An oblique cutting model is developed to predict the thrust and torque created by the chisel edge of a drill with an arbitrary point geometry. The chisel edge geometry is modeled using a mathematical representation of the flank grinding parameters and the flute geometry. The varying cutting angles at the chisel edge are determined and used to calculate the force contribution of each element using a mechanistic modeling approach. The model is validated for three commercial point geometries—the conical, helical and Racon® drill points. Model simulations match experimental data well for the geometries tested and show a marked improvement over the orthogonal cutting model.
Issue Section:
Technical Papers
1.
Shaw
, M. C.
, and Oxford
, C. J.
, 1957
, “On the Drilling of Metals—II. The Torque and Thrust in Drilling
,” Trans. ASME
, 79
, pp. 139
–148
.2.
Stephenson
, D. A.
, and Agapiou
, J. S.
, 1992
, “Calculation of Main Cutting Edge Forces and Torque for Drills With Arbitrary Point Geometries
,” Int. J. Mach. Tools Manuf.
, 32
, pp. 521
–538
.3.
Chandrasekharan
, V.
, Kapoor
, S. G.
, and DeVor
, R. E.
, 1998
, “Mechanistic Model to Predict the Cutting Force System for Arbitrary Drill Point Geometry
,” J. Manuf. Sci. Eng.
, 120
, pp. 563
–570
.4.
Williams
, R. A.
, 1970
, “A Study of the Basic Mechanics of the Chisel Edge of a Twist Drill
,” Int. J. Prod. Res.
, 8
, pp. 325
–343
.5.
Armerago
, E. J. A.
, and Wiriyacosol
, S.
, 1979
, “Thrust and Torque Prediction in Drilling From a Cutting Mechanics Approach
,” CIRP Ann.
, 28
, pp. 87
–91
.6.
Chandrasekharan
, V.
, Kapoor
, S. G.
, and DeVor
, R. E.
, 1995
, “A Mechanistic Model to Predict the Cutting Forces in Drilling: With Application to Fiber Reinforced Composite Materials
,” ASME J. Eng. Ind.
, 117
, pp. 559
–570
.7.
Elhachimi
, M.
, Torbaty
, S.
, and Joyot
, P.
, 1999
, “Mechanical Modeling of High Speed Drilling. 1: Predicting Torque and Thrust
,” Int. J. Mach. Tools Manuf.
, 39
, pp. 553
–568
.8.
Tsai
, W. D.
, and Wu
, S. M.
, 1979
, “A Mathematical Model for Drill Point Design and Grinding
,” ASME J. Eng. Ind.
, 101
, pp. 333
–340
.9.
Galloway
, D. F.
, 1957
, “Some Experiments on the Influence of Various Factors on Drill Performance
,” Trans. ASME
, 79
, pp. 191
–231
.10.
Armerago
, E. J. A.
, and Wright
, J. D.
, 1980
, “An Analytical Study of Three Point Grinding Methods for General Purpose Twist Drills
,” CIRP Ann.
, 29
, pp. 5
–10
.11.
Watson
, A. R.
, 1985
, “Drilling Model for Cutting Lip and Chisel Edge and Comparison of Predicted and Experimental Results. III—Drilling Model for Chisel Edge
,” Int. J. Mach. Tool Des. Res.
, 25
, pp. 377
–392
.12.
Oxford
, Jr., C. J.
, 1955
, “On the Drilling of Metals—I. Basic Mechanics of the Process
,” Trans. ASME
, 77
, pp. 103
–114
.13.
Mauch, C. A., and Lauderbaugh, L. K., 1990, “Modeling the Drilling Process—An Analytical Model to Predict Thrust Force and Torque,” Computer Modeling and Simulation of Manufacturing Processes, ASME PED, Vol. 48.
14.
Kachanov, L. M., 1971, Foundations of the Theory of Plasticity, North-Holland Publishing Company, Amsterdam, pp. 129–139.
15.
Chandrasekharan
, V.
, Kapoor
, S. G.
, and DeVor
, R. E.
, 1996
, “A Calibration Procedure for Fundamental Oblique Cutting Coefficients Based on a Three-Dimensional Mechanistic Cutting Force Model
,” Trans. NAMRI/SME
, XXIV
, pp. 39
–44
.Copyright © 2005
by ASME
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