This two-part paper is aimed at developing a theoretical and numerical simulation basis for initial penetration phenomena that profoundly influence hole tolerances and shape. In Part 1, dynamic force models are developed followed by models of the drill’s dynamic behavior in Part 2. Next, these models are combined and used to predict initial penetration behavior and hole shape. A comparison of simulated and experimental results concludes Part 2. In this part, by considering the effects of drill grinding errors and drill deflections, dynamic cutting chip thickness models are developed which, in combination with workpiece surface inclination effects, allow the formulation of expressions for the dynamic chip thickness and cutting chip cross-sectional area. By using these quantities to replace their static counterparts, static drilling force models are extended to facilitate the prediction of dynamic cutting forces. Separate thrust, torque, and radial force models for the major cutting edges, secondary cutting edge, and for the indentation zone are formulated. The effects of drill installation errors on the radial cutting forces acting on the chisel edge and the major cutting edges are also included.

1.
Oxford
,
C. J.
,
1955
, “
On the Drilling of Metals I-Basic Mechanics of the Process
,”
ASME Trans.
,
77
, pp.
103
114
.
2.
Shaw
,
M. C.
, and
Oxford
,
C. J.
,
1957
, “
On the Drilling of Metals, II: The Torque and Thrust in Drilling
,”
ASME Trans.
,
79
, pp.
139
148
.
3.
Williams
,
R. J.
,
1974
, “
A Study of the Drilling Process
,”
J. Eng. Ind.
,
96
, pp.
1207
1215
.
4.
Armarego
,
E. J. A.
, and
Cheng
,
C. Y.
,
1972
, “
Drilling With Flat Rake Face and Conventional Twist Drill-I. Theoretical Investigation
,”
Int. J. Mach. Tool Des. Res.
,
12
, pp.
17
35
.
5.
Watson
,
A. R.
,
1985
, “
Geometry of Drill Element
,”
J. Machine Tool Des. Res.
,
25
(
3
), pp.
209
227
.
6.
Kaminski
,
J.
, and
Crafoord
,
R.
,
1994
, “
Positional Accuracy of Holes When Drilling in Inclined Workpiece Surfaces, Part I-Experimental Results
,”
Proc. Inst. Mech. Eng.
,
208
, pp.
129
139
.
7.
Kaminski
,
J.
, and
Crafoord
,
R.
,
1994
, “
Positional Accuracy of Holes When Drilling in Inclined Workpiece Surfaces, Part II-Mathematical Force Model
,”
Proc. Inst. Mech. Eng.
,
208
, pp.
141
152
.
8.
Chandrasekharan
,
V.
,
Kapoor
,
S. G.
, and
Devor
,
R. E.
,
1995
, “
A Mechanistic Approach to Predict the Cutting Force in Drilling: With Application to Fiber-Reinforced Composite Materials
,”
J. Eng. Ind.
,
117
, pp.
559
570
.
9.
Lin, C., Jalisi, M. N., and Ehmann, K. F., 1994, “Experimental Analysis of Initial Penetration in Drilling,” Materials Issues in Machining-II, edited by Stephenson, D. A. and Stevenson, R., pp. 383–408, TMS, Warrendale.
10.
Gu
,
F.
,
Kapoor
,
S. G.
,
DeVor
,
R. E.
, and
Bandyopadhyay
,
P.
,
1992
, “
A Cutting Force Model for Force Milling With a Step Cutter
,”
Trans. NAMRI/SME
,
20, 1992
, pp.
361
367
.
11.
Oxley
,
P. L. B.
,
1963
, “
Rate of Strain Effect in Metal Cutting
,”
ASME J. Eng. Ind.
,
85
, pp.
339
345
.
12.
Stephenson, D. A., and Bandyopadhyay, P., 1995, “Process Independent Force Characterization for Metal Cutting Simulation,” GM Non-classified Publication, No. R&D-8301.
13.
Usui
,
E.
,
Hirota
,
A.
, and
Masuko
,
M.
,
1978
, “
Analytical Prediction of Three Dimensional Cutting Process, Part I: Basic Cutting Model and Energy Approach
,”
J. Eng. Ind.
,
100
, pp.
222
228
.
14.
Mauch, C. A., and Lauderbaugh, L. K., 1990, “Modeling the Drilling Process—An Analytical Model to Predict Thrust Force and Torque,” ASME Winter Meeting, Dallas, pp. 59–65.
15.
Kachanov, L. M., 1971, Foundation of the Theory of Plasticity, North-Holland, Amsterdam, pp. 245–251.
16.
Gong, Y. P., 2001, “Modeling and Simulation of Micro-Drilling Dynamics,” Ph.D thesis, Northwestern University, Evanston, Illinois.
17.
Chandrasekharan
,
V.
,
Kapoor
,
S. G.
, and
Devor
,
R. E.
,
1997
, “
A Calibration Procedure for Fundamental Oblique-Cutting Model Coefficients Based on a Three Dimensional Mechanistic Drilling Force Model
,”
Trans. NAMRI/SME
,
25, 1997
, pp.
255
260
.
You do not currently have access to this content.