. KSME International Journal 16, 873–881 (2002). https://doi.org/10.1007/BF02949714
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DOI: https://doi.org/10.1007/BF02949714